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A wedge is placed on a smooth horizontal...

A wedge is placed on a smooth horizontal plain and a rat runs on its sloping side. The velocity of the wedge is `v=4ms^(-1)` towards the right. What should be the velocity of the rat with respect to the wedge `(u)`, so that the rat appears to ,move in the vertical direction to an observer stading on the ground?

A

`2ms^(-1)`

B

`4ms^(-1)`

C

`8ms^(-1)`

D

`4sqrt(2)ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`vecv_r=vecv_(rw)+vecv_w`
`v/u=costheta`
`implies implies u=v/(costheta)=4/(cos60^@)=8m//s`
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