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Write a short note on escape velocity.

Important Questions on Gravitation

MEDIUM

Science>Physics>Gravitation>Escape Velocity

What is escape velocity of a satellite?

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Science>Physics>Gravitation>Escape Velocity

The escape velocity of a body from the earth’s surface, based on the principle of conservation of energy

V_{e s c}

is = _____ .

MEDIUM

Science>Physics>Gravitation>Escape Velocity

An artificial satellite moves in a circular orbit around the earth. Total energy of the satellite is given by

E

. The potential energy of the satellite is

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Science>Physics>Gravitation>Escape Velocity

Are kinetic and potential energies interconvertible?

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Science>Physics>Gravitation>Escape Velocity

State with reasons whether the following sentences are true or false.
If a spacecraft has to be sent away from the influence of earth’s gravitational field, its velocity must be less than the escape velocity.

HARD

Science>Physics>Gravitation>Escape Velocity

A satellite has kinetic energy

k

, potential energy

v

and total energy

E

. Which of the following statements is true?

MEDIUM

Science>Physics>Gravitation>Escape Velocity

On which factors does the escape speed of a body from the surface of earth depends?

HARD

Science>Physics>Gravitation>Escape Velocity

An artificial satellite revolves around the earth in circular orbit with a speed $v$ . If $m$ is the mass of the satellite, its total energy is

EASY

Science>Physics>Gravitation>Escape Velocity

The total energy of a body at an infinite distance from the earth's surface is equal to

MEDIUM

Science>Physics>Gravitation>Escape Velocity

A satellite is moving with a constant speed

v

in a circular orbit about the earth. An object of mass

m

is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of its ejection, the kinetic energy of the object is

HARD

Science>Physics>Gravitation>Escape Velocity

Show that the sum of the kinetic energy and potential energy of a freely falling body is conserved?

HARD

Science>Physics>Gravitation>Escape Velocity

Two inclined frictionless tracks, one gradual and the other steep meet at A, from where two stones are allowed to slide down from rest, one on each track (Figure). Will the stones reach the bottom at the same time? Will they reach there with the same speed? Explain. Given

θ_{1} = 30 °, θ_{2} = 60 °

, and

h = 10 m

, what are the speeds and times taken by the two stones?
Question Image

HARD

Science>Physics>Gravitation>Escape Velocity

Two stars each of mass

m

and radius

R

approach each other to collide head-on. Initially the stars are at a distance

r (≫ > R)

. Assuming their speeds to be negligible at this distance of separation, the speed with which the stars collide is

EASY

Science>Physics>Gravitation>Escape Velocity

State if the given statement is true or false. Give reasons for your answer.

Total energy of a system is always conserved, no matter what internal and external forces on the body are present.

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Science>Physics>Gravitation>Escape Velocity

A body is orbiting vary close to the earth's surface with kinetic energy

K . E

. The energy required to completely escape from it is

EASY

Science>Physics>Gravitation>Escape Velocity

The value of gravitational potential energy at an infinite distance from the earth is

MEDIUM

Science>Physics>Gravitation>Escape Velocity

U -

shaped smooth wire has a semi-circular bend of radius

R

between

A

and

B

. It is held fixed in a vertical plane. A bead of mass

m

is released from height

h

(above

A

) and slides smoothly along the wire to reach the same height on other side of the wire. It is given that

h ≫ R

Consider the motion of the bead between

A

and the lowest point

C

of the wire. The ratio of change in magnitude of velocity of the particle at

A

to the magnitude of change in its velocity at

C

is nearly equal to

HARD

Science>Physics>Gravitation>Escape Velocity

An asteroid of mass

m

is approaching earth, initially at a distance of

10 R_{e}

with speed

v_{i}

. It hits the earth with a speed of

v_{f}

(

R

and

M_{e}

are radius and mass of the earth, then

HARD

Science>Physics>Gravitation>Escape Velocity

What is the minimum energy required to launch a satellite of mass

m

from the surface of a planet of mass

M

and radius

R

in a circular orbit at an altitude of

2 R

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Science>Physics>Gravitation>Escape Velocity

From where the kinetic energy of the falling rain drop come?

Write a short note on escape velocity.

Important Questions on Gravitation

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