When a falling meteor is at a distance above the Earth's surface of 2.98 times the Earth's radius, what is its free-fall acceleration caused by the gravitational force exerted on it

Answers

Answer 1

Answer:

0.63 m/s²

Explanation:

Given that

Distance of meteor from earth's surface, r = 2.98R,

where R = radius of the Earth.

The force of the meteor due to the Earth is usually given by

F = GMM(a)/(R + r)² where

F = force exerted

G = gravitational constant

M = Mass of the earth

M(a) = mass of meteor

Remember that F = Ma, so applying that here, we have

acceleration of meteor = GM/(R + r)²

where r = 2.98R so that

acceleration of meteor = GM/(R + 2.98R)²

acceleration of meteor = GM/(3.98R)²

acceleration of meteor = GM / 15.84R²

It should be noted that GM/R² = 10, so

acceleration of meteor = 10/15.84

acceleration of meteor = 0.63 m/s²

Therefore as calculated, the acceleration of the meteor is 0.63 m/s²


Related Questions

Four students were loading boxes of food collected during a food drive. The force that each student exerted while lifting and the distance each box was lifted are listed in the table.

A 3-column table with 4 rows. The first column labeled student has entries Chet, Mika, Sara, Bill. The second column labeled Force (Newtons) has entries 50, 40, 30, 60. The third column labeled Distance (meters) has entries 1.0, 2.0, 1.5, 0.5.

Which lists the students in order from the greatest amount of work done to the least? (Work: W = Fd)

Answers

Answer:

The correct answer is B. Mika, Chet, Sara, Bill

Explanation:

Look at the picture

hope this helps :)

The  list, that the students in order from the greatest amount of work done to the least, is: Mika, Chet, Sara, Bill.

What is work?

We can state that Work is the product of the component of the force acting in the displacement's direction and its magnitude.

The joule (J), a unit of work used in the International System of Units (SI), is defined as the amount of work required to move an item one meter in the direction of a force of one newton.

Work done by Mika = 50 × 1.0 Joule = 50 Joule

Work done by Chet  = 40 × 2.0 Joule = 80 Joule

Work done by Sara  = 30 × 1.5 Joule = 45 Joule

Work done by Bill = 60 × 0.5 Joule = 30 Joule  

So, The  list, that the students in order from the greatest amount of work done to the least, is: Mika, Chet, Sara, Bill.

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arrangement in which a light ball hangs from a thread and oscillates freely​

Answers

Answer:

pendulum

hope it helps! please mark me brainliest..

Thank you! have a good day ahead

The work done on the machine is called

Answers

Answer:

Hey Queen Messy here!

Work input

Explanation:

The work you do on a machine is called the work input. The force you apply to the machine to do the work is the input force. The work done by the machine on another object is called the work output. The force the machine applies to do this work is the output force.

please hellp!!!!!!!!!!!!!!!!!!!!?

Answers

Answer:

the second to last by the north pole

Explanation:

second to last
sorry if that’s wrong
but have a good day!!:)

Which of these is another name for Newton's
first law?
A. the law of action-reaction
B. the law of force and acceleration
C. the law of gravity
D. the law of inertia

Answers

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
D. The law of inertia

a projectile is shot upward from the surface of the earth with an initial velocity of 384 ft/s. What is its velocity after 5 seconds

Answers

Answer:

335 ft/s

Explanation:

In this question, we have a very important factor missing. The equation of the projectile. So, in simplifying the question I'm going to assume an equation which you can correct thereafter

s(t) = -4.9t² + v(0)t + s0

From the question, we're told that v(0) = 384 ft/s, so if we apply that, we have

s(t) = -4.9t² + 384t + s0, where s0 = 0

On differentiating the equation, we have

s(t) = v(t) = -4.9(2t) + 384(1)

v(t) = -9.8t + 384

Now, at time t = 5 seconds, the velocity v =

v(t) = -9.8(5) + 384

v(t) = -49 + 384

v(t) = 335 ft/s

Therefore, the velocity of the projectile after 5 seconds is 335 ft/s. Please leave a like if it helped you.

Approximating Earth's atmosphere as a layer of gas 6.8 km thick, with uniform density 1.3 kg/m3 , calculate the total mass of the atmosphere.

Answers

Answer:

The total mass of the atmosphere is  4.508 x 10 kg

Explanation:

Given;

thickness of gas layer, h = 6.8 km

density of Earth's atmosphere, ρ = 1.3 kg/m³

the surface area of Earth is given as 5.10 x 10⁸ km²

Volume of the atmosphere is calculated as;

V = Ah

where;

A is the surface area of Earth

h is the thickness of gas layer

V = (5.10 x 10⁸ km²)(6.8 km)

V = 3.468 x 10⁹ km³

The total mass of the atmosphere is calculated as;

mass = density x volume

m = ρV

m = (1.3 kg/m³)(3.468 x 10⁹ km³)

m = 4.508 x 10 kg

Therefore, the total mass of the atmosphere is 4.508 x 10⁹ kg.

Is gravity less or more in the moon?

Answers

Answer:

The gravity is less in the moon as compared to Earth.

Answer:

The Moon's surface gravity is about 1/6th as powerful or about 1.6 meters per second per second. The Moon's surface gravity is weaker because it is far less massive than Earth. A body's surface gravity is proportional to its mass, but inversely proportional to the square of its radius

Explanation:

brainliest + extra points (50) plzz

what is true about ocean water that is more dense?
1. It is generally warmer water.
2. It sinks to the bottom.
3. It has a lower salinity than less dense water.
4. It rises to the surface.

Answers

Answer:

Ocean water is more dense because of the salt in it. ... Temperature has a greater effect on the density of water than salinity does. So a layer of water with higher salinity can actual float on top of water with lower salinity if the layer with higher salinity is quite a bit warmer than the lower salinity layer.


Define friction. Prove that tangent of angle of friction is equal to coefficient
of friction.​

Answers

Answer:

Friction is the force that opposes movement between moving objects.

The angle at which one object starts to slip on the other is directly related to the coefficient. When the two objects are horizontal there is no frictional force. So, the coefficient of static friction is equal to the tangent of the angle at which the objects slide. A similar method can be used to measure μk.

Explanation:

Answer:

brainliest plsssssss

Explanation:

The resistance that one surface or object encounters when moving over another

Two skaters, each of mass 51.2 kg, approach each other along parallel paths separated by 2.92 m. They have equal and op- posite velocities of 1.38 m/s. The first skater carries a long light pole 2.92 m long, and the second skater grabs the end of it as he passes; see Fig. 10-30. Assume frictionless ice. (a) Describe quantitatively the motion of the skaters after they are connected by the pole. (b) By pulling on the pole, the skaters reduce their separation to 0.940 m. Find their angular speed then.

Answers

Answer:

a)   w = 0.4726 rad / s,     b)  w_{f} = 4.56 rad / s

Explanation:

a) the two skaters have an angular momentum, for which we will form a system formed by the two of them, in this case when they collide the forces are internal and the moment is conserved.

Initial instant. When the skaters approach, just before touching

        L₀ = r p = r m v

in this case the result is the same if we take the reference system at the midpoint or on one of the skaters.    We place the reference system on one of the skaters

Final moment. After being joined by the pole

         [tex]L_{f}[/tex] = I w

as the forces are internal, the ngualr moment is conserved

         L₀ = L_{f}

         r m v = I w

         

suppose we approximate the skaters as particles

         I = m r²

we substitute

        r m v = m r² w

        w = v /r

we calculate

        w = 1.38 /2.92

         w = 0.4726 rad / s

What happens is that when the two skaters lower the pole, their velocity acts as a torque, creating a rotational movement with angular velocity w.

b) When the skaters who are at r₀ = 2.92 m approach [tex]r_{f}[/tex] = 0.940 m as the system is isolated, the angular momentum is conserved

initial instant. r₀ = 2.92

       L₀ = I w

final instant r_{f} = 0.940 m

       L_{f} = I_{f}  w_{f}

       L₀ = L_{f}

       I w = I_{f} w_{f}

let's approximate skaters as particles

       I = m r²

we substitute

         

     m r² w = m r_{f}² wf

     [tex]w_{f}[/tex] = [tex]\frac{r^{2} }{r_{f}^{2} } w[/tex]

we calculate

     w_{f} = [tex]\frac{2.92^{2} }{ 0.940^{2} }[/tex] 0.4726

     w_{f} = 4.56 rad / s

we see that the angular velocity increases

which of the following is not a mechanical form of energy?
a. Nuclear
b. Kinetic
c. Spring potential
d. Gravitational potential ​

Answers

Answer:

The answer is Spring Potential

Explanation:

Because all the others are a mechanical form of energy

if humans have some animal blood sails why do we walk on 2 feet

Answers

not all animals walk on four legs, not all animals even have legs. whales have flippers, centipedes have a hundred legs, kangaroos have two legs, cats have four. it varies depending on the creature because we are built to do different things. if a bird didn’t have wings it couldn’t fly, if a shark didn’t have its fins it wouldn’t be able to swim. just because humans are technically an animal does not mean we are exactly like other animals.

A man weighs himself twice in an elevator. When the elevator is at rest, he weighs 824 N; when the elevator starts moving upward, he weighs 932 N. Most nearly how fast is the elevator accelerating, assuming constant acceleration?

a. 0.64 m/s
b. 1.1 m/s^2
c. 1.3 m/s
d. 9.8 m/s^2

Answers

Answer: c. 1.3 m/s^2

Explanation:

When he is at rest, is weight can be calculated as:

W = g*m

where:

m = mass of the man

g = gravitational acceleration = 9.8m/s^2

We know that at rest his weight is W = 824N, then we have:

824N = m*9.8m/s^2

824N/(9.8m/s^2) = m = 84.1 kg

Now, when the elevators moves up with an acceleration a, the acceleration that the man inside fells down is g + a.

Then the new weight is calculated as:

W = m*(g + a)

and we know that in this case:

W = 932N

g = 9.8m/s^2

m = 84.1 kg

Then we can find the value of a if we solve:

932N = 84.1kg*(9.8m/s^2 + a)

932N/84.1kg = 11.1 m/s^2 = 9.8m/s^2 + a

11.1 m/s^2 - 9.8m/s^2 = a = 1.3 m/s^2

The correct option is C

A 0.323 kg ball is moving 13.9 m/s when it runs into a spring. If the spring compresses 0.350 m in bringing the ball to a stop, what is the spring constant?

Answers

Answer:

Explanation:

F = -k*x

k = F/x = (0.323*9.8)/(0.35)

k = 9.04

The kinetic energy of the spring is equal to its elastic potential energy. From this we can determine the force constant k. The force, constant of the ball here is 509.4 N/m.

What is spring constant ?

The applied force f on an elastic material like a spring is directly proportional  to the displacement x of the material.

Thus, f = -k x

here, the proportionality constant k is called spring constant or force constant. It can be defined as the force required to stretch or compress an elastic material by 1 m.

The elastic potential energy = 1/2 kx²

it is equal to the kinetic energy of the material if its move to form a wave like a spring.

Here, mass of the ball = 0.323 kg

velocity = 13.9 m/s

displacement = 0.350 m

then 1/2 mv² = 1/2 kx²

then k = mv²/x²

k = 0.323 kg × (13.9 m/s)²/ (0.35)² = 509.4 N/m

Therefore, the spring constant of the ball will be 509.4 N/m.

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What happens to most of the light waves that strike a clear pane of glass? O A. absorption B. diffraction O C. reflection O D. transmission​

Answers

slight reflect but most goes through because glass is transparent

Most of the light waves that strike a clear pane of glass reflects. Details about reflection can be found below.

What is reflection?

Refection in physics is the property of a propagated wave being thrown back from a surface such as a mirror.

Mirror is an example of an object that could be hit by an incumbent wave, however, most of the light waves that hit the mirror surface gets reflected back.

Therefore, most of the light waves that strike a clear pane of glass reflects.

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A student drops a ball off the top of building and records that the ball takes 3.82s to reach the ground. Determine all unknowns and answer the following questions. Neglect drag.
What was the ball's speed just before striking the ground?

m/s

From what height was the ball dropped?

m

Answers

Explanation:

Given parameters:

Time of drop  = 3.82s

Unknown:

Final velocity of the ball  = ?

Height of fall  = ?

Solution:

To solve this problem, we apply the appropriate motion equation.

  To find the final velocity;

   v  = u + gt

v is the unknown final velocity

u is the initial velocity  = 0m/s

g is the acceleration due to gravity  = 9.8m/s²

t is the time

 v  = 0  + 9.8 x 3.82  = 37.4m/s

Height of drop;

       H  = ut + [tex]\frac{1}{2}[/tex]gt²  

So;

        H  = (0 x 3.82) + ( [tex]\frac{1}{2}[/tex] x 9.8 x 3.82²) = 71.5m

What average net force is required to stop a 3.5 kg bowling ball initially travelling at a speed of 1.5 m/s over a distance of 0.4 m?

Answers

First the aceleration:

Vf² = Vo² - 2ad

a = (Vf² - Vo²) / 2d

a = (0 m/s)² - (1,5 m/s)²) / 2 * 0,4 m

a = -2,25 m²/s² / 0,8 m

a = -2,81 m/s²

Now, for the net force, use 2nd law of Newton:

F = ma

F = 3,5 kg * (-2,81 m/s²)

F = -9,835 N

The force for stop the bowling ball is -9,835 Newtons.

A 755 N box rests on a floor with a coefficient of kinetic friction of 0.600 and a coefficient of static friction of 0.800. What horizontal force is required to start the box moving

Answers

Answer:

fr = R× co-efficient

= 755 × 0.80  

= 604N

Explanation:

A boy climbs 12.0m up an apple tree. He picks an apple and throws it horizontally with a velocity of 3.0 m/s. How far forward does the ball go before it hits the ground

Answers

Answer:

4.692m

Explanation:

The distance that this boy climbed = 12.0m

The velocity = 3.0m/s

We are to find how far forward this apple goes before it hits the ground.

We have y = 1/2gt²

X = v*t

T = 1.564 seconds

X = 3x1.564

X = 4.692m

Therefore the ball goes a distance of 4.692m forward before it then hits the ground.

rawr goes the dinosaur rawrrrrrrr >:c

Answers

Answer:

rawrrrrrrrrrrrrrrrrrr

lol Thank you

Answer:AAAAAAHHHHH scary :c

Explanation:

Convert 3.45inches into km

Answers

Answer:

can someone please answer this i need this for a mastery test aswell

Explanation:

it would be very appreciated

Answer:

3.45 inches = 8.763e-5 kilometers

A sled weighs 10.0 kg. It is held in place on a frictionless 20.0-degree slope by a rope attached to a stake at the top of the slope. Find the tension in the rope if it is parallel to the slope. 47.9 N 37.4 N

Answers

Answer:

33.5 N

Explanation:

Given that

Mass of the sled is, m = 10 kg

Angle of slope, θ = 20°

The tension in the rope of its parallel to the slope is often given as

W * sinθ, where

W = Force on the rope and

θ = angle of the slope

Now, remember that

w = mg, where g = acceleration due to gravity, so

W = 10 kg * 9.81 m/s²

W = 98.1 N,

Going ahead to solve for tension in the slope, we have

T = W * sinθ

T = 98.1 * sin20

T = 98.1 * 0.342

T = 33.5 N

Tension in the slope is 33.5 N

Kindly leave a like if it helped you

What type of telescope did Galileo use to observe Jupiter?

reflector telescope
refractor telescope
radio telescope
latter telescope

Answers

Answer:

a refractor telescope

Explanation:

Answer:

a. refractor telescope

Help! Help!

___ are a primary way to discourage drinking and driving.
A. High prices for alcohol
B. Scare tactics
C. Laws

Answers

Answer:

Laws

Explanation:

Laws are a primary way discourage drinking and driving

A primary way to discourage drinking and driving is Law.

What is drinking and driving?

The person who takes in alcohol and then drives on the road. This is strictly prohibited.

Laws against the  'drinking and driving' will make people get scared of getting charged or sentenced to jail for some years. Lot of accidents have caused when there were no laws against the action.

Thus, Laws are a primary way to discourage drinking and driving.

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A block slides along a frictionless surface and onto a slab with a rough surface. The slab has mass of 4 kg and the block has mass of 2 kg. What is the friction force on the small block at t = 1 second?

Answers

Answer: the friction force on the small block at t equals 1 second is 2N

Explanation:

Given the data in the question;

from the slope in the graph provided, we will get the acceleration of the slab

At t = 1 seconds

Slope = acceleration = ( 1 - 0) / ( 2 - 0 ) = 1/2 = 0.5 m/s²

Force = ma = 4 × 0.5 = 2 N

so by Newton's third law

Force on block will be same which is 2N

Therefore the friction force on the small block at t equals 1 second is 2N

Say a funny joke and whoever makes me laugh the hardest gets brainliest or however u spell it haha

Answers

Ight bet
I told my friend she was drawing her eye brows to high and she look surprised

You don’t need a parachute to go skydiving but you do need it to go twice

People only call me ugly till they figure out how much money I make then that call me ugly and poor

You’re not completely useless you can always serve as a bad example

Answer:

i cant make funny joke

Explanation:

but i can be alive.

wait no, im failing at that currently.

1. A 75.0 kg man pushes on a 500,000kg wall for 250s but it does not move. How
much work does he do on the wall?

Answers

Answer:

0J

Explanation:

No work is being done on the wall by the man pushing on it.

 Given parameters:

Mass of man  = 75kg

Mass of wall  = 500000kg

Time  = 250s

Unknown:

Work done  = ?

Solution:

Work done is the force applied on a body that moves it along a particular path.

For work to be done, distance must be move or displacement must occur.

Since the wall is not moving the distance is 0;

    Work done  = Force x distance

Since distance is 0m, work done is 0J

The work done on the wall by the man is 0 J.

To calculate the amount of work done by the man, we use the formula below.

Formula:

W = (ma)d............. Equation 1

Where:

W = Work done on the wall by the manm = mass of the walla = acceleration of the walld = distance.

from the question,

Given:

m = 500000 kga = 0 m/s² (not moving)d = 0 m.

Substitute these values into equation 1

W = 500000(0)(0)W = 0 J.

Hence, the work done on the wall by the man is 0 J.

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At what rate, in m/s2, does gravity cause objects to accelerate on Earth? Do not include units in your answer.

Answers

Answer:

9.8

Explanation:

I searched it up

..........

....

Which two statements describe how ultrasound technology produces an
image of part of the body?
A. The amount of time it takes for a wave to return can be used to
create an image.
B. Low-frequency sound waves are reflected by tissues in the body.
C. High-frequency sound waves are reflected by tissues in the body.
D. Body tissues absorb high-frequency sound waves, producing an
image

Answers

Answer:

A,C

Explanation:

The amount of time it takes for a wave to return can be used to create an image

High--frequency sound waves are reflected by tissues in the body

Ultrasound technology produces an image of part of the body on: The amount of time it takes for a wave to return can be used to create an image and high-frequency sound waves are reflected by tissues in the body. So, option (A) and (C) is correct.

What is ultrasonic technology?

Sound waves are used in ultrasound imaging to create images of the inside of the body. It aids in determining the origins of discomfort, edema, and infection in the body's internal organs as well as the examination of a developing fetus in pregnant women.

The same concepts underlie sonar used by ships, bats, and fisherman as well as those used by ultrasound imaging. A sound wave echoes or bounces back when it encounters an object. These echo waves can be measured to obtain information on the object's size, shape, and consistency as well as its distance from the source. Whether the thing is solid or liquid is included in this.

The amount of time it takes for a wave to return helps to create an image and high-frequency sound waves are reflected by tissues in the body. So, option (A) and (C) is correct.

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