Chapter 6, Problem 74GP

To determine

The height achieved by the rock.

Answer to Problem 74GP

Solution: $4.41m.$

Explanation of Solution

This question is based on the concept of potential energy.

Given The mass of the rock is $m=1.85\text{kg}$

The work done on the rock is $W=80.0\text{kg}$

Formula used

The potential energy of the rock is $W=mgh$ , g is the acceleration due to gravity.

Calculations

Substitute the values of W , m and g in

  $W=mgh$

  $\begin{array}{l}80.0=1.85\times 9.8\times h\\ h=\frac{80.0}{1.85\times 9.8}\text{m}\\ h=4.41\text{m}\end{array}$

Conclusion:

The height attained by the rock can be calculated from the potential energy consideration.