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A block of mass 10kg is placed on a roug...

A block of mass `10kg` is placed on a rough horizontal surface having coefficient of friction `mu=0.5` . If a horizontal force of `100N` is acting on it, then acceleration of the will be.

A

0.5`m//s^2`

B

10`m//s^2`

C

5`m//s^2`

D

15`m//s^2`

Text Solution

Verified by Experts

The correct Answer is:
C


`F=100N,mu=0.5,m=10kg` and `g=10m//s^2`
The force fo friction (f)`=muR=mumg` opposes the applied force F.
`:.` Resultant force=F-`muR`
`:." "mxxa=F-mumg`
`:." "a=(F-mug)/m=(100-0.5xx10xx10)/(10)`
`:." "a=(50)/(10)=5m//s^2`
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