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A block of 4kg mass starts at rest and s...

A block of `4kg` mass starts at rest and slides a distance `d` down a friction less incline ( angle `30^@`) where it runs into a spring of negligible mass. The block slides an additional `25cm` before it is brought to rest momentarily by compressing the spring. The force constant of the spring is `400Nm^-1`. The value of `d` is (take `g=10ms^-2`)

A

(a) `25cm`

B

(b) `37.5cm`

C

(c) `62.5cm`

D

(d) None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
`W_(gravity)=DeltaU_(spri ng)`
`mg sin theta(d +0.25)=1/2k(0.25)^2`
which gives `d=37.5cm`
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