Question 95: Laws of Motion

Question

All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass $2 \mathrm{~kg}$ is :
![](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lshfe4i3/5c7622f4-9684-4975-b99d-6b1f7816a284/3159c1b0-c8d1-11ee-adc8-974b9031006b/file-6y3zli1lshfe4i4.png?format=png)

Accepted Answer

$\begin{aligned}
& 40-2 \mathrm{~T}=4 \mathrm{a} \\
& \mathrm{T}-10=4 \mathrm{a} \Rightarrow 20=12 \mathrm{a} \\
& \Rightarrow \mathrm{a}=5 / 3 \Rightarrow 2 \mathrm{a}=\frac{g}{3}
\end{aligned}$
![](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lsqm3q74/65d5bd2b-cae9-4e47-af5e-ca877e75a4d8/7df53600-cdde-11ee-a0d3-7b75c4537559/file-6y3zli1lsqm3q75.png?format=png)

Answer

$\mathrm{\frac{g}{2}}$

Answer

$\mathrm{\frac{g}{4}}$

Answer

$\mathrm{g}$

Answer

$\mathrm{\frac{g}{3}}$

Laws of Motion

All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass 2 \mathrm{~kg} is :

Choose the correct answer: