Question

The figure shown represents a painter in a swing by the side of a building. When the painter pulls the string then the force applied on the surface is $450N$, whereas the weight of painter is $100N$. If the weight of the swing is $250N$ then the acceleration produced in the swing will be:

• A. $4m{s}^{-2}$
• B. $2m{s}^{-2}$
• C. $5m{s}^{-2}$
• D. $6m{s}^{-2}$

Answer 1

Answer: (B)

$2m{s}^{-2}$

Tension in the rope $=450-100=350N$
Taking swing and the painter as a system
Net force on system $=2T=2\ast 350=700N$
So, Acceleration of system$=\frac{700}{\left(massofsystem\right)}=\frac{700}{(100+250)}=2m{s}^{-2}$