Question

Please help me with this! I need to prep for Physics Midterms!!!

Answer 1

Given,

The force acting on the mass m is F.

The acceleration of mass m is a.

The force acting on the mass 20m is 10F.

From Newton's second law,

`F=ma`

Therefore,

`10F=10(ma)\text{ }\rightarrow\text{ (i)}`

From Newton's second law, the force acting on the mass 20m is given by,

`10F=20m* a_0\text{ }\rightarrow\text{ (ii)}`

Where a₀ is the acceleration of the mass 20m

On substituting the equation (i) in equation (ii),

`\begin{gathered} 10* ma=20m* a_0 \\ \Rightarrow a_0=(10* ma)/(20m) \\ =(a)/(2) \end{gathered}`

Thus the resulting equation is a/2.

Therefore, the correct answer is option A.