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A body B of mass M is at rest on frictionless straight line. A body A of mass 2kg moves...
A body B of mass M is at rest on frictionless straight line. A body A of mass 2kg moves at speed of 6m/s and collided with B. After collision, A moves to left at speed of v, and B moves at the same speed v to the right . Let the coefficient of restitution be 1 (perfect elastic),
Find the mass M of the body B
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`rarrV_A = 6m/s`
`rarrV_B = 0`
`rarrV_A = -v` (since A moves left)
`rarrV_B = v`
Using the conservation of momentum at `rarr ` direction;
`2xx6 = Mxxv-2xxv -----(1)`
Using the Newton's law of restitution at `rarr` direction;
`v-(-v) = 1(0+6)`
`2v = 6`
`v = 3`
`12 = 3M-6`
`M = 2`
So the mass of B is 2kg.
Posted by jeew-m on July 5, 2013 at 12:37 PM (Answer #1)
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