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)

$WD=\Delta K$
$=\frac{1}{2}m{\left(\frac{v}{t_1}t\right)}^2$