two vectors have a magnitude of 2.5km and 6.5 km . Predict the maximum and minimum magnitudes of their resultant vector

Answers

Answer 1

The maximum magnitude of their resultant vector is when the two vectors are parallel and in the same direction, so they lie on the same axis. In this case, the magnitude of their resultant vector is simply the sum of the two magnitudes:

[tex]R=2.5 km+6.5 km=9.0 km[/tex]


The minimum magnitude of their resultant vector is when the two vectors are parallel but in opposite direction. In this case, the magnitude of their resultant vectors is just the difference between the two magnitudes:

[tex]R=6.5 km-2.5 km=4.0 km[/tex]


Related Questions

can someone answer this for meee?? w

Answers

We know that either team is winning which means that the cumulative forces (sum of each girl force) on both teams are equal.

This means,

[tex]250 + 250 + 250 + 250 = 260 + 260 + 260 + x[/tex]

being x the force of the fourth girl on the east team.

Solving to x, you get

[tex]x = (250 + 250 + 250 + 250) - (260+260+260)

x = 1000 - 780

x = 220[/tex]

The fourth girl on the east is pulling with a force of 220N.

Answer:

The force applied by fourth girl in east team is 220 N.

Explanation.

If neither side is wining, it means that force applied on both sides are equal.

Total force by team west = 250 N * 4 = 1000 N

Total force of 3 girls on east side = 260 N * 3 = 780 N

As we know the east team apply total force of 1000 N.

Force applied by the fourth girl in east team = 1000 N - 780 N = 220 N




When you are on a swing, and at the lowest point of your motion, is your apparent weight greater than, less than, or equal to your true weight? Explain

Answers

In a circular motion there must be a centripetal force directed towards the center. At the bottom of the swing trajectory we can pretend you are in uniform circular motion, so the net force points up toward the center of the circle. Therefore, the swing must exert a larger upward force on you than the earth does in the downward direction. So your apparent weight is greater than your true weight.

When you are on a swing, and at the lowest point of your motion, is your apparent weight greater than to your true weight.

What is apparent weight?

In general, an object's apparent weight is equal to its mass multiplied by the vector difference between gravitational acceleration and the object's acceleration.

According to this definition, apparent weight is a vector that can act in any direction, not just vertically.

The weight of an object is how gravity pulls on it, but apparent weight is a measure of downward force. Weight, on the other hand, is a measure of the force exerted by gravity.

We can pretend you're in a uniform circular motion at the bottom of the swing trajectory, so the net force points toward the center of the circle.

As a result, the swing must exert a greater force on you than the earth does in the opposite direction. As a result, your apparent weight is greater than your true weight.

Thus, the true weight will be less than the apparent weight.

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Jamal wanted only to test the effect of the free fall and so he put his system in a vacuum to prevent air resistance. In free fall, will the crumpled or flat paper reach the ground first? The crumpled paper will reach the ground first. The flat paper will reach the ground first. Both papers will reach the ground at the same time. It is hard to tell which would reach the ground first without experimentation.

Answers

When a paper is crumpled and then released the air drag on the paper is less while when we put the flat paper and released it from rest we can see that there is large surface area due to which it will have more air drag and hence it will reach later

So we can say that air friction or air drag depends on the surface area of object

More will be the surface area more is the drag force of air and hence less is the effective acceleration due to gravity

So when we drop the two objects in vacuum it will not have any friction force

and hence they both will have same gravity downwards

So in that case the two objects will reach the ground in same time

so its answer will be

Both papers will reach the ground at the same time.

Answer:

the answer is they both hit at the same time

Explanation:

Equation for 20 m/s and 26 m/s for final and initial velocity

Answers

26 m/s - 20 m/s = 6 m/s

a student attaches a rope to a 20.0 kg box of books. he pulls with force of 90.0 n at a angle of 30.0° with the horizontal. the coefficient of kinetic friction between the box and the sidewalk is 0.500. find the acceleration of the box

Answers

Answer:

acceleration = 0.12 m/s^2  

Explanation:

Using Second Law of Motion,

F = m*a

F is net force (N) m is mass of the box (kg) a is acceleration of the box (m/s^2)

μ = f/Fn

μ is coefficient of friction f is the friction force (N) Fn is the nomal force acting on the object (N)  

Fn = m*g – 90*sin(30)

Fn = (20)*(9.81) – 90*sin(30)

Fn = 151.2 N

f = μ*Fn

f = (0.5)*(151.2)

f = 75.6 N

F = 90cos(30) – 75.6

F = 2.34 N

a = F/m

a = 2.34/20  

a = 0.12 m/s^2  

A blow dart is fired horizontally from a height of 1.2 meters. If the dart hits a target that is .6m high and 12m away, what is the initial velocity of the dart?

Answers

Blow dart is projected from a height of 1.2 m

Dart will hit the target at height 0.6 m

so the vertical displacement of the dart will be 1.2 - 0.6 = 0.6 m

here we can say that in vertical direction kinematics is applied

[tex]y = v_i* t + \frac{1}{2}at^2[/tex]

[tex]0.6 = 0 + \frac{1}{2}*9.8*t^2[/tex]

[tex]t = 0.35 s[/tex]

now we can say that dart will hit the target after t = 0.35 s

so in the same time it will cover the distance 12 m in horizontal direction

so here in order to find the initial speed we can say

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

[tex]12 = v* 0.35[/tex]

[tex]v = \frac{12}{0.35}[/tex]

[tex]v = 34.3 m/s[/tex]

so dart is projected with speed 34.3 m/s in horizontal direction

Final answer:

The blow dart is launched with an initial velocity of around 34.3 m/s. This is determined by calculating the time of flight using the height difference and gravitational acceleration, then determining the velocity using that flight time and the horizontal distance to the target.

Explanation:

The subject of this question is physics, as it requires an understanding of kinematic equations for projectile motion to solve. First, let's figure out how long the dart is in the air. We're going to use the formula h = 0.5 * g * t^2, where h is the height difference (1.2m - 0.6m = 0.6m), and g is the acceleration due to gravity (approximately 9.81 m/s^2). Solving for t, we have sqrt((2*h) / g) = sqrt((2*0.6) / 9.81) = approximately 0.35 seconds.

Now that we know how long the dart was in the air, we can find out its initial horizontal velocity. Since horizontal motion is the constant velocity in the absence of air resistance, the initial velocity is simply the total horizontal distance divided by the time. Therefore, the initial velocity, v, is d / t = 12m / 0.35s = approximately 34.3 m/s. So the dart was launched with an initial velocity of roughly 34.3 m/s.

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Mike walks 200 km in 6 hours.he then walks another 100km in 4 hours .what is his average speed?

Answers

Average speed is defined as the ratio of total distance covered in total given time

[tex]speed = \frac{distance}{time}[/tex]

here we know that total distance that man moved is

[tex]d_1 = 200 km[/tex]

[tex]d_2 = 100 km[/tex]

so total distance is

[tex]d = d_1 + d_2[/tex]

[tex]d = 200 km + 100 km[/tex]

[tex]d = 300 km[/tex]

now here total time of the motion is

[tex]t_1 = 6 hours[/tex]

[tex]t_2 = 4 hours[/tex]

total time will be given as

[tex]t = t_1 + t_2 [/tex]

[tex]t = 6 + 4 = 10 hours[/tex]

now by above formula

[tex]v_{avg} = \frac{300}{10}[/tex]

[tex]v_{avg} = 30 km/h[/tex]

so his average speed is 30 km/h

When you enter a toll road, your ticket is stamped 1:00 p.m. When you leave, after traveling 55 miles, your ticket is stamped 2:00 p.m. What was your average speed in miles per hour?

Answers

27.5 because of you divide the 55miles with the time you get your velocity which is the speed.

Answer:

55 miles per hour

Explanation:

Given

Distance d = 55 miles

t_o =1.00 pm

t_f = 2.00 pm

Solution

Duration of the trip

[tex]\Delta t = t_f - t_o\\\\\Delta t = 2.00 pm - 1.00 pm\\\\\Delta t = 1 hour[/tex]

Average velocity

[tex]v = \frac{d}{\Delta t} \\\\v = \frac{55}{1} \\\\v = 55 mph[/tex]

Which of the following is the correct definition of mechanical energy?
A.
energy stored in chemical bonds of molecules

B.
energy of an object due to the random motion of its atoms and molecules

C.
energy an object has because of its motion or position

D.
energy produced from the splitting of atoms

Answers

energy an object has because of its motion or position . it's chemical engineering and random motion of its atoms and molecules

Snow has been lying on a mountainside. Suddenly, it starts to move down the mountain. Which types of friction are observed in this avalanche? Where does each type occur?

Answers

Snow starts to move down the mountain

The energy which is due to position is potential energy. So when the snow is lying on the mountain. It possess potential energy but when suddenly, it starts to move down the mountain, the potential energy is converted into the kinetic energy. Yet some force is exerting on the snow to stop the smooth flow of snow through mountains.

This example of frictional force may be due to presence of rough surface or stones. Generally, there are four types of friction as static, rolling, sliding and fluid friction. Though in this case when snow is lying it possess static friction, when flows then it possesses sliding and fluid friction both.

name 15 measurement instrument use in physic and their uses

Answers

1. Meter Rule  

Meter rule is used to measure the small length or distance between any two points.

2. Measuring Tape

It is also use to measure length and distance in meters and centimeters.

3. Vernier calipers.

It can be use to measure small diameter or radius of objects up-to 10th part of a millimeter.

4. Micrometer screw gauge.

It is also use to measure diameter or radius unto 100th part of a millimeter.

5.Beam balance

It is use to measure mass upto 10th part of a gram.

6. Physical balance

it is use to measure mass upto 100th part of a gram.

7.Electronic balance

It is use to measure mass upto 100th part of a gram.

8. Stop watch.

It is use to measure time upto 10th and 100th part of a second.

9.Measuring cylinder

It is use to measure volume of a small object.

10. Hydrometer

It is use to measure density of liquids.

11. Barometer.

It is use to measure the atmospheric pressure.

12. Thermometer

It is use to measure temperature.

13. Ammeter

It is used to measure amount of electric current in circuit.

14.Photometer.

It is use to measure intensity of light.

15. Protector,.

It can be use to measure angle.

16. Lactometer.

It can be use to measure specific gravity of milk.

James took two pea plants, placing one in a dark closet and the other on a sunny windowsill. Both are located in air-conditioned rooms. He then measured the growth of the pea plants after a week. Which of the following best describes the purpose of this experiment?

To determine the effect of air conditioning on plant growth

To determine the effect of lack of water on plant growth

To determine the effect of sunlight on plant growth

To determine the effect of enclosed spaces on plant growth


Answers

I should assume the answer would be C, to determine the affects of sunlight on plant growth. In the above paragraph, everything else in the experiment was the same, and the only variable was the amount of sunlight reaching each plant. Hope this helped!

This procedure will demonstrate the effect of sunlight on plant growth.  If that wasn't the purpose that James had in mind, then he picked the wrong experiment.

Which equation represents mass-energy equivalence? E = m2c E = mc2 E = (mc)2 E = mc

Answers

Einstein's energy mass equivalence relation say that if the whole given mass is converted to energy then it would be

[tex]E = mc^2[/tex]

where

m = mass in kg

c = speed of light in m/s

this is the origination of quantum physics and by this formula we can relate the dual nature of light and particle

So correct relation above will be

[tex]E = mc^2[/tex]

the answer is B i just took it

whats the velocity if a seagull drops a shell from rest at a height of 11m, how fast is the shell moving when it hits the rocks

Answers

Seagull is at height 11 m

it drops a shell from rest

so here we know that

acceleration of shell is due to free fall = -9.81 m/s^2

displacement = - 11 m

initial speed = 0

now we will use kinematics equation here in order to find the final speed

[tex]v_f^2 = vi^2 + 2as[/tex]

now plug in all values in it

[tex]v_f^2 = 0 + 2*(-9.81)*(-11)[/tex]

[tex]v_f^2 = 215.82[/tex]

[tex]v_f = 14.7 m/s[/tex]

so here the speed by which shell will strike with the rocks is 14.7 m/s

Final answer:

The velocity of a shell dropped from rest at a height of 11m when it hits the ground is approximately 14.69 m/s. This is calculated using the kinematic equation for uniformly accelerated motion, considering gravity as the acceleration.

Explanation:

The question refers to the velocity of a shell dropped by a seagull from a specific height until it hits the ground. To solve this, we can use the equations of motion under gravity. Specifically, we can use the following equation, which comes from the kinematic equations for uniformly accelerated motion:

v² = u² + 2as

v represents the final velocity

u is the initial velocity (which is 0 in this case, since the shell is dropped from rest)

a is the acceleration due to gravity (approximately 9.81 m/s² on Earth)

s is the distance the object has fallen, in this case, 11 meters

Plugging the numbers into the equation gives us:

v² = 0⁻ + 2*9.81*11

v² = 215.82

v = √(215.82)

v = 14.69 m/s (to two decimal places)

Therefore, the velocity of the shell when it hits the rocks will be approximately 14.69 m/s.

why is a person who lives in the city able to sleep through the sounds of traffic but awaken to the soft sound of bird singing

Answers

They grew up  to that sound. They love the sound of that same traffic sound.

They are used to hearing city stuff. Not necessarily birds so they will wake up to a different sound

A migrating robin flies due north with a speed of 12 m/s relative to the air. The air moves due east with a speed of 6.7 m/s relative to the ground. Part A What is the robin's speed relative to the ground?

Answers

Here it is given that speed of migrating Robin is 12 m/s relative to air

so we can say that

[tex]\vec v_{ra} = 12 m/s[/tex] North

so it will be

Let North direction is along Y axis and East direction is along X axis

[tex]\vec v_{ra} = 12\hat j[/tex]

also it is given that speed of air is 6.7 m/s relative to ground

[tex]\vec v_a = 6.7 \hat i[/tex]

now as we know by the concept of relative motion

[tex]\vec v_{ab} = \vec v_a - \vec v_b[/tex]

[tex]\vec v_{ra} = \vec v_r  - \vec v_a[/tex]

now by rearranging the terms

[tex]\vec v_r = \vec v_{ra} + \vec v_a[/tex]

[tex]\vec v_r = 12 \hat j + 6.7 \hat i[/tex]

now we need to find the speed of Robin which means we need to find the magnitude of its velocity which we found above

So here we will say

[tex]v_r = \sqrt{12^2 + 6.7^2}[/tex]

[tex]v_r = 13.7 m/s[/tex]

so the net speed of Robin with respect to ground will be 13.7 m/s

Which Richter magnitude range can be recorded by instruments but isn't felt? A. less than 2.9 B. 3.0 – 4.9 C. 5.0 – 5.9 D. 6.0 and higher

Answers

A. anything less than 3.0 magnitude on a richters scale usually can't be felt by humans but instruments can pick it up.

Answer:

A. Less than 2.9

Explanation:

Richter scale is a measure of the intensity of the earthquakes designed and developed by Charles Richter in 1935. Its value ranges from 1.0 to 9.0 and greater. The earthquakes having a Richter magnitude of less than 2.9 are minor earthquakes which are slightly felt by a few humans but can be recorded on a seismograph. Earthquakes with magnitude above 2.9 can easily be felt by humans.

A dart leaves a toy dart gun with initial velocity of 7.76 m/s, regardless of the angle it is fired. What is the maximum horizontal distance that the dart can travel? Assume that the dart gun is fired at ground level.

A. 3.88m

B. More Information is needed

C. 6.14m

D. 12.28m

Answers

Answer:

C. 6.14 m

Explanation:

The maximum horizontal distance travelled by a projectile is given by:

[tex]d=\frac{v^2}{g}sin (2\theta)[/tex]

where

v is the initial velocity

[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity

[tex]\theta[/tex] is the angle of launch

From the equation, we see that the maximum range is achieved when the projectile is fired at [tex]\theta=45^{\circ}[/tex].

The dart in the problem has an initial velocity of

v = 7.76 m/s

Substituting into the formula, we find the maximum horizontal distance:

[tex]d=\frac{7.76^2}{9.8}sin (2\cdot 45^{\circ}) = 6.14 m[/tex]

A basketball is thrown straight up into the air and takes 2.5 seconds to reach the top of it's arc. The acceleration due to gravity is 9.8m/s ^2 downwards. What was the initial velocity of the ball?

Answers

Let say the basket ball is tossed upwards with initial speed "v"

now when it moves up in the air its speed will decrease due to acceleration of gravity in opposite direction

So here we can say that its final speed at the top position will be zero

here it will take t = 2.5 s to reach the top

now we can use equation of kinematics

[tex]v_f = v_i + at[/tex]

[tex]0 = v + (-9.8)*2.5[/tex]

now we have

[tex]v = 9.8 * 2.5[/tex]

[tex]v = 24.5 m/s[/tex]

so the ball is tossed up initially with speed 24.5 m/s





How is the enthalpy of vaporization related to intermolecular forces during a phase change?

A)
The temperature increase converts bonding forces into intermolecular forces during vaporization.
Eliminate

B)
The intermolecular energy of vaporization represents a greater change increasing the bonding forces.


C)
The kinetic energy of the ethanol molecules increases strength of the intermolecular forces increases.


D)
The liquid state is stabilized by the molecule's intermolecular forces resulting in a high enthalpy of vaporization.


Answers

Lol I just did this on USA Test Prep. The answer is D.

Option D - The liquid state is stabilized by the molecule's intermolecular forces resulting in a high enthalpy of vaporization → is the correct option.

We have enthalpy of vaporization.

We have to determine how is the enthalpy of vaporization related to intermolecular forces during a phase change.

What are intermolecular forces?

Intramolecular forces are the forces that hold atoms together within a molecule.

According to the question -

The molecules inside liquid are held together by the intermolecular forces. A specific amount of heat energy is required to overcome these intermolecular forces in order to change the state from liquid to gas. This energy is called heat of vaporization. Hence, the intermolecular forces help liquid to stay in a steady state which will ultimately require more energy to separate the molecules.

Therefore, Option D is the correct Alternative.

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what is the average atomic mass of an element?

Answers

The average atomic mass of an element is the mass found on the periodic table under the element symbol.  It is called the average atomic mass because it is actually a calculated sum of the masses of the element's isotopes (same element with different number of neutrons), each multiplied by their natural abundances.

The average atomic mess of an element is the sum of masses of its isotopes, each multiplied by its natural abundance .

results of attitude research with twins has revealed

Answers

Answer and explanation;

According to twin studies attitudes may be genetically based, research has supported that Identical twins are more likely to share similar attitudes. Attitudes change as the result of behavior and not the other way around

Genetic factors may influence general dispositions and condition-ability that may influence formation of more specific attitudes. Controlled twin studies in US and Sweden reveal that identical twins share more similar attitudes than fraternal twins.


The items listed below are found in a science classroom.
1. Heart made of plastic with many of its parts labeled
2. Clay formed to look like Earth and other planets
3. A giant plastic plant cell with removable cell parts

4. Fill in the blank. These items are all examples of
Models
Experiments
Variables
Controls


Answers

I think these are models.

These are all Examples of Models

The distance traveled​ by an object divided by the time it takes to travel that distance is called...

A)Average velocity
B)Average speed
C)Average acceleration
D)Negative acceleration

Answers

The correct answer is average speed.


Since we are referring to distance expressed over time taken we are referring to average speed.



If it is displacement expressed over time taken, then we get the average velocity.


Also the velocity expressed over time will give us average acceleration.




Note that distance is a scalar quantity so it goes with another scalar quantity which is speed.


The displacement which is also a vector quantity will go with velocity which is also a vector quantity.





Answer:

The correct option is B. Which is average speed.

Explanation:According to the question, the distance traveled by the object divided by time is the distance traveled with respect to time which is the speed of the object.Since the initial and final rate is not mentioned. It is talking about the whole distance and time taken to travel that distance.So the speed will be average speed.It is not velocity because of average velocity changes in the displacement of the object with time.

Suppose a skydiver (mass = 75kg) is falling toward the earth. When the skydiver is 100m above the earth, he is moving at 60m/s. At this point, calculate the skydiver’s:

• Gravitational Potential Energy
• Kinetic Energy
• Total Mechanical Energy (kinetic + potential)

Answers

gravitational potential energy is given as

[tex]PE = mgH[/tex]

here given that

m = 75 kg

g = 9.8

H = 100 m

now plug in all value above

[tex]PE = 75 * 9.8* 100[/tex]

[tex]PE = 73500 J[/tex]

now for kinetic energy we can use

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

here we have

m = 75 kg

v = 60 m/s

now we have

[tex]K = \frac{1}{2}*75*60^2[/tex]

[tex]K = 135000 J[/tex]

now for mechanical energy we have

[tex]ME = KE + PE[/tex]

so now we will add above to energy to find mechanical energy

[tex]ME = 73500 + 135000 [/tex]

[tex]ME = 208500 J[/tex]


The density of the gold is 19.3g/cm3.
The density of the iron pyrite is 5.0 g/cm3.

If a night of iron pyrite and nugget of gold each have a mass of 50g ... what you can conclude about the volumen of each nugget ?
I don’t get it

Answers

If both nuggets have the same mass and different densities then it can be concluded that the volume with the highest density is smaller.

For, so to speak, density is a relation of how much mass is there in a given volume. So the more the mass and the smaller the volume, the greater the density.

To verify this, let us calculate the volumes of iron pyrite and gold pyrite.

For the iron pyrite nugget:

density = mass / volume

volume = mass / density

volume = 50/5

volume = 10cm3


For the gold nugget:

volume = mass / density

volume = 50 / 19.3

volume = 2.59cm3


Therefore it is found that the nugget with the highest density (gold) is the one with the lowest volume.

A delivery man pushes the button to ring the doorbell. Which of the following forms of energy is not involved in this process

Answers

Of the following given choices;

ElectricalSoundMechanicalGravitation

The answer is; gravitational.

When the delivery man pushes the doorbell, he is utilizing mechanical energy. This energy is later converted to electrical energy that travels through a circuit to the inside of the house. An actuator then converts the electrical energy to sound that is heard inside the house.


a car accelerates from rest at 5 m/sec2 for 12 seconds what is the final velocity

Answers

 Vi =0  ( as car starts from rest )

Acceleration= a = 5m/s²

t =12sec

Vf =Vi + at

Vf= 0 + (5m/s²) (12s)

Vf=60 m/s

which of the following best describes the way that scientists make observations

Answers

i don’t see any answer choice but the best way is asking questions about the natural phenomenon, making hypothesis, and predicting the consequences in the hypothesis.

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Based on the weather station systems shown below, what is the most likely location of the low pressure system?

Answers

D just east of station b
D will be your answer because if I am right point a is the pressure and tge line is heading to the east side of point b. I hope this helps
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