Chapter 14, Problem 50R

To determine

The force exerted on the smaller piston to lift the box.

Answer to Problem 50R

The force exerted on the smaller piston to lift the box is $40\text{N}$ .

Explanation of Solution

Given info:

Weight of the heavy box, $W=1500\text{N}$

Area of the large piston, $A=3{\text{m}}^2$

Area of the smaller piston, $a=0.08{\text{m}}^2$

Formula Used:

Write the expression to calculate the force exerted on the smaller piston to lift the box.

  $F=\frac{W\cdot a}{A}$

Calculation:

Substitute all the values in the above expression.

  $\begin{array}{c}F=\frac{\left(1500\text{N}\right)\left(0.08{\text{m}}^2\right)}{3{\text{m}}^2}\\ =40\text{N}\end{array}$

Conclusion:

Thus, the force exerted on the smaller piston to lift the box is $40\text{N}$ .