Question

A trolley is being pulled up an incline plane by a man inside the trolley. He applied a force of $500N$. If the mass of the man is $50kg$ and trolley is $150kg$, then the acceleration of the trolley will be:
$(g=10m/s^2)$

• A. $5m/s^2$
• B. $1m/s^2$
• C. $1.5m/s^2$
• D. $2.5m/s^2$

Answer 1

The correct option is D $2.5m/s^2$

$\text{Given,}$

$3T-200\times 10\times \frac{1}{2}=200a$

$\Rightarrow 3\times 500-1000=200a$

$\Rightarrow 1500-1000=200a$

$\Rightarrow 500=200a$

$\Rightarrow a=\frac{500}{200}$

$\therefore a=2.5{ms}^{-2}$

$\text{option (D) is correct.}$