Kepler's third law relates the period of a planet
to its orbital radius r, the constant G in Newton's law of gravi-
tation (F = Gm1m2/r^2), and the mass of the sun M.. What com-
bination of these factors gives the correct dimensions for the
period of a planet?​

Answers

Answer 1

Answer:

√(r³ / (MG))

Explanation:

The dimensions of each variable are:

r = [m]

G = [m³/kg/s²]

M = [kg]

Multiplying M and G eliminates kilograms:

MG = [m³/s²]

The radius cubed divided by MG eliminates meters:

r³ / (MG) = [s²]

The square root gives us seconds:

√(r³ / (MG)) = [s]

Answer 2

Kepler's third law relates the time  period of a planet to its orbital radius r, the gravitational constant G  and the mass of the sun M, the combination of these factors gives the correct dimensions for the period of a planet would be √( 4πr³/GM)

What are Kepler's laws of planetary motion?

There are three laws of Kepler as follows

The orbit of the planet is elliptical and the sun is present at one of the two focuses of the elliptical path followed by the revolving planet.

A line segment joining a planet and the Sun covers equal areas during equal intervals of the time period.

The square of a planet's orbital period is proportional to the cube of the length of the semi-major axis of its elliptical orbit.

Think about a small mass M traveling in a circle around a large mass M. The centripetal force for mass m comes from gravity. Taking circular motion as an example and applying Newton's second law,

gravitational force balances the centripetal force

GMm/r²  = mv²/r

GM/r = v²/r

Let us take a Time period of the orbital is P

v = 2πr/P

GM/r = 4πr²/P²

P² = 4πr³/GM

P = √( 4πr³/GM)

Thus the correct dimension for the time period in terms of the orbital radius (r), gravitational constant (G ), and the mass of the sun (M) would be √( 4πr³/GM).

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Related Questions

1. The bottom of an elevated water tank has an
area of 135 m². If the pressure on the bottom is
1.52 x 104 Pa, what is the total force the bottom
must support?

Answers

Answer:

2.05×10⁶ N

Explanation:

Force = pressure × area

F = (1.52×10⁴ Pa) (135 m²)

F = 2.05×10⁶ N

Final answer:

The total force the bottom of the tank needs to support is calculated using the formula for pressure which is Pressure = Force / Area. By rearranging this formula to get Force = Pressure x Area, and substituting the given values, we find that the total force is 2.052 x 106 Newtons.

Explanation:

The subject of this question is from the field of Physics and it revolves around concepts of fluid pressure and force. The student is asked to calculate the total force exerted on the bottom of a water tank due to the pressure of the water above it. In physics, we know that pressure is defined as the force applied perpendicular to the surface of an object, per unit area. Mathematically this can be represented as Pressure = Force / Area. If we rearrange this equation to find Force, it transforms into Force = Pressure x Area.

Given in the question, the Pressure (P) is 1.52 x 10⁴ Pa and Area (A) is 135 m². Substituting these values into the equation gives us : Force = 1.52 x 104 Pa x 135 m² = 2.052 x 10⁶ N. Therefore, the bottom of the tank must support a force of 2.052 x 10⁶ Newtons.

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A ball is thrown straight up at an initial speed of 9.8m/s and, on returning to your hand, hits it moving downward at the same speed. If the whole trip took 2.0s, determine the ball’s (a) average acceleration and (b) average velocity.

Answers

Answer:

-9.8 m/s²

0 m/s

Explanation:

Average acceleration is the change in velocity over change in time.

a = Δv / Δt

a = (-9.8 m/s − 9.8 m/s) / 2.0 s

a = -9.8 m/s²

Average velocity is the change in position over change in time.

v = Δx / Δt

v = (0 m − 0 m) / 2.0 s

v = 0 m/s

Final answer:

In terms of Physics, the ball's average acceleration is 0 m/s² and the average velocity is also 0 m/s due to the ball returning to its initial position, making the total displacement 0.

Explanation:

The subject of this question is Physics and it would be typically asked at the High School level.

(a) The ball’s average acceleration during the entire journey can be determined by the equation for motion which is: a = Δv/Δt. Here, Δv (the change in velocity) is 0 as the ball starts and ends at the same speed (it just changes direction, which is not considered in average acceleration), and Δt is the time it takes for the journey, which is 2.0 seconds. Therefore, a=0/2.0 = 0 m/s².

(b) The average velocity of an object is the total displacement (total distance travelled in a specific direction) divided by the amount of time taken to travel this distance. In this case, the ball returns to the starting point, making the total displacement 0. Therefore, the average velocity is 0/2.0 = 0 m/s.

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It takes a pulse of light 35 microseconds to travel down a 5.0 km length of fiber optic cable. How fast does light move through the cable (in m/s)?

Answers

It takes 7 microseconds for each km

A central purple circle labeled N a has 3 concentric rings around it. The inner ring has 2 small green spheres. The middle ring has 8 small green spheres. The outer ring has 1 small green sphere. Does this atom satisfy the octet rule? Why or why not?

Answers

Answer:

This atom doesn’t satisfy octet rule

Explanation:

To satisfy octet rule the outermost shell should have 8 electrons. This is called octet electronic configuration which makes the atom stable. When participating in chemical reactions atoms tend to lose or gain electrons or share electrons like in a covalent bond all to achieve the octet configuration.

In this atom there are three shells and 11 electrons in total. Maximum number of electrons that can be present in the first shell is two and in this atom the first shell contains that maximum electrons. The second can contain maximum 8 electrons. In this atom the second shell is fully filled with 8 electrons.

For octet rule to be satisfied the outermost shell or the valence shell should contain 8 electrons. But in this atom the outermost shell has 1 electron. This means that the atom doesn’t satisfy octet rule. In order to obtain the octet configuration it should lose 1 electron.

Answer:

Answer

Explanation:

Sample Response: No, it does not, because the octet rule says that an atom needs to have eight electrons in its valence shell to be stable. The exceptions are hydrogen and helium, which need only two electrons. This atom has only one electron.

What planet with the largest rings

Answers

Answer: saturn

Explanation:

Saturn, it is known to be the largest with rings.

Which of the following is derived unit?

A: g (grams, mass)

B: m (meters,length)

C: s (seconds, time)

D: m2 (square meters, area)

Answers

Answer:

D: m² (square meters, area)

Explanation:

Derived units are a combination of SI base units.  m² is the only option that's a combination of base units (meters times meters).

Although the temperature gradient changes from region to region in the homosphere, there is one gradient that stays the same. it continues to decrease as you increase in altitude, no matter where you are in the homosphere. what gradient?

please answer quick

Answers

Answer: The amount of air gradient.

Explanation:

Answer:

Pretty sure the answer is air gradient

Explanation:

Traveler A starts from rest at a constant acceleration of 6 m/s^2. Two seconds later, traveler B starts with an initial velocity of 20 m/s at the same acceleration of 6 m/s^2. as measured by a, at what time will traveler B overtake traveler A?

a. 0.4s
b. 1.5s
c. 2.0s
d. 2.5s
e. 3.5s

Answers

Answer:

3. 3.5 s

Explanation:

The position of traveller A is given by the equation:

[tex]x_A(t) = \frac{1}{2}a t^2[/tex]

where

[tex]a = 6 m/s^2[/tex] is the acceleration of A

t is the time measured from when A started the motion

The position of traveller B instead is given by

[tex]x_B(t) = u_B (t-2) + \frac{1}{2}a(t-2)^2[/tex]

where a (acceleration) is the same as traveller A, and

[tex]u_B = 20 m/s[/tex]

is B's initial velocity. We can verify that the formula is correct by substituting t=2, and we get [tex]x_B=0[/tex], which means that B starts its motion 2 seconds later.

Traveller B overtakes traveller A when the two positions are the same, so:

[tex]x_A = x_B\\\frac{1}{2}at^2 = u_B (t-2) + \frac{1}{2}a(t-2)^2\\\frac{1}{2}at^2 = u_B t - 2u_B +\frac{1}{2}at^2 +2a-2at\\u_Bt-2at = 2u_B-2a\\t=\frac{2u_B-2a}{u_B-2a}=\frac{2(20)-2(6)}{20-2(6)}=3.5 s[/tex]

A train moving with a velocity of 87.1 km/hour North, increases its speed with a uniform acceleration of 0.250 m/s2 North until it reaches a velocity of 160.0 km/hour North. What distance did the train travel while it was increasing its velocity, in units of meters?

Answers

Answer:

2780 meters

Explanation:

First, convert km/hr to m/s.

87.1 km/hr × (1000 m / km) × (1 hr / 3600 s) = 24.2 m/s

160.0 km/hr × (1000 m / km) × (1 hr / 3600 s) = 44.4 m/s

Given:

v₀ = 24.2 m/s

v = 44.4 m/s

a = 0.250 m/s²

Find: x

v² = v₀² + 2a (x − x₀)

(44.4 m/s)² = (24.2 m/s)² + 2(0.250 m/s²) (x − 0 m)

x = 2780 m

for a machine, the input force is 30 N, and the input distance is 2 m. Factoring in the effect of friction, what must be true about the work output?

A. It must be greater than 60 J
B. It equals 60 J.
C. It must be less than 60 J

Answers

Answer:

C. It must be less than 60 J

Explanation:

The work going into the machine is the product of the force and distance:

W = Fd

W = (30 N) (2 m)

W = 60 J

The work out of the machine is less than this due to the frictional losses.

Answer:

C. It must be less than 60 J

You are measuring the mass of different chemicals to get ready to conduct an experiment.
Which one would be a example of the correct International System of Measurement units to use for measuring mass?
A) ounces
B) grams
C) pounds
D) tablespoo

Answers

Answer:

B) grams

The SI unit for mass is grams.

Answer:

The answer is grams

Explanation:

a physics student drops a rock from a 55m cliff. How long does it take to hit the ground?

Answers

Answer: 9.9 seconds

Explanation:

that's just how long it takes

To hit the ground it takes approximately 3.19 seconds for the rock to hit the ground when dropped from a 55-meter cliff.

To calculate the time it takes for the rock to hit the ground when dropped from a certain height, we can use the kinematic equation for free fall:

ℎ = 1/2 gt2

Where:

h is the height of the cliff (55 m in this case).

g is the acceleration due to gravity ( 9.8 m/s2 approximately on the surface of the Earth).

t is the time we're trying to find.

Rearranging the equation to solve for t:

t =[tex]\sqrt{ 2h / g}[/tex]

​Plugging in the values:

t =[tex]\sqrt{ 2(55)m / 9.8m/s²}[/tex]

Calculating this:

t≈3.19s

So, it takes approximately 3.19 seconds for the rock to hit the ground when dropped from a 55-meter cliff.

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why does the bottom of a swimming pool always appear shallower than it actually is

Answers

Answer:

The refraction of light at the surface of water makes ponds and swimming pools appear shallower than they really are.

Explanation:

so its just the refraction of light at the surface

Answer:

The refraction of light at the surface of water makes ponds and swimming pools appear shallower than they really are. If you look at a stick that is poking into some water at an angle the stick looks bent because of refraction. The bottom of the stick seems to be nearer the surface of the water than it really is.

Explanation:

Pauline is going on a picnic and bringing some sandwiches. She wants to keep the sandwiches cold for as long as possible by putting them in a cooler.

Which of these would be the best material for Pauline's cooler to be made of?
A.
aluminum
B.
glass
C.
iron
D.
plastic

Answers

Answer:

The correct answer is plastic.

Explanation:

To keep sandwiches cold as long as possible by putting them in a cooler the best material is plastic. The plastic is a thermal insulator used for different uses. One of them is to maintain the temperature in closed containers. Metal and aluminum allow the temperature to flow more easily and glass is not a suitable material for building the cooler.

Have a nice day!

Current functional magnetic resonance imaging (fMRI) technology allows researchers to:
a. Predict the likelihood of developing Alzheimer's disease.
b. Diagnose most forms of mental illness.
c. Identify selected sentences that a person reads in a scanner.
d. Read a person's private thoughts at a distance.

Answers

Final answer:

fMRI technology allows researchers to analyze brain activity by tracking blood flow changes related to neural activity. It can identify selected sentences that a person reads in a scanner, but it cannot predict Alzheimer's, diagnose most mental illnesses, or read private thoughts at a distance.

Explanation:

Current functional magnetic resonance imaging (fMRI) technology enables researchers to observe and analyze changes in the brain's activity over time by tracking blood flow and oxygen levels. fMRI is utilized for a variety of medical and psychological assessments. It is highly effective at mapping brain function and determining the functioning of various regions involved in thought and motor control. Specifically, fMRI can measure changes in blood flow associated with neural activity and can thereby generate a detailed map showing the most active parts of the brain during a given task.

Answering the student's multiple-choice question, among the provided options, fMRI technology can c. Identify selected sentences that a person reads in a scanner. The ability to predict the development of Alzheimer's, diagnose most forms of mental illness, or read a person's private thoughts at a distance is not explicitly achievable with the current fMRI technology.

What is suspension?​

Answers

Answer:

A suspension is essentially a damped spring producing opposing force when being compressed. ... The force produced by the dampers depend on how fast the suspension is being compressed or elongated (contact speed), opposing the movement. When a wheel is lifted from the ground the suspension produces no force.

the amount of water returning to the earth through precipitation is blank the amount of water leaving the earth through evaporation

Answers

Answer:

The amount of water entering the earth through precipitation is equal to the amount of water leaving earth through transpiration.

Explanation:

Rates of precipitation and evaporation vary widely according to regions and seasons. But in a global scale the rates are equal. Thus the total amount of earth’s water maintains its constancy even though there is a continuous change in forms of water.

Evaporation and transpiration are the forms in which Water leaves the earth and it returns to the earth in various forms of precipitation like rain, snow, dew, fog etc. This water then reaches ocean and land. The water that reaches the land flows as surface run off into rivers and water bodies or seep into the ground replenishing the ground water table.

Final answer:

The water cycle is a balanced system that allows water to circulate between the earth's oceans, atmosphere, and land. Water leaves the earth through evaporation/sublimation, reenters the atmosphere, condenses, and falls back to the earth through precipitation. The amount of water returning to the earth matches the amount leaving it, maintaining equilibrium.

Explanation:

The water cycle, also known as the hydrological cycle, is a continuous process by which water circulates between the earth's oceans, atmosphere, and land. This cycle involves several key stages such as evaporation/sublimation, condensation/precipitation, and surface runoff/snowmelt.

Firstly, water from the land and oceans enters the atmosphere through evaporation or sublimation, where it condenses into clouds. This condensation ultimately falls back to the earth's surface as precipitation, such as rain or snow. Therefore, the amount of water returning to the earth through precipitation equals the amount of water leaving the earth through evaporation.

Once the water hits the earth, some of it may infiltrate into the soil or enter freshwater bodies. In most natural terrestrial environments, rain encounters vegetation before it reaches the soil surface. Some of this water evaporates immediately from the surfaces of plants in a process known as evapotranspiration.

After precipitation, water may travel over the surface as runoff into various bodies of water, eventually reentering the ocean, thus completing the cycle. In conclusion, the water cycle is a balanced system with the water leaving and coming back to the earth in similar quantities.

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if a particle moving in straight line such that its position varies with time as x=5(t-2) + 6(t-2)^2 ,then intial acceleration is​

Answers

Answer:

12

Explanation:

x = 5 (t − 2) + 6 (t − 2)²

x = 5t − 10 + 6 (t² − 4t + 4)

x = 5t − 10 + 6t² − 24t + 24

x = 6t² − 19t + 14

Velocity is the derivative of position with respect to time:

v = dx/dt

v = 12t − 19

Acceleration is the derivative of velocity with respect to time:

a = dv/dt

a = 12

The particle's acceleration is constant at 12 (use appropriate units).

determine the average acceleration for x(t)=19t^2+7t^3 for a time interval between 3 and 9 seconds

Answers

Answer:

290

Explanation:

Average acceleration is the change in velocity over change in time.

First, find the velocity by taking the derivative of position.

v(t) = dx/dt

v(t) = 38t + 21t²

At t = 3 and t = 9:

v(3) = 303

v(9) = 2043

So the average acceleration is:

a = Δv / Δt

a = (2043 − 303) / (9 − 3)

a = 290

Use appropriate units.

If a wave has a period of 0.077 sec, it has a frequency of
01/13 Hz.
3.6 Hz.
169 Hz.
13 Hz.

Answers

Answer: 13 Hz

Explanation:

The frequency [tex]f[/tex]  of a wave is expressed as:  

[tex]f=\frac{1}{T}[/tex]  

Where [tex]T[/tex] is the period of the wave

If we are told the period is 0.077 s, then its frequency is:

[tex]f=\frac{1}{0.077 s}[/tex]  

[tex]f=12.98 Hz \approx 13 Hz[/tex]  

A model rocket climbs 200 m in 4 seconds. If was moving 10 m/s to begin with what is its final velocity

Answers

Answer: 90 m/s

Explanation:

For this situation we will use the following equations:

[tex]y=V_{o}t+\frac{1}{2}at^{2}[/tex] (1)  

[tex]V=V_{o} + at[/tex] (2)  

Where:  

[tex]y=200 m[/tex] is the height of the model rocket at 4 s

[tex]V_{o}=10 m/s[/tex] is the initial velocity of the model rocket

[tex]V[/tex] is the velocity of the rocket at 4 s

[tex]t=4 s[/tex] is the time it takes to the model rocket to reach 200 m

[tex]a[/tex] is the constant acceleration due gravity and the rocket's thrust

Firstly, from equation (1) we have to find [tex]a[/tex]:

[tex]200 m=(10 m/s)(4 s)+\frac{1}{2}a(4 s)^{2}[/tex] (3)  

[tex]a=20 m/s^{2}[/tex] (4)  

Now we have to substitute this value of [tex]a[/tex] in (2):

[tex]V=10 m/s + (20 m/s^{2})(4 s)[/tex] (5)  

Finally:

[tex]V=90 m/s[/tex] This is the rocket's final velocity

A Porsche challenges a Honda to a 500 m race

Answers

A Porsche will always win no matter what

friction changes the energy of an object from kinetic energy to _____________ energy?
electric
stored
solar
heat
wind​

Answers

I think it’s solar but don’t quote me

Friction converts kinetic energy into heat energy as surfaces in contact oppose each other's motion, resulting in an increase in the system's thermal energy. The correct answer is: heat.

Friction changes the energy of an object from kinetic energy to heat energy. When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This conversion occurs because the force of friction acts against the motion, causing the surfaces to heat up due to the energy transfer.

Kinetic energy is the energy which a body possesses by virtue of being in motion. However, when there is kinetic friction, the irregularities on the two sliding surfaces interact to convert some of the mechanical energy into thermal energy, which is the energy stored in the motion of atoms and molecules that make up a material. The heat energy can raise the thermal energy of the system, resulting in an increase in temperature of the objects involved.

A particle starts at the origin and moves away from it in a straight line. After 1.6 seconds, it is 12.8 meters from the origin. It then reverses direction due to a force field with a like charge. After 3.8 seconds total, the particle is at −9.23 m. What is the average velocity of the particle? 3.8 m/s −5.8 m/s −2.4 m/s 13.8 m/s

Answers

Answer:

Average velocity of the particle is[tex]-2.4 m/s[/tex]

Explanation:

Average velocity is defined as the total velocity divided by the total time. It is given  by the equation[tex]v_av= \frac{displacement}{(total time taken)}[/tex]

In the given problem the particle starts from origin, travels [tex]12.8 m[/tex] and then reverses direction and travels till [tex]-9.23 m[/tex] within a total time of [tex]3.8 seconds.[/tex]

Displacement is defines as the shortest distance between initial and final point.  

Here displacement = [tex]- 9.23 m[/tex]

total time=[tex]3.8 s[/tex]

[tex]v_av=-9.23/3.8=-2.4 m/s[/tex]

if an object that stands 3 cm high is placed 12 CM in front of a plane mirror how far from the mirror is the image located explain your reasoning​

Answers

Answer:

the mirror is 12 cm away from the image

Explanation:

Answer:

distance of image = 12 cm

Explanation:

For plane mirror the perpendicular distance of object from the mirror must be same as that of perpendicular distance of image from the mirror

As we know here that object is 3 cm high

But the distance of object from mirror is 12 cm

So here the image will be virtual and it will form at 12 cm distance behind the mirror.

So here image will form behind the mirror at same distance that is the distance of object from the mirror.

The biggest piece of fudge ever created weighed 3010 lbs. The recommended serving of fudge is 28g. How many servings did this piece of fudge have?

Answers

For this case we must do a conversion from pounds to grams. By definition we have to:

1 pound equals 453,592 grams.

So:

[tex]3010 lb * \frac {453.592} {1} \frac {g} {lb} = 1,365,311.92\ grams[/tex]

If we divide we get the number of portions:

[tex]\frac {1,365,311.92} {28} = 48,761.14[/tex]

Thus, we have approximately 48,761 servings of sugar candy.

ANswer:

48,761 servings of sugar candy.

Final answer:

To find the number of servings, the weight of the biggest piece of fudge created (3010 lbs) was converted to grams, yielding 1,365,312.92 grams. Dividing this by the recommended serving size of 28 grams gives a total of 48,761.89 servings.

Explanation:

To calculate the number of servings in the biggest piece of fudge ever created that weighed 3010 lbs, we first need to convert the weight from pounds to grams, because the recommended serving size of fudge is given in grams (28g).

1 pound is equivalent to 453.592 grams. Therefore, we need to multiply the total weight in pounds by this conversion factor:

3010 lbs × 453.592g/lbs = 1,365,312.92 grams

Now that we have the weight of the fudge in grams, we can divide it by the recommended serving size:

1,365,312.92 grams ÷ 28 grams/serving = 48,761.89 servings

Therefore, the biggest piece of fudge ever created had 48,761.89 servings.

The net Forward force on the propeller of a 3.2 KG model airplane is 7.0 N. What is the acceleration of the airplanes

Answers

Answer:

[tex]2.1875 ms^{-2}[/tex]

Explanation:

Newton's second law: [tex]F=ma[/tex] Let's substitute and solve for whatever is left behind:[tex]7.0N= 3.2kg *a[tex]a =\frac {7.0}{3.2} \frac{N}{kg} = 2.1875 \frac{kg\frac{m}{s^2}}{kg}=2.1875 \frac{m}{s^2}[/tex]

The value of acceleration of the airplane is [tex]2.19 \;\rm m/s^{2}[/tex].

Given data:

The mass of propeller model is, m = 3.2 kg.

The net force on the propeller model is,  F = 7.0 N.

Apply the Newton's second law, which says that the applied force on an object is equal to the product of mass of object and acceleration of object, caused due to applied force.

Then the expression is,

[tex]F = m \times a[/tex]

here, a is acceleration.

Solving as,

[tex]7 = 3.2 \times a\\a=2.19 \;\rm m/s^{2}[/tex]

Thus, the required value of acceleration of the propeller model is [tex]2.19 \;\rm m/s^{2}[/tex].

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Measuring spoons are used when measuring
less than how much?​

Answers

Measuring spoons are used when measuring less than 1/4 cup

We can see here that measuring spoons are used when measuring less than 1/4.

What is Measuring spoon?

Measuring spoons are used when measuring less than one tablespoon or teaspoon of an ingredient. These spoons are designed to provide accurate measurements for small quantities of dry or liquid ingredients used in cooking and baking. Measuring spoons typically come in sets, with the most common sizes being 1 tablespoon (tbsp), 1 teaspoon (tsp), 1/2 teaspoon, 1/4 teaspoon, and sometimes 1/8 teaspoon.

When recipes call for precise measurements of ingredients, especially in baking, measuring spoons are essential to ensure the right balance of flavors and the desired outcome of the dish. They are particularly useful when dealing with potent or costly ingredients, as small variations in quantities can significantly impact the final result.

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A telephone wire has a current 20A flowing through it . How long does it take for a charge of 15 C to pass through the wire?

Answers

Charge = Current/time
Q = It
t = Q/I = 15/20 = 0.75 s

It will take 0.75 s for a charge of 15 C to flow through the wire.

The quantity of electricity flowing through a wire is related to current and time according to the following equation:

Q = It

Where

Q is the quantity of electricity

I is the current

t is the time

With the above formula, we can calculate the time taken for the 15 C to flow through the wire. This can be obtained as follow:

Quantity of electricity (Q) = 15 C

Current (I) = 20 A

Time (t) =?

Q = It

15 = 20 × t

Divide both side by 20

[tex]t = \frac{15}{20}\\\\[/tex]

t = 0.75 s

Therefore, it will take 0.75 s for a charge of 15 C to flow through the wire.  

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- When a person does work on an object, the object gains energy. As a bicycle rider rides from the bottom to the top of a hill, the
energy from the work can become which combination of types of energy.
The riders work becomes kinetic energy only
The riders work becomes a combination of kinetic energy and heat
The riders work becomes a combination of gravitational potential and heat
The riders work becomes a combination of gravitational potential,
energy and heat

Answers

Answer:

The riders work becomes a combination of gravitational potential,

kinetic energy and heat.

Explanation:

His work becomes gravitational potential as the raider gains height. This can be seen from the equation of gravitational potential:

[tex]U = m*g*h[/tex],

where m is the mass, g is the gravity and h is the height. Since the rider's final position is higher than his starting position the change of gravitational position is greater than 0.

His work becomes kinetic energy as he gains speed: assuming he was at rest at starting position he must increase his speed to move to the top of the hill, and because kinetic energy depends on speed, part of his work becomes kinetic energy.

Finally, part of his work turns into heat due to all the losses because of the friction in the bicycle gears.

Answer:

4

Explanation:

Other Questions
Diana is on an outdoor wildlife photography shoot in the African jungle. Which safe practice should she follow?A. clean the camera with the materials in the camera cleaning kitB. always keep batteries in the cameraC. avoid keeping the camera in its bag when in a damp placeD. keep the camera far away from her body What is the area under the curve y=xx^2and above the x-axis? A committee organizing a marathon has 14 jugs of water and 20 jugs of sports drink. The committee would like to set up a number of refreshment stations along the marathon course, with the same combination of jugs of water and jugs of sports drink at each station, with no beverages left over. What is the greatest number of refreshment stations that can be set up? Agrobacterium infects plants and causes them to form tumors. You are asked to determine how long a plant must be exposed to these bacteria to become infected. Which of the following experiments will provide the best data to address that question? (A) Measure the number of tumors formed on a plant when exposed to various concentrations of Agrobacterium. (B) Measure the number of tumors formed on plants, which are exposed to Agrobacterium for different lengths of time. (C) Determine the survival rate of Agrobacterium when exposed to different concentrations of an antibiotic. (D) Measure the concentration of Agrobacterium in different soil environments where the plants grow. You tell your friend Betty about a dream in which you were a giant cupcake. Betty tells you the dream was meaningless and was only caused by random neural firings during sleep. Based on this you know that Betty most likely believes in the ________ theory of dreaming. The incident that started the Sepoy Rebellion was related to a rumor about the the working conditions at trading posts. the working conditions in textile factories. the materials used to make rifle cartridges. the materials used to sew soldiers uniforms PLEASE HELP I NEED AN ANSWER ASAPCHAPTER IITHE SHE-WOLF, an excerptFrom White FangBy Jack LondonBreakfast eaten and the slim camp-outfit lashed to the sled, the men turned their backs on the cheery fire and launched out into the darkness. At once began to rise the cries that were fiercely sadcries that called through the darkness and cold to one another and answered back. Conversation ceased. Daylight came at nine o'clock. At midday the sky to the south warmed to rose-colour, and marked where the bulge of the earth intervened between the meridian sun and the northern world. But the rose-colour swiftly faded. The grey light of day that remained lasted until three o'clock, when it, too, faded, and the pall of the Arctic night descended upon the lone and silent land.As darkness came on, the hunting-cries to right and left and rear drew closerso close that more than once they sent surges of fear through the toiling dogs, throwing them into short-lived panics.At the conclusion of one such panic, when he and Henry had got the dogs back in the traces, Bill said:"I wisht they'd strike game somewheres, an' go away an' leave us alone.""They do get on the nerves horrible," Henry sympathized.They spoke no more until camp was made.Read this line from the story:...more than once they sent surges of fear through the toiling dogs, ...How does this line add an element of tension to the story? It allows readers to feel more concern for the dogs than the humans. It increases the fear and tension for readers and characters. It makes events more predictable and expected than before. It suggests the dogs are the main focus of the story. A) Is it possible to say that a wave pulse( waves packet) has one particular wavelength? B) How are wave packets built (mathematically speaking)? As part of a psychological assessment, a mental status exam is used to find out how a person thinks, feels, and behaves. However, what is the primary purpose of a mental status exam?a. to determine what type of treatment should be usedb. to determine if a psychological disorder might be presentc. to determine whether the individual also has a medical conditiond. to determine which medication would be most effective An individual is now 50 years old, that he plans to retire in 10 years, and that he expects to live for 25 years after he retires, that is, until he is 85. He wants a fixed annual retirement income of $65,156. His retirement income will begin the day he retires, 10 years from today, and he will then get 24 additional annual payments. He currently has $100,000 saved up; and he expects to earn a return on his savings of 8 percent per year, annual compounding. To the nearest dollar, how much must he save during each of the next 10 years (with deposits being made at the end of each year) to meet his retirement goal? 1. Convert the number to scientific notation.265, 984, 325, 100 Deborah and Carlos need to decide which one of them will take time off from work to complete the rather urgent task of pruning their trees. Deborah is pretty good with a pole saw; she can prune the trees in 30 minutes. Carlos is somewhat slow; it takes him 5 hours to prune the trees. Deborah earns $130 per hour as a psychiatrist, while Carlos earns $25 per hour as a cobbler. Keeping in mind that either Deborah or Carlos must take time off from work to prune the trees, who has the lowest opportunity cost of completing the task? The factor 0.01 corresponds to which prefix? A) milli B) deci C) deka D) centi What does it mean when we say that each side of the seafloor away from the mid ocean ridge is a mirror image of the other side? 1. What number divided by 4 1/5 is of 100? John travels and writes about every place he visits. He would like to share his experiences with as many people as he can. Which mode ofInternet communication can John use most effectively to show and share his written work?Achat roomB.blogC. weekly emailsD.wiki how many significant figures are in each of the following measurements?A) 0.4004 mLb) 6000gc) 1.000 30 kmd) 400. mm A rectangular tank is filled with water to a depth of 1.5 m. Its longest side measures 2.5 m. What is the moment of the force about the base on this side? Is it. a) 5.5 kN.m b) 9.2 kN.m c) 13.8 kN.m d) 27.6 kN.m e) 41.4 kN.m 1. While driving in urban situations,(a) keep your vehicle close to others.(b) cover the brake pedal.(c) be ready to reduce speed and change venposition. The National Security Act of 1947 reflected