Question

A block of mass $10\text{kg}$ is placed on rough horizontal surface whose coefficient of friction is $0.5$. If a horizontal force of $100N$ is applied on it, then acceleration of block will be [Take $g=10{\text{ms}}^{-2}$]

• A. $10{\text{ms}}^{-2}$
• B. $5{\text{ms}}^{-2}$
• C. $15{\text{ms}}^{-2}$
• D. $0.5{\text{ms}}^{-2}$

Answer 1

The correct option is B $5{\text{ms}}^{-2}$


Here, $m=10\text{kg},g=10{\text{ms}}^{-2},\mu =0.5,F=100N$
Force of friction, $f=\mu N=\mu mg$
$=0.5\times 10kg\times 10m{s}^{-2}=50N$
Force that produces acceleration
$a=\frac{F^{\prime }}{m}=\frac{50N}{10\text{kg}}=5{\text{ms}}^{-2}$.