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A solid sphere of mass 0.1kg and radius ...

A solid sphere of mass 0.1kg and radius 2cm rolls down an inclined plane 1.4m in length (slope 1 in 10). Starting from rest, what will be its final velocity?

A

1.4m/sec

B

0.14 m/sec

C

14m/sec

D

0.7 m/sec

Text Solution

Verified by Experts

The correct Answer is:
A
`v= sqrt((2gh)/(1+ (k^(2))/(R^(2))))= sqrt((2 xx 9.8 xx l sin theta)/(1+ (2)/(5)))` [As `(k^(2))/(R^(2))= (2)/(5), l = (h)/(sin theta) and sin theta= (1)/(10)` given ]
`rArr v= sqrt((2 xx 9.8 xx 1.4 xx (1)/(10))/(7//5))= 1.4m//s`
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