A particle A of mass m initially at rest slides down a height of 1.25 m on a frictionless ramp, collides with and sticks to an identical particle B of mass m at rest as shown in the figure.
Then, particles A and B together collide elastically with particle C of mass 2m at rest. The speed of particle C after the collision with combined body (A + B) would be (Take, $g = 10 {ms}^{- 2}$ )

Question

A particle A of mass m initially at rest slides down a height of 1.25 m on a frictionless ramp, collides with and sticks to an identical particle B of mass m at rest as shown in the figure.

Then, particles A and B together collide elastically with particle C of mass 2m at rest. The speed of particle C after the collision with combined body (A + B) would be (Take, $g = 10 {ms}^{- 2}$ )

Infinity Learn · Accepted Answer

Velocity of A just before collision                 $$=2gh=2$$×$$10$$×$$1.25=5$$ $$ms-1Velocity$$ of (A$$ $$+$$ $$B) just after collision $$=52=2.5$$ $$ms-1In$$ elastic collision between two bodies of equal masses, velocities are interchanged.Hence, velocity of C will become $$2.5$$ $$ms-1$$

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material