Home
Class 11
PHYSICS
Two objectes of mass m and 4m are at res...

Two objectes of mass m and 4m are at rest at and infinite seperation. They move towards each other under mutual gravitational attraction. If G is the universal gravitational constant. Then at seperation r

A

the total mechanical energy of the two objects is zero

B

their relative velocity is `sqrt((10Gm)/(r ))`

C

the total kinetic energy of the objects is `(4Gm^(2))/(r )`

D

the relative velocity is zero.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
At infinity total mechanical energy was zero, since mechanical energy conserve, thus total mechanical energy will be zero through the motion of the particles.
`K.E.+P.E.=0 rArr K.E.=-P.E.`
`K.E.=-((-4Gm^(2))/(r ))`
`K.E.=(4Gm^(2))/(r )`
`rArr v_(rel) = sqrt((10 Gm)/(r ))`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    BANSAL|Exercise EXERCISE -2 [Matrix Type]|1 Videos

  • GRAVITATION

    BANSAL|Exercise EXERCISE -3 [Miscellaneous Exercise]|35 Videos

  • GRAVITATION

    BANSAL|Exercise EXERCISE -2 [Reasoning Type]|5 Videos

  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise EXERCISE-4 (SECTION-B) (JEE-ADVANCED Previous Year Questions)|8 Videos

  • HEAT TRANSFER

    BANSAL|Exercise Exercise|89 Videos

Similar Questions

Explore conceptually related problems

Two objects of masses m and 4m are at rest at an infinite separation. They move towards each other under mutual gravitational attraction. If G is the universal gravitaitonal constant, then at separation r

Two objects of massses m and 4 m are at rest at infinite separtion they move twoards each other under mutula gravitonal attraction then at a separation r which of the following is true ?

Two particles of masses m and M are initially at rest at an infinite distance part. They move towards each other and gain speeds due to gravitational attracton. Find their speeds when the separation between the masses becomes equal to d .

Two bodies of mass m_(1) and m_(2) are initially at rest placed infinite distance apart. They are then allowed to move towards each other under mutual gravitational attaction. Show that their relative velocity of approach at separation r betweeen them is v=sqrt(2G(m_(1)+m_(2)))/(r)

Two particles of mass m and M are initialljy at rest at infinite distance. Find their relative velocity of approach due to gravitational attraction when d is their separation at any instant

Two bodies of masses 2kg and 4 kg are moving with velocities 20 m/s and 10m/s towards each other due to mutual gravitational attraction . What is the velocity of their centre of mass ?

Two masses m_(1) and m_(2)(m_(1)ltm_(2)) are released from rest finite distance. They start under their mutual gravitational attraction-

Two bodies of masses m_(1) and m_(2) are initially at infinite distance at rest. Let they start moving towards each other due to gravitational attraction. Calculate the (i) ratio of accelerations and (ii) speeds at the point where separation between them becomes r.

Why don't two object move towards each other due to gravitational pull between them ?