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Fqual net forces ant on two different bl...

Fqual net forces ant on two different block (A) and (B) masses (m) and 4(m) respectively For same displacement, identify the correct statement.

A

Their kinetic energies are in the ratio `(K_(A))/(K_(B)) = (1)/(4)`

B

Their speeds are in the ration `(v_(A))/(v_(B)) = (1)/(1)`

C

Work done on the block are in the ratio `(W_(A))/(W_(B)) = (1)/(1)`

D

All of the above

Text Solution

Verified by Experts

The correct Answer is:
C
`W =FS`
`F` and `S`are same. Therefore,
`W_(A)/K_(B)=1/1` From work energy theorem,
`K_(A)/(K_(B))=W_(A)/(W_(B))=(1)/(1)`
`1/2 m_(A)v_(A)^(2) =1/2 m_(B) v_(B)^(2)`
`:. (v_(A))/v_(B) =sqrt((m_(B))/(m_(A))) =2/1`.
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