A repair shop uses a single hydraulic piston to raise a car

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

A repair shop uses a single hydraulic piston to raise a

1.20\times10^{3}\,\text{kg}

car. The hydraulic fluid can safely sustain a maximum gauge pressure of

1.6\times10^{6}\,\text{Pa}

. Regulations require a

25\%

safety factor on the lifting force. Determine the minimum piston area that will meet the safety requirement. (Take

g = 9.8\,\text{m}\,\text{s}^{-2}

.) (a)

7.3\times10^{-3}\,\text{m}^2

(b)

9.4\times10^{-4}\,\text{m}^2

(c)

9.2\times10^{-3}\,\text{m}^2

(d)

1.1\times10^{-2}\,\text{m}^2