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Chapter 7: Gravitation

Total questions: 30

Worksheet time: 3600secs

Name
Class
Date
1.

Two objects with masses m1 and m2 respectively are a distance r apart. The magnitude of the gravitational force between them is F. The masses are changed to 2m1 and 2m2 and the distance is changed to 4r. Find the magnitude of the new gravitational force in terms of F

a)

F16 \frac{F}{16\ }

b)

F4\frac{F}{4}

c)

16F16F

d)

4F4F

2.

A body is released close to the surface of a planet of mass M and radius R. It falls freely under the gravitational attraction of the planet. What is its acceleration due to gravity?

a)

MGR\frac{MG}{R}

b)

MGR2\frac{MG}{R^2}

c)

RMG\frac{R}{MG}

d)

R2MG\frac{R^2}{MG}

3.

The gravitational force between two objects is inversely proportional to

a)

The distance between the two objects

b)

The square of the distance between the objects

c)

The products of the two objects

d)

The square of the product of the two objects

4.

Two objects attract each other gravitationally. If the distance between their centers is cut in half, the gravitational force

a)

Is cut to one fourth

b)

Is cut to in half

c)

Doubles

d)

Quadruples

5.

Suppose a satellite were orbiting the earth just above the surface. What is its centripetal acceleration?

a)

Smaller than g

b)

Equal to g

c)

Larger than g

d)

Impossible to say without knowing the mass

6.

Consider a small satellite moving in a circular orbit (radius r) about a spherical planet (mass M). Which expression gives this satellite's orbital velocity?

a)

v =GMrv\ =\frac{GM}{r}

b)

v = (GMr)12v\ =\ \left(\frac{GM}{r}\right)^{\frac{1}{2}}

c)

v=GMr2v=\frac{GM}{r^2}

d)

v =(GMr2)12v\ =\left(\frac{GM}{r^2}\right)^{\frac{1}{2}}

7.

A body is detached gently from the outer wall of a satellite circling around earth. This body will

a)

Continue to move along the satellite

b)

Fall to the Earth

c)

Fall to the moon

d)

Follow an irregular path

8.

The value of universal gravitational constant G depends upon

a)

Nature of material of two bodies

b)

Heat content of two bodies

c)

Acceleration of two bodies

d)

None of these

9.

A rocket is launched at the surface of the Earth. As the rocket moves away from the Earth's surface what happens to its weight?

a)

Increases

b)

Decreases

c)

Remains the same

d)

Depends of its speed

10.

What keeps an earth satellite moving in its orbit?

a)

Gravitational attraction between satellite and earth

b)

Ejection of gases from the exhaust of the satellite

c)

Burning of fuel

d)

Gravitational attraction of sun

11.

If an object is released in a vacuum near the surface of a planet of mass M and radius R, its gravitational acceleration is

a)

MGRMGR

b)

MGR\frac{MG}{R}

c)

RMG\frac{R}{MG}

d)

MGR2\frac{MG}{R^2}

12.

Earth exerts a gravitational force on the Moon, keeping it in its orbit. The reaction to this force, in the sense of Newton’s third law, is:

a)

The centripetal force on the Moon

b)

The force of circular orbit of the Moon

c)

The gravitational force on Earth by the Moon

d)

The External force by the sun on the earth

13.

In the formula F = Gm1m2/r2, the quantity G:

a)

Depends on the local value of g

b)

Is used only when Earth is one of the two masses

c)

Is greatest at the surface of Earth

d)

Is a universal constant of nature

14.

An object is raised from the surface of Earth to a height of two Earth radii above Earth. Then:

a)

Its mass increases and its weight remains constant

b)

Both its mass and weight remain constant

c)

Its mass remains constant and its weight decreases

d)

Both its mass and its weight decrease

15.

Of the following where would the weight of an object be the least?

a)

2000 miles above Earth’s surface

b)

At the north pole

c)

At the equator

d)

At the center of Earth

16.

An artificial satellite of Earth nears the end of its life due to air resistance. While still in orbit:

a)

It moves faster as the orbit lowers

b)

It moves slower as the orbit lowers

c)

It slowly spirals away from Earth

d)

It moves slower in the same orbit but with a decreasing period

17.

An astronaut finishes some work on the outside of his satellite, which is in circular orbit around Earth. He leaves his wrench outside the satellite. The wrench will:

a)

Fall directly down to Earth

b)

Continue in orbit at reduced speed

c)

Continue in orbit with the satellite

d)

Fly off tangentially into space

18.

An artificial satellite of Earth releases a bomb. Neglecting air resistance, the bomb will:

a)

Strike Earth under the satellite at the instant of release

b)

Strike Earth under the satellite at the instant of impact

c)

Strike Earth behind the satellite at the instant of impact

d)

Never strike Earth

19.

What is the period for communications satellite orbiting the Earth if its period is the same as Earth orbital?

a)

1 Year

b)

12 Hour

c)

1 Month

d)

86400 second

20.

''Newton's Law of Gravitation states that force between two-point masses is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.'' This statement related with

a)

Newton 's 1st Law of motion

b)

Newton 's 2nd Law of motion

c)

Newton 's 3rd Law of motion

d)

Conservation of energy

21.

Gravitational potential energy depends on the ________ and ________ of the object.

a)

Height and mass

b)

Friction and movement

c)

Mass and Movement

d)

Height and Friction

22.

The value of the gravitational field strength, , on the surface of a planet is

dependent on one of the following quantities

a)

MassRadius\frac{Mass}{Radius}

b)

MassMass

c)

MassRadius2\frac{Mass}{Radius^2}

d)

Mass(radius)Mass\left(radius\right)

23.

Which of the following factors NOT affect the gravitational field strength of a planet?

a)

Mass of the planet

b)

Diameter of the planet

c)

Universal gravitational constant

d)

Atmosphere pressure at the surface of the planet

24.

The gravitational force between two objects is inversely proportional to

a)

The distance between the two objects.

b)

The square of the distance between the two objects.

c)

The product of the mass of the two objects.

d)

The square of the product of the two objects

25.

Force acting on two-point masses is directly proportional to

a)

Sum of masses

b)

Difference of masses

c)

Distance between masses

d)

Product of masses

26.

The earth and the moon are attracted to each other by gravitational force. The earth attracts the moon with a force that is

a)

More than that exerted by the moon

b)

Same as that exerted by the moon

c)

Less than that exerted by the moon

d)

Not related to that exerted by the moon

27.

As a rocket moves away from the Earth's surface, the rocket's weight

a)

Increases.

b)

Decreases.

c)

Remains the same.

d)

Depends on how fast it is moving.

28.

Consider an earth satellite in an elliptical orbit. Its centripetal acceleration is

a)

Zero

b)

Constant

c)

Less than g at the earth surface

d)

More than g at the earth surface

29.

The mass of the satellite is increased. In order to maintain the same orbital period, its distance from the earth must

a)

Increase

b)

Decrease

c)

Remain constant

d)

None of the above

30.

What is the weight of the body at the center of the earth?

a)

Infinity

b)

Same as the weight of the body on the earth

c)

Zero

d)

Cannot be determined