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There are two blocks A and B placed on a...

There are two blocks A and B placed on a smooth surface. Block A has mass 10 kg and its is moving with velocity 0.8 m/s towards stationary B of unknown mass. At the time of collision, their velocities are given by the following graph :

Maximum deformation potential energy is :

A

1.2 J

B

3.2 J

C

2.0 J

D

1.6 J

Text Solution

Verified by Experts

The correct Answer is:
A

`m_(A)xx0.8 =m_(A)xx0.2 +m_(0)xx1.0`
`m_(A)xx0.6 m_(B)xx1.0 m_(B)=0.6 m_(A)`
`e=(1-0.2)/(0.8)=1=1.5`
`I_(d)=6xx0.5-6xx0=3N-5=10xx(0.8-0.5)=10xx0.3 = 3NS`
`Delta U=(1)/(2)xx10xx(0.8)^(2)-(1)/(2)xx16xx(0.5)^(2)=5`
`xx0.64 8 xx0.25=3.2 -2.0=1.2J`.
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