Chapter 11, Problem 62A

To determine

The height through stone will rise.

Answer to Problem 62A

25.625 m

Explanation of Solution

Given:

Constant net force, $F=410\text{ N}$

Weight of the stone, $mg=32\text{ N}$

Displacement of stone due to applied force, $s=2\text{ m}$

Formula Used:

Work done by constant force is given by,

  $W=F\cdot s$

Here, F is constant force and s is displacement.

Calculations:

Now, putting the value of F and s.

  $\begin{array}{l}W=410\times 2\\ =820\text{ J}\end{array}$

According to work energy theorem work done is equal to change in potential energy.

  $W=mg\Delta h$

Therefore,

  $\begin{array}{l}820=32\times \Delta h\\ \Delta h=\frac{820}{32}\\ =25.625\text{ m}\end{array}$

Conclusion:

Therefore, height to which stone will rise is 25.625 m