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A block of mass 4 kg is released from the top of an inclined smooth surface as shown in figure If spring constant of spring is `100M//m` and block comes to rest after compressiong spring by 1 m, find the distance travelled by the block before it comes t o rest. |
Answer» Let d be the distance travelled by block along the plane Height it comes down in downward direction, `h=d sin 30^(@).` When block comes to rest, decreases in its PE will be stored in the spring. `mgh1/2ky^(2)` (y is the compressin in t he spring) Let d be the distance travelled by the block along the plane and height it comes in downward direction is `h=d sin30^(@)` When block comes to rest, the decreases in its PE will be stored in the spring. `thereforemgh=1/2ky^(2)` (y is compression in spring) `mgd sin30=1/2ky^(2)` `4xx10xxd/2=1/2xx100xx1^(2)` `impliesd=2.5m` |
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