Free Printable Newton's Law of Universal Gravitation

Worksheets

Newton's Law of Universal Gravitation

Total questions: 29

Worksheet time: 21mins

Name

Class

Date

What is weight?

The amount of matter an object has

The measure of an object's inertia

The gravitational force that attracts objects near Earth's surface

9.8 m/s²

Which property is directly proportional to the gravitational force between two particles?

mass 1 only

mass 2 only

center-to-center distance between the two particles

mass 1 and mass 2

If r is the center-to-center distance between m1 and m2, then the gravitational force between them is

is directly proportional to r

is directly proportional to r²

is inversely proportional to r

is inversely proportional to r²

How does F_g(2 on 1) compared with F_g (1 on 2)?

They have the same magnitudes but opposite directions

They have the same directions but opposite magnitudes

They have the same magnitudes and directions

They have opposite magnitudes and directions

Here mass 1 is clearly bigger than mass 2. Compare their forces.

The magnitude of the force on mass 1 is bigger than on mass 2

The magnitude of the force on mass 2 is bigger than on mass 1

The magnitude of the force on both mass 1 and mass 2 are the same

This question is sponsored by Milcu Deodorant Powder

Which of the following is the value of the Gravitational constant, G (to 3 sig figs)

6.67 x 10^-10 Nm²/kg²

6.67 x 10^-11 Nm²/kg²

-9.8 m/s²

9.8 m/s²

If we double the mass of m₁ and triple the mass of m₂, while keeping r the same, what happens to their F_g?

5 times greater

6 times greater

reduced by 1/5

reduced by 1/6

If m₁ and m₂ have the same radius R, and r = 8R, then what happens to the gravitational force between them if the masses are kept constant, but they are brought closer so that they touch?

reduced by 1/4

reduced by 1/16

4 times greater

16 times greater

if m₁ = 2 kg, and m₂ = 1 kg, and r = 1 m, then what is F_g between them?

G Newtons

1/2 G Newtons

2G Newtons

3G Newtons

4G Newtons

10.

If m₁ = 1 kg, m₂ = 2 kg, and r = 2 m, then what is the magnitude of the initial acceleration of m₁?

$2Gm_1$

$4Gm_1$

$\frac{G}{2m_1}$

$\frac{G}{4m_1}$

11.

If m₁ = 2 kg, m₂ = 9 kg, and r = 3 m , then what is the magnitude of the initial acceleration of m₂?

$\frac{G}{2m_2}$

$\frac{G}{4m_2}$

$\frac{2G}{m_2}$

$\frac{4G}{m_2}$

12.

m₁ and m₂ are spheres. For the law of Universal Gravitation to hold,

The mass of each sphere must be symmetrically evenly distributed

The mass of both spheres must be the same

Both spheres must have the same radii

The separation distance must be a whole number value

13.

If we keep m₁ fixed, and allow m₂ to move, at which direction will m₂ move?

North

South

East

West

14.

Continuation. What can you say about the magnitude of the linear velocity of m₂ as it moves towards m₁?

it is constant

it is changing

it is zero

it is directed East

15.

Continuation. What can you say about the gravitational force between m₁ and m₂ as m₂ starts moving towards m₁?

F_g increases

F_g decreases

F_{g is constant}

F_g is zero

16.

You have two masses, the blue and grey in the far corners of space. In which situation is the gravitational force between them stronger?

Situation A

Situation B

both have the same gravitational force

I like peanuts

17.

Continuation. What can you say about the acceleration of m₂ as it moves towards m₁?

acceleration is zero

acceleration is non-zero but constant

acceleration is changing

acceleration is negative

18.

If the mass of the Earth is labeled m_E, the mass of object A is m, and the radius of the Earth is R, then what is the gravitational force between them?

$\frac{Gm_Em}{R}$

$\frac{Gm_Em}{R^2}$

$\frac{G\left(m_E+m\right)}{R}$

$\frac{G\left(m_E+m\right)}{2R}$

19.

Continuation. If object A is lifted one Earth radii above the Surface, then what is the gravitational force between them?

$\frac{2Gm_Em}{R^2}$

$\frac{4Gm_Em}{R^2}$

$\frac{Gm_Em}{2R^2}$

$\frac{Gm_Em}{4R^2}$

20.

Three masses fixed in space form a right triangle. Which arrow best represents the direction of the net gravitational force acting on mass 2?

21.

Continuation. Which arrow best represents the net gravitational force acting on m₁?

22.

If r₁₂ = r₁₃, then what angle does the gravitational force that m₁ experiences due to m₃ make with the +x-axis?

0^o

30^o

45^o

60^o

23.

if m₁ < m2 < m₃, then where (in the line joining the centers of the three masses) can m₂ be placed such that the net gravitational force acting on it is zero?

closer to mass 1

closer to mass 2

right in the middle of m₁ and m₂

24.

Continuation. If m₂ is placed in the middle of m₁ and m₃, then what is the direction of the net gravitational force acting on m₂?

North

South

East

West

25.

The planet Saturn has about 100 times the mass of the Earth and is about 10 times farther from the sun than the Earth is. Compared to the acceleration of the Earth caused by the sun's gravitational pull, how great is the acceleration of Saturn due to the sun's gravitation?

100 times greater

10 times greater

the same

1/10 as great

1/100 as great

26.

Two objects, one with a mass of m and one with a mass of 4m are attracted to each other by a gravitational force. If the force on 4m is F, what is the force of mass m in terms of F?

16F

1/4 F

27.

If the mass of the Earth increased, with no change in radius, your weight would

stay the same

decrease

increase also

28.

If the radius of the Earth decreased, with no change in mass, your weight would

not change

increase

decrease

29.

What event will produce the greatest increase in the gravitational force between two masses?

Doubling the large mass

Doubling the distance between the masses

Reducing the small mass by half

Reducing the distance between the masses by half

100 %

Newton's Law of Universal Gravitation

Total questions: 29

Worksheet time: 21mins

Similar Resources on Wayground