Home
Class 11
PHYSICS
A trolley of mass 200 kg moves with a un...

A trolley of mass 200 kg moves with a uniform speed of 36 km/h on a frictionless track. A child of mass 20 kg runs on the trolley from one end to the other (10 m away) with a speed of `4 ms^(-1)` relative to the trolley in a direction opposite to the its motion, and jumps out of the trolley. What is the final speed of the trolley? How much has the trolley moved from the time the child begins to run?

Text Solution

Verified by Experts

The child gives an impulse to the trolley at the start and then runs with a constant relative velocity of `4 ms^(-1)` with respect to the trolley.s new velocity. Apply momentum conservation for an observer outside. `10.36 ms^(-1), 25.9m`.
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    NCERT GUJARATI|Exercise EXERCISES|44 Videos

  • WAVES

    NCERT GUJARATI|Exercise Exercises|27 Videos

Similar Questions

Explore conceptually related problems

A trolley of mass 300 kg carrying sandbag of 25 kg is moving uniformly with a speed of 27 km/h on a frictionless track. After a while, sand starts leaking out of a hole on the floor of the trolley at the rate of 0.05kg s^(-1) . What is the speed of the trolley after the entire sand bag is empty?

A trolley of mass 30 kg carrying a sandbag of 25 kg is moving uniformly with a speed of 27 km/h on a frictionless track . After a while , sand starts leaking out of hole on the floor of the trolley of the rate of 0.05 " kg s"^(-1) .What is the speeed of the trolley after the entire sand bad is empty ?

A child sits stationary at one end of a long trolley moving uniformly with a speed V on a smooth horizontal floor. If the child gets up and runs about on the trolley in any manner, what is the speed of the CM of the (trolley + child) system ?

A car of mass 1200 kg travelling with speed of 60 km/h on a straight road is ahead of a scooter travelling with speed of 60 km/h, then what will the speed of centre of mass of these vehicles? Mass of scooter is 80kg

For a ball of mass 0.12 kg and moving with speed of 20 m/s .Calculate de-Broglie wave length.

A jet airplane travelling at the speed of 500 km h^(-1) ejects its products of combustion at the speed of 1500 km h–1 relative to the jet plane. What is the speed of the latter with respect to an observer on the ground ?

A railway coach of mass 8000 kg moving with speed of 54 ms^(-1) collide with rest coach of same like . Find the decrease in kinetic energy in this process.

A monkey of mass 20 kg rides on a 40 kg trolley moving at a constant speed of 8 m/s along a horizontal track. Frictional force can be neglected. If the monkey jumps vertically, with respect to the moving trolley, the catch the overhanging branch of tree, the speed of the trolley after the monkey has jumped off is :-