Question

Two masses of 10 kg and 5kg are suspended from a rigid support as shown in figure. The system is pulled down with a force of 150 N attached to the lower mass. The string attached to the support breakes and the system accelerates downwards. If the downward force continues to act, what is the acceleration of system?

• A. $20m{s}^{-2}$
• B. $10m{s}^{-2}$
• C. $3.5m{s}^{-2}$
• D. Zero

Answer 1

The correct option is A $20m{s}^{-2}$

Given,

Two masses $10kg,5kg,$

$Force=150N$

So the acceleration of the system is $a=\frac{F_{net}}{m_1+m_2}\Rightarrow \frac{F+(m_1+m_2)g}{m_1+m_2}$

$=\frac{150+(10+5)\times 10}{10+5}=\frac{300}{15}=20$ m/s${}^2$