Question

When equal forces are acting on two different bodies, the acceleration varies directly with the mass of the body. Explain in terms of formula.

• A. $a=\frac{1}{2m}$
• B. $a=\frac{1}{m}$
• C. $a=\frac{1}{3m}$
• D. $a=\frac{1}{4m}$

Answer 1

Answer: (B)

$a=\frac{1}{m}$

Force is given by $F=ma$.

so, if first body has mass $m_1$ . so,

$F=m_1{a}_1$..........................(1)

If the second body has mass $m_2$,

$F=m_2{a}_2$.........................(2)

Equal force is applied on both the bodies,

so,

$a$ is proportional to$\frac{1}{m}$