KVPY 2019 SB SX Exam Previous Papers

Question : 23 of 120

Marks: +1, -0

A spherical rigid ball is released from rest and starts rolling down an inclined plane from height h = 7 m, as shown in the figure. It hits a block at rest on the horizontal plane (assume elastic collision). If the mass of both the ball and the block is m and the ball is rolling without sliding, then the speed of the block after collision is close to

6 m/s
8 m/s
10 m/s
12 m/s

Validate

Solution:

mgh =1/2mv^2+1/2Iω^2

I=2/5mR^2

v = Rω

⇒

v=√{{10gh}/7}=10

m/ s
On elastic collision with block velocity will interchange speed of block after collision is 10 m/s.

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