Question

Work done in time $t$ on a body of mass $m$ which is accelerated from rest to a speed $v$ in time $t_{1}$ as a function of time $t$ is given by-

• A. $\frac{1}{2}m\frac{v}{t_{1}}t^{2}$
• B. $m\frac{v}{t_{1}}t^{2}$
• C. $\frac{1}{2}m\left(\frac{mv}{t_{1}}\right)^{2}t^{2}$
• D. $\frac{1}{2}m\frac{v^{2}}{t_{1}^{2}}t^{2}$

Answer 1

Answer: (D)

$WD=\Delta K$
$=\frac{1}{2}m\left(\frac{v}{t_{1}} t\right)^{2}$