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:

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