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

Answer 1

Answer: 40 kg

Explanation:

Work done by the person in carrying the object to a height= potential energy

$W=mgh$

where, m is the mass (mass of the person+ mass of the object), g is acceleration due to gravity and h is the height.

It is given that the mass of the object, $m_1=10 kg$

Height to which the object is raised, $h=10 m$

work done, $W=4900 J$

$\Rightarrow (m_1+m_2)gh=W\\ \Rightarrow (10kg+m_2)\times 9.8 m/s^2 \times 10 m=4900 J\\ \Rightarrow m_2=(\frac{4900}{98}-10) kg=(50-10) kg=40 kg$