Chapter 11, Problem 8STP

To determine

To Calculate: The maximum height reached by the box.

Answer to Problem 8STP

  $0.5\text{m}$

Explanation of Solution

Given:

Mass of the box, $m=1.0\text{kg}$

Work done on the box, $W=4.9\text{J}$

Formula Used:

Work done by the spring would be converted to gravitational potential energy:

  $W=mgh$

Where, m is the mass, g is the gravitational acceleration and h is the height.

Calculations:

Substitute the values and solve:

  $\begin{array}{l}W=mgh\\ 4.9\text{J}=\left(1.0\text{kg}\right)\left(9.8{\text{m/s}}^{\text{2}}\right)h\\ \Rightarrow h=\frac{4.9}{9.8}=0.5\text{m}\end{array}$

Conclusion:

Thus, the maximum height reached by the box is $0.5\text{m}$ .