Question

A weight lifter of power $1960watt$ lifts a load of mass $M$ from the ground to a height of $2m$in $3seconds$. The value of $M$ is

• A. $100kg$
• B. $200kg$
• C. $300kg$
• D. $400kg$

Answer 1

The correct option is C

$300kg$

Step 1: Given data

Power of weight lifter is $P=1960Watt$

Height attained by the body is $h=2m$

Time taken is $t=3seconds$

Acceleration due to gravity is $g=9.8m{s}^{-2}$

Step 2: Finding the mass of the load

We know that,

$$\begin{gathered} Power=\frac{Workdonebypotentialenergy}{time} \\ P=\frac{Mgh}{t} \\ M=\frac{Pt}{gh} \\ M=\frac{1960\times 3}{9.8\times 2} \\ M=300kg \end{gathered}$$

Thus, the mass of the load is 300 kg

Hence, option (c) is correct.