Home
Class 11
PHYSICS
A body of mass 5m initially at rest expl...

A body of mass `5m` initially at rest explodes into 3 fragments with mass ratio `3:1:1.` Two of fragments each of mass `'m'` are found to move with a speed `60m//s` in mutually perpendicular direction. The velocity of third fragment is

A

`60sqrt(2)m//s`

B

`20sqrt(3)m//s`

C

`10sqrt(2)m//s`

D

`20sqrst(2)m//s`

Text Solution

Verified by Experts

The correct Answer is:
D
When the ball falls on the floor from a height h, the velocity acquired by the ball is `v = sqrt( 2gh ) `
As e is the coefficient of restitution, the velocity acquired by the ball after the first rebound. ` =ev = e sqrt( 2gh ) `
For the upward motion of the ball,` h = h_(1)`
`v^(2) = u^(2) + 2as ` `:. 0 = e^(2) ( 2gh ) - 2gh_(1) ` `:. h_(1) = e^(2) h `
The ball will again reach the floor with the velocity `e sqrt( 2gh ) `
The upward velocity of the ball after the second rebound will be
`e [ e sqrt( 2gh )] = e^(2) sqrt( 2gh) `
and for the upward motion
`0 = ( e^(2) sqrt( 2gh)^(2))- 2gh_(2)`
`:. 2 gh = e^(4) ( 2gh) ` `:. h_(2) = e^(4) h `
Promotional Banner

Topper's Solved these Questions

  • FORCE, WORK AND TORQUE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

  • FRICTIONAL IN SOLIDS AND LIQUIDS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

Similar Questions

Explore conceptually related problems

A particle of mass 4 m which is at rest explodes into three fragments. Two of the fragments each of mass m are found to move with a speed v each in mutually perpendicular directions. The total energy released in the process of explosion is ............

A body of mass 5 kg explodes at rest into three fragments with masses in the ratio 1 : 1 : 3. The fragments with equal masses fly in mutually perpendicular directions with speeds of 21 m/s . The velocity of the heaviest fragment will be

A body of mass 5 kg explodes at rest into three fragments with masses in the ratio 1 : 1 : 3. The fragments with equal masses fly in mutually perpendicular directions with speeds of 21 m/s. The velocity of the heaviest fragment will be -

A body of mass 1 kg at rest explodes into three fragments of masses in the ratio 1 : 1 : 3 . The two pieces of equal mass fly in mutually perpendicular directions with a speed of 30 m//s each . What is the velocity of the heavier fragment ?

A body of mass 4m at rest explodes into three pieces. Two of the pieces each of mass m move with a speed v each in mutually perpendicular directions. The total kinetic energy released is

A shell of mass m is at rest initially. It explodes into three fragments having masses in the ratio 2:2: 1. The fragments having equal masses fly off along mutually perpendicular directions with speed v. What will be the speed of the third (lighter) fragment ?

A body of mass 1 kg initially at rest explodes and breaks into three fragments of masses in the ratio 1: 1: 3. The two pieces of equal mass fly off perpendicular to each other with a speed of 30 ms^(-1) each. What is velocity of the heavier fragment?

A particle of mass 4 m which is at rest explodes into masses m, m & 2m . Two of the fragments of masses m and 2m are found to move with equal speeds v each in opposite directions. The total mechanical energy released in the process of explosion is :-

A body of mass 1kg initially at rest explodes and breaks into threee fragments of masses in the ration breaks into three fragments of masses in the ration 1: 1: 3 . The two pieces of equal masses fly off perpendicular to each other with a speed of 30m//s each What is the velocity of heavier fragments ? .