A car, whose mass is 2000 kg, is raised on a hydraulic lift that has a piston of radius 0.15 m. The pressure required to lift the car is

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Quizplus · Accepted Answer

The pressure required to lift the car can be calculated using the formula $P = \frac{F}{A}$, where $P$ is the pressure, $F$ is the force (in this case, the weight of the car), and $A$ is the area of the piston. The force due to the weight of the car is given by $F = mg$, where $m$ is the mass of the car (2000 kg) and $g$ is the acceleration due to gravity (approximately 9.8 m/s$^2$). The area of the piston can be calculated using the formula for the area of a circle, $A = \pi r^2$, where $r$ is the radius of the piston (0.15 m). Substituting the given values, we find:$$F = 2000 \times 9.8 = 19600 \, \text{N}$$$$A = \pi \times (0.15)^2 = 0.0706858 \, \text{m}^2$$$$P = \frac{19600}{0.0706858} \approx 277,400 \, \text{Pa} = 277.4 \, \text{kPa}$$Rounding to the nearest whole number gives 280 kPa, making option A the correct answer.

A Car, Whose Mass Is 2000 Kg, Is Raised on a Hydraulic