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Gravitational potential energy/Escape velocity

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

The escape velocity of a 10g body from the earth is 11.2km/s.Ignoring air resistances, the escape velocity of 10kg of the iron ball from the earth will be

a)

0.0112km/s

b)

0.112km/s

c)

11.2km/s

d)

0.56km/s

2.

Gravitational PE= (a)   x mass

3.

If g be the acceleration due to gravity at the earth surface, then what will be the increase in potential energy if object of mass m is raised by its radius R?

a)

1/2mgR

b)

2mgR

c)

mgR

d)

1/4mgR

4.

The distance between the centres of the Moon and the earth is D. The mass of the earth is 81 times the mass of the Moon. At what distance from the centre of the earth, the gravitational force will be zero?

a)

D/10

b)

9D​/10

c)

10D/9

d)

D/10

5.

The escape velocity on a planet is v. If the radius of the planet contracts to 1/4th of present value without any change in its mass, The escape velocity will be

a)

halved

b)

doubled

c)

quadrupled

d)

one- fourth

6.

The velocity with which a projectile , must be fired so that it escapes earth's gravitation, does not depend on

a)

mass of the earth

b)

mass of projectile

c)

radius of the projectile orbit

d)

gravitational constant

7.

Consider a body of mass m which needs to be moved from an orbit of radius 2R to 3R. What is the energy required

a)

GMm/R

b)

GMm/R2

c)

GMm/6R2

d)

GMm/6R

8.

The escape velocity of a sphere of mass m from earth having mass M and radius R is given by

a)

 GMR\sqrt{\frac{GM}{R}}  

b)

 2GMR\sqrt{\frac{2GM}{R}}  

c)

 GM2R\sqrt{\frac{GM}{2R}}  

d)

 4GM/R\sqrt{\text{4GM/R}}  

9.

ve and vp denotes the escape velocity from the earth and another planet having twice the radius and the same mean density as the earth. Then

a)

vp= ve

b)

vp = 2ve

c)

vp= 4 ve

d)

2vp= ve

10.

The escape velocity from the earth is about 11 km/second. The escape velocity from a planet having twice the radius and the same mean density as the earth, is

a)

11km/s

b)

5.6km/s

c)

22km/s

d)

55.6km/s