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A ball is suspended from the top of a ca...



A ball is suspended from the top of a cart by a string of length 1.0m. The cart and the ball are initially moving to the right at constant speed V, as shown in figure I. The cart comes to rest after colliding and sticking to a fixed bumper, as in figure II. The suspended ball swings through a maximum angle `60^@`. The initial speed V is `(take`g=10(m)/(s^2)`)

A

`sqrt(10)(m)/(s)`

B

`2sqrt(5)(m)/(s)`

C

`5sqrt(2)(m)/(s)`

D

`4(m)/(s)`

Text Solution

Verified by Experts

The correct Answer is:
A
As string does no work on the ball, energy conservation can be applied
`(1)/(2)mV^2=mg(L-Lcostheta)`
`V=sqrt(2gL(1-costheta))`
On putting values `V=sqrt(10)(m)/(s)`
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