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Two bodies collide as shown in figure. D...

Two bodies collide as shown in figure. During collision they exert impulse of magnitude J on each other.

For what values of J (in N-s) the 2 kg block will change its direction of velocity ?

A

`J lt 12`

B

`J gt 12`

C

`J lt 10`

D

`J gt 10`

Text Solution

Verified by Experts

The correct Answer is:
B
By applying conservation of momentum
`2(6) + 1(4) = 1v_(2) + 2v_(1), 16 = v_(2) + 2v_(1)` ….(i)
By applying newton law of collision
`1 = (v_(2) - v_(1))/(2) rArr v_(2) - v_(1) = 2` ……(ii)
`rArr v_(2) = (20)/(3), v_(1) (14)/(3)`
To change the direction of a block impulse should be greater than `12 N-s`
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