Question

The work done by a person in carrying a box of mass 10 kg through a vertical height of 10 m is 4900 J. The mass of the person is -

• A. 60 kg
• B. 50 kg
• C. 40 kg
• D. 130 kg

Answer 1

The correct option is C. 40 kg

Let the mass of the person be 'M'

Work done = $\overrightarrow{F}.\overrightarrow{S}$

So, The work done by a person in carrying a box of mass 10 kg through a vertical height of 10 m $=(M+10)gH$

$W=(M+10)\times 9.8\times 10=4900J$ (Given)

$\Rightarrow M+10=50\Rightarrow M=40kg$

Therefore, C is correct option.