Unit 5 - Problem 2 ==> Shock Absorbers

Given:

• $$\mbox{mass of the car} = 2,000  \mbox{kilograms}$$
• $$\mbox{four shock absorbers with four wheels}$$
• $$\mbox{each shock absorber has }  k = 100,000$$
• $$\mbox{gravity}  = 10$$

Rationale:

• $$F_{car} = m_{car} g$$
• $$F_{wheel} = \frac{F_{car}}{4}$$
• $$F_{shock-absorber} = k \Delta{x}$$
• $$F_{wheel} =  F_{shock-absorber}$$
• $$\frac{F_{car}}{4}= k \Delta{x}$$
• $$\Delta{x} = \frac{m_{car} g}{4 k}$$

Calculate:

• $$\Delta{x} = \frac{2000 * 10}{4 * 100,000}$$
• $$\Delta{x} = 0.05  \mbox{meters} = 5  \mbox{cm}$$