The kinetic energy of the pendulum bob in figure 15-1 increases the most between locations
A. A and B
B. A and C
C. B and D
D. C and D

The Kinetic Energy Of The Pendulum Bob In Figure 15-1 Increases The Most Between LocationsA. A And BB.

Answers

Answer 1

Answer:

 A and C

Explanation:

 Kinetic energy of a body is given by the expression, [tex]KE =\frac{1}{2}mv^2[/tex], where v is the velocity and m is the mass of body.

 In case of a simple pendulum the maximum velocity is at it's stationary position.

So maximum velocity i at position C, which means maximum kinetic energy is at position A.

The velocity of pendulum reduces as the angle between vertical stationary and current position increases.

 So, velocity at E and A are the minimum, so at A and E the kinetic energy value is minimum.

 Now examining the options given, we will understand the kinetic energy increase is maximum in case of A and C.

Answer 2

Answer:A and C

Explanation:


Related Questions

Which field of study would be most useful for a person who wants to grow safe food crops?

Answers

Agriculture

and

botany

Final answer:

Horticulture is the most useful field of study for someone wanting to grow safe food crops. It involves applying knowledge of genetics and plant physiology, understanding environmental factors and their impact on plant growth, and incorporating sustainable agricultural practices.

Explanation:

The field of study that would be most useful for a person who wants to grow safe food crops is Horticulture.

Horticulturists improve crops by applying their knowledge of genetics and plant physiology. This career has been revolutionized by progress made in understanding how environmental factors affect plant growth and development. They take classes in botany, plant physiology, plant pathology, landscape design, and plant breeding. Furthermore, the success of crops is largely dependent on soil quality, which houses a diversity of organisms that maintain nutrient cycles and soil texture. These processes are known as ecosystem services.

To successfully cultivate plants, growers must possess a deep understanding of soil, environmental conditions, and their impact on different plant varieties. Future food production also must be transformed into systems that are environmentally sound and economically affordable, underscoring the relevance of sustainable agricultural practices in Horticulture.

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A student mixes two clear liquids together. After a few minutes, a white powdery solid can be seen settling on the bottom of the test tube. Which of the following is a conclusion that the student can draw based on these observations? Question 12 options:

The two liquids have gone through a chemical change in which a new substance called a precipitate was produced.

The two liquids were pure substances before they were mixed.

The two liquids are toxic and should be handled with extreme caution.

The two liquids have been stored too long and are no longer good.

Answers

Answer:

Option (1).

Explanation:

Precipitation reaction may be defined as the chemical reaction in which an insoluble substance called precipitate formed at the end of reaction. The ions are displaced twice during the precipitation reaction.

The mixing of two clear liquids forms a white substance. This substance is an insoluble precipitate that forms by the chemical combination of the reactants. The two reactants has undergone the chemical change that leads to the formation of precipitate.

Thus, the correct answer is option (1).

Final answer:

The student can conclude that a chemical change occurred and a precipitate was produced.

Explanation:

The student can conclude that the two liquids have gone through a chemical change in which a new substance called a precipitate was produced. When two clear liquids are mixed and a white powdery solid settles on the bottom, it indicates the formation of a precipitate. This is a clear indication of a chemical reaction taking place between the two liquids.

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Carbon (C) and hydrogen (H) are pure substances. Each is made of only one type of atom, but carbon atoms are different from hydrogen atoms. Carbon and hydrogen chemically combine to form methane (CH4)

Based on this information,


A.
carbon, hydrogen, and methane are all compounds.
B.
methane is an element and carbon and hydrogen are compounds.
C.
carbon and hydrogen are elements and methane is a compound.
D.
carbon, hydrogen, and methane are all elements

Answers

the answer to this question is c


Base on the information that carbon and hydrogen combined chemically to form methane, carbon and hydrogen are elements and methane is a compound

Elements

Elements are pure substance that contains only atoms that cannot be decomposed into smaller unit by chemical process.

Therefore, Carbon(C) and Hydrogen(H) are elements because they are pure substance that cannot be decompose by any chemical process.

Compounds

Compound are formed by chemically bonding two or more chemical elements together. Compounds consist of different kind of elements. Therefore, Carbon and Hydrogen combine to form a compound. This is a combination of two elements namely carbon and hydrogen.

The compound formed from this combination is methane and methane is a compound.

Therefore, carbon and hydrogen are elements and methane is a compound

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using the superposition method, calculate the current through R5 in Figure 8-71

Answers

by superposition method we can find current in R5

here first let say only 2V battery is present in the circuit

now the equivalent resistance to be found for which we can say

2.2 k ohm and 1 k ohm is connected in parallel

[tex]r_1 = \frac{2.2 * 1}{2.2 + 1}[/tex]

[tex]r_1 = 0.6875 k ohm[/tex]

now it is in series with 1 k ohm and then that part is in parallel with 2.2 k ohm

[tex]r_2 = \frac{2.2* (1+0.6875)}{2.2 + (1+0.6875)}[/tex]

[tex]r_2 = 0.95 k ohm[/tex]

now the current flowing through the battery is

[tex]i = \frac{2}{1 + 0.95} = 1.02 mA[/tex]

now this will divide into R3 and R2 so current flowing in R3 will be

[tex]i_1 = \frac{2.2}{2.2+1.6875}*1.02 = 0.58 mA[/tex]

now this will again divide in R4 and R5

so current in R5 will be

[tex]i_5 = \frac{R_4}{R_4 + R_5}* i_1 [/tex]

[tex]i_5 = 0.18 mA[/tex]

now when only 3 V battery is present in the circuit

R1 and R2 is in parallel and then it is in series with R3

so parallel combination will be

[tex]r_1 = \frac{1*2.2}{2.2 +1} = 0.6875k ohm[/tex]

also after its series with R3

[tex]r_2 = 1 + 0.6875 = 1.6875 k ohm[/tex]

now it is in parallel with R5 on other side

[tex]r_3 = \frac{1.6875 * 2.2}{1.6875 + 2.2} = 0.95 k ohm[/tex]

now current through the battery will be given as

[tex]i = \frac{3}{1 + 0.95} = 1.53 mA[/tex]

now it is divide in r2 and R5

so current in R5 is given as

[tex]i_5 = \frac{r_2}{r_2 + R_5}*i[/tex]

[tex]i_5 = \frac{1.6875}{2.2 + 1.6875} * 1.53[/tex]

[tex]i_5 = 0.67 mA[/tex]

now the total current in R5 will be given by super position which is

[tex]i = 0.67 + 0.18 = 0.85 mA[/tex]

so there is 0.85 mA current through R5 resistance

A moving rope (parallel to the slope) is used to pull skiers up the mountain. If the slope of the hill is 37" and friction is negligible, what force must the rope provide to pull a 500 N person up the hill at a constant rate?

Answers

Since rope is parallel to the inclined plane so here we can say that net force parallel to the person which is pulling upwards must counterbalance the component of weight of the person.

Now here we will do the components of the weight of the person

given that weight of the person = 500 N

now its components are

[tex]W_x = 500 cos37[/tex]

[tex]W_y = 500 sin37[/tex]

now here as we can say that one of the component is balanced here by the normal force perpendicular to plane

while the other component of the weight is balanced by the force applied on the rope

So here the force applied on the rope will be given as

[tex]F = W_y = 500 sin37[/tex]

[tex]F = 300 N[/tex]

so it apply 300 N force along the inclined plane

At noon on a clear day, sunlight reaches the earth\'s surface at Madison, Wisconsin, with an average intensity of approximately 2.00 kJ·s–1·m–2. If the sunlight consists of photons with an average wavelength of 510.0 nm, how many photons strike a 4.80 cm2 area per second?

Answers

Intensity of sunlight at given position is defined as power received per unit area

so here we can say

[tex]I = 2 kJ/s*m^2[/tex]

area  on which photons are received is given as

[tex]A = 4.80 cm^2 = 4.80 * 10^-4 m^2[/tex]

now we can find the power received due to sunlight

[tex]P = I*A[/tex]

[tex]P = 2* 10^3 * 4.80 * 10^-4[/tex]

[tex]P = 0.96 Watt[/tex]

now we can say this power is due to photons that strikes on surface of earth

so here we can say

[tex]P = N\frac{hc}{\lambda}[/tex]

given here that

[tex]\lambda = 510 nm[/tex]

[tex]0.96 = N\frac{6.6 * 10^{-34}* 3 * 10^8}{510*10^{-9}}[/tex]

[tex]0.96 = N * 3.88 * 10^{-19}[/tex]

[tex]N = \frac{0.96}{3.88*10^{-19}}[/tex]

[tex]N = 2.47 * 10^{18}[/tex]

so it will strike 2.47 * 10^18 photons on given area per second

To find the number of photons hitting a 4.80 cm² area per second, you must convert the area to m², calculate the energy per photon using Planck's constant and the speed of light, determine the total energy per second using the given intensity, and divide by the energy per photon. Approximately [tex]2.45 \times 10^{21[/tex] photons hit the area each second.

To calculate how many photons strike a 4.80 cm² area per second when the sunlight intensity is [tex]2.00 kJ \cdot s^{-1} \cdot m^{-2}[/tex] and the average wavelength of photons is 510.0 nm, follow these steps:

Convert the area from cm² to m²: 4.80 cm² = 4.80 × [tex]10^{-4}[/tex] m².

Calculate the energy per photon using the formula E = hc/λ, where h is Planck's constant (6.626 × [tex]10^{-34}[/tex] J·s), c is the speed of light (3.00 × [tex]10^8[/tex] m/s), and λ is the wavelength in meters.

Convert the wavelength from nm to m: 510.0 nm = 510.0 × [tex]10^{-9}[/tex] m.

Calculate the energy per photon: E = (6.626 × [tex]10^{-34}[/tex] J·s × 3.00 × [tex]10^8[/tex] m/s) / (510.0 × [tex]10^{-9}[/tex] m) = ≈ 3.91 × [tex]10^{-19}[/tex] J.

Determine the total energy hitting the area per second: Energy = Intensity x Area = 2.00 kJ/s·m² × 4.80 × [tex]10^{-4}[/tex] m² = 0.96 J/s.

Divide the total energy hitting the area per second by the energy per photon to find the number of photons: Number of photons = 0.96 J/s / 3.91 × [tex]10^{-9}[/tex] J/photon ≈ 2.45 × [tex]10^{21}[/tex] photons/s.

Therefore, approximately 2.45 × [tex]10^{21}[/tex] photons hit a 4.80 cm² area each second on a clear day in Madison, Wisconsin.

20% of injury crashes in 2009 involve the reports of distracted driving. True or false

Answers

The statement is true.

Which graph set-up would enable students to calculate instantaneous acceleration from the slope on the graph? a) Place distance on the x-axis and time on the y-axis b) Place time on the x-axis and distance on the y-axis c) Place speed on the x-axis and distance on the y-axis d) Place time on the x-axis and velocity on the y-axis

Answers

Instantaneous acceleration is defined as rate of change in velocity

it is given by the equation

[tex]a = \frac{dv}{dt}[/tex]

so here it shows that acceleration is always depends on change in velocity with time and now if we required this change in velocity with time for a small instant of time then it will be given by the slope of velocity and time graph.

So here the graph must be like this to find the slope of any graph we always use the concept that for any graph between y and x we use

[tex]slope = \frac{dy}{dx}[/tex]

if we compare it with the formula of acceleration above

then on Y axis we must have to draw the speed and on x axis we must have to draw the time

so correct answer must be

d) Place time on the x-axis and velocity on the y-axis

How many significant figures does the value 0.080 have? A. 1 B. 2 C. 3 D. 4

Answers

B, 2. The eight of course is a significant figure as well as the zero after it

Answer:

2

Explanation:

The first person to answer was right

Suppose that a small french bulldog grows isometrically. If its surface area increases by a factor of 3, by what factor does its volume increase by?

Answers

Here's the handy factoid I always carry around in my toolbox:

When the three dimensions of a solid object all change by a factor of ' K ' . . . .

--  the surface area of the object changes by a factor of  K²

-- the volume of the object changes by a factor of  K³ .

So I guess if the surface area increases by 3, that means each linear dimension increased by √3, and the volume has to increase by  (√3)³ .  

That's 5.196 times the dog's original volume.

(And so does his weight.  The poor thing is staggering around wondering what was in that last bowl of kibble that he inhaled.)

The volume of bullbog is increased by a factor 5.2 when its surface area increases by a factor of 3

What is volume ?

Volume is a three dimensional space occupy by the body of particular shape. Generally expressed in cubic meter.

It should be noted that :

A solid object's three dimensions change by a factor of K when all three dimensions change by the same factor, which means its surface area changes by a factor of K², and its volume changes by a factor of K³ when the three dimensions change by the same factor.

It is given that the a small french bulldog grows isometrically which  means that any change in dimension of bulldog will change equally in all direction and surface area of increases by factor 3,

Then the side will increase by a factor of :

k² = 3

k = √3

Now the volume of bulldog will increase by factor of :

k³ = (√3)³

   ≈ 5.2

Therefore, the volume of bullbog is increased by a factor 5.2

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A 55 kg block needs to be lifted 30m. Once lifted, what is the block’s potential energy?

Answers

Mass of block = 55kg

Height   = 30m

Block's potential energy at height of 30 m=/

As

Potential energy = mgh

g=9.8m/sec²

So P.E= (55kg)(9.8m/sec²)(30m)

P.E= 16170 kgm²/sec²

P.E= 16170 joules

Final answer:

The potential energy of the 55 kg block that is lifted 30 m can be calculated using the formula: Potential Energy = mass x gravity x height. Plugging in the values, the potential energy of the block is 16,170 Joules.

Explanation:

The potential energy of a block lifted to a certain height can be calculated using the formula:

Potential Energy = mass × gravity × height

Given that the mass of the block is 55 kg, the acceleration due to gravity is 9.8 m/s2, and the height is 30 m, we can plug in these values to calculate the potential energy of the block:

Potential Energy = 55 kg × 9.8 m/s2 × 30 m = 16,170 J

Therefore, the potential energy of the block is 16,170 Joules.

What is the shape of the graph for motion with constant, nonzero acceleration, the position-versus-time graph

Answers

Final answer:

A position-versus-time graph for motion with constant, nonzero acceleration forms a parabola, as the position increases at an increasing rate due to constant acceleration.

Explanation:

The shape of the graph for motion with constant, nonzero acceleration on a position-versus-time graph is a parabola. Acceleration - the rate of change of velocity - is constant in this scenario, implying that velocity is increasing at a constant rate. As a result, position, which is the area under the velocity versus time graph, increases at an increasing rate. This is represented graphically by a parabolic curve.

For instance, consider a car starting from rest and accelerating at a consistent rate. At the beginning of motion, the car covers a relatively small distance, resulting in a low point on the graph. As time progresses and the car accelerates, the distance covered in each subsequent time interval increases, resulting in an upward curve on the position-versus-time graph. The steepness of the curve increases with time, forming a parabolic shape.

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Norma kicks a soccer ball with an initial velocity of 10.0 meters per second at an angle of 30.0% if the ball moves though the air for 3.2 seconds what’s the horizontal distance traveled by the ball

Answers

Final answer:

To find the horizontal distance traveled by the ball, we calculate the horizontal component of its initial velocity by multiplying the initial velocity by the cosine of the angle.

Explanation:

To find the horizontal distance traveled by the ball, we need to calculate the horizontal component of its initial velocity. Since the initial velocity is given as 10.0 m/s at an angle of 30.0°, we can use trigonometry to determine the horizontal component.

The horizontal component can be found by multiplying the initial velocity by the cosine of the angle:

Horizontal component = initial velocity * cos(angle)

Plugging in the given values, we get:

Horizontal component = 10.0 m/s * cos(30.0°) = 10.0 m/s * 0.866 = 8.66 m/s

Now, we can calculate the horizontal distance traveled by multiplying the horizontal component of the initial velocity by the time the ball moves through the air:

Horizontal distance = horizontal component * time = 8.66 m/s * 3.2 s = 27.712 m

Therefore, the horizontal distance traveled by the ball is approximately 27.712 meters.

Bethany had a beaker with a small amount of baking soda. She added a few drops of pickle juice to the baking soda and observed fizzing and bubbling. Based on her observation, which of these can Bethany determine about the new substance formed by mixing the baking soda and pickle juice?
Options:


A chemical reaction produced a gas.


A chemical reaction produced a solid.


No chemical reaction took place.


Only a physical change happened.

Answers

A chemical reaction produced a gas

A chemical reaction produced a gas. I use to make rockets with baking soda and vinegar. Just put the 2 together and jam a plug in the top and the gas will shoot it into the air.

A 1.00x10^3 crate is being pushed across a level floor at a constant speed by a force

Answers

Answer:

The answer is 0.39 m/s ²

Explanation:

Since the box moves with steady speed,  

Friction=force in even direction=260*Cos20=244.3N  

Ordinary force=mg+FSinθ=1089N  

μN=f  

μ=244.3/1089=0.224  

N=mg-FSinθ=911.1N  

a=(260 Cos20-0.224*911.1)/(1000/9.8)=0.39m/s²

Which is a form of vaporization?

Answers

"Vaporize" means "turn into vapor".

A). Condensation . . . No. That's turning from gas into liquid.

B). Evaporation . . . Yes.  That's turning from liquid into gas.

C). Freezing . . . No. That's turning from liquid into solid.

D). Melting . . . No. That's turning from solid into liquid.

I’d say the answer is b, evaporation because like it’s a form of vaporization

If a space shuttle is traveling at 17460 miles per hour ,how fast is ot moving per minute

Answers

There are 60 minutes in 1 hour.  If the ship covers 17,460 miles in one hour, then it covers (17,460 / 60) = 291 miles in 1 minute.

Also 4.85 miles in 1 second, and 419,040 miles in 1 day.

If a space shuttle travels at 17460 miles per hour, it is moving at a speed of 291 miles per minute after dividing by 60, the number of minutes in an hour.

If a space shuttle is traveling at 17460 miles per hour, to determine how fast it is moving per minute we can perform a simple conversion. Since there are 60 minutes in an hour, we divide the shuttle's speed by 60.

17460 miles per hour \/ 60 minutes per hour = 291 miles per minute.

So, the space shuttle is moving at a speed of 291 miles per minute.

The total mechanical energy of an object is calculated as _____. the product of kinetic energy and potential energy of the object a fraction of kinetic energy over potential energy of the object the difference of kinetic energy and potential energy of the object the sum of kinetic energy and potential energy of the object

Answers

can be resulted of its motion and or its storer energy of its position

The total mechanical energy of an object is calculated as the sum of kinetic energy and potential energy of the object".

What is mechanical energy ?

Mechanical energy is the total of kinetic and potential energy in the physical sciences. According to the concept of mechanical energy conservation, mechanical energy remains constant in an isolated system when only conservative forces are acting on it. Potential energy increases when an item travels in the opposite direction of a conservative net force. Kinetic energy also varies as an object's speed, not velocity, changes. yet, neoconservative forces, such frictional forces, will always be present in actual systems; yet, if these forces are of minimal magnitude, mechanical energy changes little, making the idea of its conservation a reasonable approximation. The kinetic energy is retained in elastic collisions, but some mechanical energy may be released in inelastic collisions.

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If a track star runs down the runway in the high jump event faster, he will be able to jump to a greater height. This is explained by the conservation of energy. Which statement best explains this idea? A) A faster runner creates more energy during their jump. B) A faster runner can apply a greater force than a slower runner. C) The upward push on the jumper is equal to his downward push on the ground. D) The kinetic energy before the jump is converted to potential during the jump.

Answers

Answer:

Option D

Explanation:

The kinetic energy of a track star is given by the expression [tex]\frac{1}{2} mv^2[/tex], where m is the mass of track star and v is the velocity of track star.

The potential energy is given by the expression mgh , where h is the height of track star and g is acceleration due to gravity value.

By energy conservation theory, energy can neither be created or destroyed.

So a running track stars kinetic energy is converted to potential energy when he jumps.

        [tex]\frac{1}{2} mv^2[/tex] = mgh

                 [tex]h=\frac{v^2}{g}[/tex]

                        h ∝ [tex]v^2[/tex]

 So height reached increases when velocity of speed star increases.

 So the answer is the kinetic energy before the jump is converted to potential during the jump.

Answer:

d

Explanation:

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Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.

What climate zone does Jackson live in ?

A. temperate marine
B. tropical rainy
C. polar
D. dry


Jackson lives near the ocean at sea level. In his state, the winters are mild and the summers are cool. The climate is influenced by water currents along his coast that are generally cold and moving toward the equator.

How does Earth's tilt affect Jackson's temperature zone and its climate? Choose the two that apply.

A. In spring, the sun's rays strike the temperature zone directly, making the temperatures warmer

B. In summer, the sun's rays strike the temperature zone directly, making the temperatures warmer

C. In winter, the sun's rays strike the temperature zone at a lower angle, make the temperatures cooler

D. In autumn, the sun's rays strike the temperature zone at the lowest angle, making the temperatures more mild

Answers

Answer:

A&B

Explanation:

A ) The climate zone that Jackson lives in is : ( A ) Temperate marine

B )  The ways in which the Earth's tilt will affect Jackson's temperature zone and climate are ; ( B and C )  

In summer, the sun's rays strike the temperature zone directly, making the temperatures warmer  ( B ).In winter, the sun's rays strike the temperature zone at a lower angle, make the temperatures cooler ( C ).

Temperate marine climates are climate zones experiencing mild winters and cooler summer unlike other climates, also a temperate marine climate is generally humid because it experiences moderate rainfall for the majority part of the year.Temperate marine climates are experienced in the poleward regions of the Mediterranean climate regions.

The tilting of the Earth allows sun rays to strike the temperature zone during summer directly and at a lower angle during winter.

Hence we can conclude that the  The climate zone that Jackson lives in is :  Temperate marine.

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it took 3.5 hours for a train to travel the distance between two cities at a velocity of 120 miles per hour. How many miles lie between the two cities?

Answers

Given:

Time: 3.5 hrs

Velocity: 120 miles/hr

Now Distance=  Speed × Time

Now Velocity and speed have the same magnitude. Velocity being a vector quantity has a definite direction. Whereas speed is a scalar quantity,it indicates only the magnitude an doesn't define any direction.

Hence Distance = Velocity x time

Distance = 3.5 × 120 = 420 miles

a sprinter with a mass of 70 kg accelerates at a rate of 5 m/
[tex] {s}^{2} [/tex]
. What force is the sprinter exerting

Answers

F = ma

=   70kg ×  5ms⁻²

F =350N  

Final answer:

The sprinter is exerting a force of 350 Newtons.

Explanation:

The force exerted by the sprinter can be calculated using Newton's second law, which states that force is equal to mass multiplied by acceleration. In this case, the sprinter's mass is 70 kg and the acceleration is 5 m/s². So, the force exerted by the sprinter is:

Force = mass x acceleration

Force = 70 kg x 5 m/s²

Force = 350 N

Therefore, the sprinter is exerting a force of 350 Newtons.

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In a 4.0-kilometer race, a runner completes the first kilometer in 5.9 minutes, the second kilometer in 6.2 minutes, the third kilometer in 6.3 minutes, and the final kilometer in 6.0 minutes. The average speed of the runner for the race is approximately

A) 0.16 km/min B) 0.33 km/min

C) 12 km/min D) 24 km/min

Answers

As per the question the total distance is given as 4 km.

We are asked to calculate the average speed.

The time taken by the body to travel each kilometre are 5.9 min,6.2 min.,6.3min. and 6 min. respectively.

The average speed of a body is defined as the ratio of total distance travelled by the body to the total time.

Mathematically the average speed is written as _

V= Total distance/Total time

i.e V = S/T

Where S is the total distance travelled and T is the total time

Here total distance (S)= 4 km

The total time T= (5.9+6.2 +6.3+ 6.0 )minutes

=24.4 min.

Hence average speed V = 4 km/24.4 min

= 0.16 km/min.

Hence the correct option is A .


The average speed of the runner for the race is approximately 0.16km/min.

Option A) 0.16km/min is the correct answer.

Given the data in the question;

Total distance of the race; [tex]d = 4.0km[/tex]Time taken for the First Kilometer; [tex]t_1 = 5.9min[/tex]Time taken for the Second Kilometer; [tex]t_2 = 6.2min[/tex]Time taken for the Third Kilometer; [tex]t_3 = 6.3min[/tex]Time taken for the Final Kilometer; [tex]t_4 = 6.0min[/tex]Average Speed; [tex]s =\ ?[/tex]

First we calculate the total time spent in the race by the runner.

Total time;

[tex]t_{total} = t_1 + t_2 + t_3 + t_4\\\\t_{total} = 5.9min + 6.2min + 6.3min + 6.0min\\\\t_{total} = 24.4min[/tex]

Next, we determine the average speed.

Speed is the distance traveled per unit of time

That is; Speed = Distance / Time

[tex]s = \frac{d}{t}[/tex]

Hence, In this case, [tex]s = \frac{d}{t_{total}}[/tex]

We substitute our values into the equation

[tex]s = \frac{4.0km}{24.4min}\\\\s = 0.16km/min[/tex]

Therefore, the average speed of the runner for the race is approximately 0.16km/min.

Option A) 0.16km/min is the correct answer.

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Aaron's normal response time to apply the car brakes is 0.7 seconds. Aaron's response time doubles when he is tired. How far will Aaron's car travel during the time it takes him to apply the brakes when his car is moving at 30 meters per second whe he is tired? Show the solution.

Answers

Aaron's car is moving at speed of 30 m/s

His reaction time is given as 0.7 s

but when he is tired the reaction time is doubled

Now we need to find the distance covered by his car when he is tired during the time when he react to apply brakes

So here since during this time speed is given as constant so we can say that distance covered can be product of speed and time

So here we can use

[tex]d = v*t[/tex]

[tex]d = 30 * 1.4[/tex]

[tex]d = 42 m[/tex]

So the car will move to 42 m during the time when he apply brakes

according to newtons second law of motion what does an object with more mass require
A)less force to accelerate
B)more force to accelerate
C)less speed to accelerate
D more distance to accelerate

Answers

More force to accelerate. If you push a car compared to a beach ball, which will you have to push harder for it to move? That's pretty much what the question is asking, if that helps any:)  

According to Newton's Second Law of Motion, an object with more mass require: B) more force to accelerate.

Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net external force acting on it and inversely proportional to its mass.

Mathematically, Newton's Second Law of Motion is given by the formula;

[tex] Acceleration = \frac {Force}{Mass} [/tex]

Basically, an object would typically require more force to accelerate when the mass of the object is large.

In conclusion, the acceleration of an object is highly dependent on the net external force acting on the object.

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A ferry approaches shore, moving north with a speed of 6.2 m/s relative to the dock. A person on the ferry walks from one side of the ferry to the other, moving east with a speed of 1.5 m/s relative to the ferry. What is the speed of the person relative to the dock?

Answers

Speed of Ferry is towards North with magnitude 6.2 m/s

Here if we assume that North direction is along Y axis and East is along X axis then we can say

[tex]\vec v_f = 6.2 \hat j[/tex]

Now a person walk on ferry with speed 1.5 m/s towards east with respect to Ferry

so it is given as

[tex]\vec v_{pf} = 1.5 \hat i[/tex]

also by the concept of relative motion we know that

[tex]\vec v_{pf} = \vec v_p - \vec v_f[/tex]

now plug in all values in it

[tex]1.5 \hat i = \vec v_p - 6.2 \hat j[/tex]

[tex]\vec v_p = 1.5 \hat i + 6.2 \hat j[/tex]

now if we need to find the speed of the person then we need to find its magnitude

so it is given as

[tex]v = \sqrt{1.5^2 + 6.2^2}[/tex]

[tex]v = 6.37 m/s[/tex]

which force causes acceleration(gravity)(friction)(velocity )(energy)

Answers

Hello :)

The answer to this problem I️ believe is Velocity. Velocity is the speed of something in any given direction, in general it is used for a term of speed or acceleration.

Hope this helps! ;)
Final answer:

Gravity is the force that causes acceleration. Friction is a force that opposes motion, energy is a capacity to do work, and velocity is a measure of speed in a specific direction.

Explanation:

Of the forces listed in your question, it is the force of gravity that causes acceleration. For example, when an object is dropped, it accelerates toward Earth under this force. This is popularly known as the force of gravity and represented as 'g'. The rate of acceleration due to gravity on Earth is approximately 9.81 m/s². Friction, on the other hand, actually opposes motion and may cause deceleration, if it is the only force acting on an object. Energy is a capacity to do work and does not directly cause acceleration, while velocity is a measure of speed in a specific direction and is a result, not a cause, of acceleration.

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Two airplanes leave an airport at the same time.The velocity of the first airplane is 700 m/h at a heading of 31.3 the velocity of the second is 570 m/h at the heading of 134° how far apart are they after three hours?

Answers

Here in order to find out the distance between two planes after 3 hours can be calculated by the concept of relative velocity

[tex]v_{12} = v_1 - v_2[/tex]

here

speed of first plane is 700 mi/h at 31.3 degree

[tex]v_1 = 700 cos31.3\hat i + 700 sin31.3\hat j[/tex]

[tex]v_1 = 598.12\hat i + 363.7\hat j[/tex]

speed of second plane is 570 mi/h at 134 degree

[tex]v_2 = 570 cos134 \hat i + 570 sin134 \hat j[/tex]

[tex]v_2 = -396\hat i + 410\hat j[/tex]

now the relative velocity is given as

[tex]v_{12} = (598.12 + 396)\hat i + (363.7 - 410)\hat j[/tex]

[tex]v_{12} =994.12\hat i -46.3 \hat j[/tex]

now the distance between them is given as

[tex]d = v* t[/tex]

[tex]d = (994.12 \hat i - 46.3 \hat j)* 3[/tex]

[tex]d = 2982.36\hat i - 138.9\hat j [/tex]

so the magnitude of the distance is given as

[tex]d = \sqrt{2982.36^2 + 138.9^2}[/tex]

[tex]d = 2985.6[/tex] miles

so the distance between them is 2985.6 miles

Answer:

Planes are 2985.48 miles far after 3 hours.

Explanation:

 Let right represents positive x- axis and up represent positive y - axis. Horizontal component is i and vertical component is j.

We have velocity of the first airplane is 700 m/h at an angle 31.3° to the horizontal.

So Velocity of first plane = 700 cos 31.3 i +   700 sin 31.3 j

                                          = (598.12 i + 363.66 j) m/h

We also have velocity of the second airplane is 570 m/h at an angle 134° to the horizontal.

      Velocity of second plane = 570 cos 134 i +   570 sin 134 j

                                                 = (-395.96 i + 410.02 j) m/h

Displacement of first plane after 3 hours = Velocity * Time

                                                    = (598.12 i + 363.66 j) *3

                                                     = (1794.36 i + 1090.98 j) mi

Displacement of second plane after 3 hours = (-395.96 i + 410.02 j)*3

                                                      = (-1187.88 i + 1230.06 j) mi

Displacement vector between two planes = (1794.36 i + 1090.98 j) - (-1187.88 i + 1230.06 j)

                                                      = (2982.24 i - 139.08 j) mi

Magnitude of displacement = [tex]\sqrt{2982.24^2+(- 139.08)^2} =2985.48 mi[/tex]

So planes are 2985.48 miles far after 3 hours.

Is resistance greater or lesser in a hotter wire?

Answers

The answer would be greater.

As the temperature of a common ordinary piece of wire increases, its resistance increases too.

Identify two size dependent properties and two size independent properties of an iron nail

Answers

dependent volume and mass and independent melting point and bowing point

The two size dependent properties of iron are Volume and Mass and size independent properties are Melting point and Boiling point respectively.

The given problem is based on the properties of iron nail. The iron nails are made of steel and small amount of carbon for increasing the hardness.

The two size dependent properties of iron nails are as follows:

Volume:  The volume of iron depends on the density of raw materials that are utilized for the production of raw iron.Mass :  The mass is another dependent property, which varies along with the density as well as the volume of compositions.

The size independent properties of the iron nails are as follows:

Melting point : Melting point is the property which depends on the surrounding temperature to overcome the inter-ionic interactions of material.Boiling point:  The Boiling point of iron is around 2800 Degrees Celsius, which is also an independent property, irrespective of elementary compositions.

Thus, we can conclude that the two size dependent properties of iron are Volume and Mass and size independent properties are Melting point and Boiling point respectively.

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