Free Printable Universal Gravitational Force

1.

Two asteroids exert a gravitational force F, on each other. Sometime later, the asteroids are now three times as far from each other as before. Which of the following represents the gravitational force at this distance?

a)

$\frac{F}{3}$

b)

$\frac{F}{2}$

c)

$\frac{F}{6}$

d)

$\frac{F}{9}$

2.

An object has a mass of 50 kg and a weight of 500 N when it is resting on the surface of the Earth. If it is moved to a height equal to three times the Earth’s radius, what is the object’s new weight?

a)

$300\ N$

b)

$30\ N$

c)

$130\ N$

d)

$60\ N$

3.

The moon's distance from the center of the Earth was decreased by a multiple of three. How would this affect the gravitational force of the Earth on the moon?

a)

It would increase by a factor of nine.

b)

It would decrease by a factor of nine.

c)

It would increase by a factor of three.

d)

The gravitational force would not be affected, because the moon's mass is the same.

4.

A body with mass m is situated 3.0 meters from a second body with a mass of 2 m. What will be the effect on gravitational attraction of moving one body so that it is only 1.74 meters from the other body?

a)

It will increase by a factor of 3

b)

It will increase by a factor of 1.74

c)

It will decrease by a factor of 1.74

d)

It will decrease by a factor of 3

e)

It will increase by a factor of 9

5.

Which of the following changes would increase a satellite's orbital speed?

a)

Decrease the mass of the satellite

b)

Decrease orbital radius

c)

Increase orbital radius

d)

Increase the mass of the satellite

e)

Decrease the mass of the Earth

6.

2 lead spheres having mass of 1000 kg each are placed with their centers 1 m apart. gravitational force with which they attract to each other will be ....

a)

$6.673\times10^5\ N$

b)

$66.73\times10^5\ N$

c)

$6.673\times10^{-5}\ N$

d)

$66.73\times10^{-5}\ N$

7.

The mass of the body on moon is 40 kg, what is the weight on the earth.

a)

240 N

b)

392 N

c)

340 N

d)

400 N

8.

The distance between two bodies becomes 6 times more than the usual distance. The F becomes ...

a)

36 times

b)

6 times

c)

12 times

d)

1/36 times

9.

Each of five satellites makes a circular orbit about an object that is much more massive than any of the satellites. The mass and orbital radius of each satellite are given below. Which satellite has the greatest speed?

a)

A

b)

B

c)

C

d)

D

e)

E

10.

A person weighing 800 newtons on Earth travels to another planet with twice the mass and twice the radius of Earth. The person's weight on this other planet is most nearly……

a)

$400\ N$

b)

$\frac{800}{\sqrt{2}}\ N$

c)

$800\ N$

d)

$800\sqrt{2}\ N$

11.

Mars has a mass 1/10 that of Earth and a diameter 1/2 that of Earth. The acceleration of a falling body near the surface of Mars is most nearly ...

a)

$0.25\ \frac{m}{s^2}$

b)

$0.5\ \frac{m}{s^2}$

c)

$2\ \frac{m}{s^2}$

d)

$4\ \frac{m}{s^2}$

e)

$25\ \frac{m}{s^2}$

12.

If Spacecraft X has twice the mass of Spacecraft Y, then true statements about X and Y include which of the following?

I. On Earth. X experiences twice the gravitational force that Y experiences.

II. On the Moon, X has twice the weight of Y.

III. When both are in the same circular orbit, X has twice the centripetal acceleration of Y.

a)

I only

b)

III only

c)

I and II only

d)

II and III only

e)

I, II and III

13.

The planet Mars has mass $6.4×10^{23}$ kilograms and radius $3.4×10^6$ meters. The acceleration of an object in free-fall near the surface of Mars is most nearly

a)

$1.0\ \frac{m}{s^2}$

b)

$1.9\ \frac{m}{s^2}$

c)

$3.7\ \frac{m}{s^2}$

d)

$9.8\ \frac{m}{s^2}$

14.

An object has a weight W when it is on the surface of a planet of radius R. What will be the gravitational force on the object after it has been moved to a distance of 4R from the center of the planet?

a)

16 W

b)

4 W

c)

W

d)

1/16 W

15.

A new planet is discovered that has twice the Earth's mass and twice the Earth's radius. On the surface of this new planet, a person who weighs 500 N on Earth would experience a gravitational force of ...

a)

125 N

b)

250 N

c)

500 N

d)

1000 N

e)

2000 N

16.

A satellite of mass (m) and speed (v) moves in a stable, circular orbit around a planet of mass (M). What is the radius of the satellite's orbit?

a)

$\frac{GM}{mv}$

b)

$\frac{Gv}{Mm}$

c)

$\frac{GM}{v^2}$

d)

$\frac{GMm}{v}$

e)

$\frac{GMm}{v^2}$

17.

The mass of Planet X is one-tenth that of the Earth, and its diameter is one-half that of the Earth. The acceleration due to gravity at the surface of Planet X is most nearly

a)

$2\ \frac{m}{s^2}$

b)

$4\ \frac{m}{s^2}$

c)

$5\ \frac{m}{s^2}$

d)

$7\ \frac{m}{s^2}$

e)

$10\ \frac{m}{s^2}$

18.

A newly discovered planet, "Cosmo" has a mass that is 4 times the mass of the Earth. The radius of the Earth is $R_E$ . The gravitational field strength at the surface of Cosmo is equal to that at the surface of the Earth if the radius of Cosmo is equal to ...

a)

$\frac{1}{2}\ R_E$

b)

$R_E$

c)

$2\ R_E$

d)

$\sqrt{R_E}$

e)

$R_E^2$

19.

Two artificial satellites, 1 and 2, orbit the Earth in circular orbits having radii $R_1$ and $R_2$ , respectively, as shown . If $R_2=2R_1$ , the accelerations $a_2$ and $a_1$ of the two satellites are related by which of the following?

a)

$a_2\ =\ 4a_1$

b)

$a_2\ =\ 2a_1$

c)

$a_2\ =\ a_1$

d)

$a_2\ =\ \frac{a_1}{2}$

e)

$a_2\ =\ \frac{a_1}{4}$

20.

A satellite moves in a stable circular orbit with speed ( $v_o$ ) at a distance ( $R$ ) from the center of a planet. For this satellite to move in a stable circular orbit a distance ( $2R$ ) from the center of the planet, the speed of the satellite must be…

a)

$\frac{v_o}{2}$

b)

$\frac{v_o}{\sqrt{2}}$

c)

$v_o$

d)

$\sqrt{2v_o}$

e)

$2v_o$

21.

Titan is the largest moon of Saturn. It has a mass of $1.35×10^{23}$ kg. Saturn has a mass of $5.68×10^{26}\ kg$ . If the magnitude of the gravitational force between them is $3.43×10^{21}\ N$ , what is the distance between the centers of mass of Saturn and Titan? Use a value of $6.67×10^{-11}\ m^3/kg⋅s^2$ for the universal gravitational constant.

a)

$3.32\times10^{10}\ m$

b)

$1.49\times10^9\ m$

c)

$1.22\times10^9\ m$

d)

$2.09\times10^9m$

e)

$1.75\times10^{11}\ m$

22.

Two spaceships are in deep space. The distance between the centers of mass of the two spaceships is $300\ m$ , and the force between them is $5.51×10^{-7}\ N$ . If one spaceship has a mass of $24‎‎000\ kg$ , what is the mass of the other spaceship? Use a value of $6.67×10^{-11}\ m^3/kg⋅s^2$ for the universal gravitational constant.

a)

$103\ kg$

b)

$288\ kg$

c)

$3‎‎230\ kg$

d)

$26‎‎500\ kg$

e)

$31‎‎000\ kg$

23.

Two objects, A and B, are in deep space. Object (A) has a mass of $15‎000\ kg$ and object (B) has a mass of $26‎‎000\ kg$ . The distance between the centers of mass of the two objects is $25\ m$ . What is the acceleration of object (B) toward object (A) due to their gravitational interaction? Use a value of $6.67×10^{-11}\ m^3/kg⋅s^2$ for the universal gravitational constant.

a)

$4.16×10^{-5}\ m/s^2$

b)

$1.60\times10^{-9}\ m/s^2$

c)

$4.00×10^{-8}\ m/s^2$

d)

$6.94×10^{-8}\ m/s^2$

e)

$2.77×10^{-9}\ m/s^2$

24.

The figure shows two large rocks in outer space. Each rock has a mass of $480\ kg$ . What is the magnitude of the gravitational force between the two rocks? Use a value of $6.67×10^{-11}\ m^3/kg⋅s^2$ for the universal gravitational constant. The grid lines on the grid are spaced 1 m apart.

a)

$1.54×10^{-7}\ N$

b)

$1.54×10^{-6}\ N$

c)

$3.20×10^{-9}\ N$

d)

$3.20×10^{-10}\ N$

25.

Earth has a mass of $5.97×10^{24}\ kg$ and orbits the Sun at a distance of $1.50×10^{11}\ m$ . The magnitude of the gravitational force between Earth and the Sun is $3.54×10^{22}\ N$ . What is the mass of the Sun? Use a value of $6.67×10^{-11}\ m^3/kg⋅s^2$ for the universal gravitational constant.

a)

$3.37×10^{32}\ kg$

b)

$1.33×10^{19}\ kg$

c)

$5.69×10^{34}\ kg$

d)

$2.21×10^{30}\ kg$

e)

$2.00×10^{30}\ kg$

26.

A rocket ship is travelling from Earth to Mars with a uniform velocity. Which of the graphs accurately describes the change of the gravitational force, 𝐹 ,between Earth and the rocket ship with time, 𝑡?

a)

a

b)

b

c)

c

d)

d

27.

The diagram shows three planets A, B, and C which are in the same plane. Their masses and the distances between them are shown in the diagram. What is the ratio of the gravitational force between the planets A and B to the gravitational force between the planets B and C?

a)

$\frac{1}{4}$

b)

$\frac{2}{1}$

c)

$\frac{1}{2}$

d)

$\frac{8}{\sqrt{2}}$

Universal Gravitational Force

Total questions: 27

Worksheet time: 27mins

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