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------------------------------------------------ A hydraulic lift is used to lift a car that weighs 3700 N. The car is pushing down on a 2.8 m\(^2\) platform. Calculate the force that must be exerted on a 0.072 m\(^2\) piston in order to lift the car.

a) 134.26 N
b) 651.39 N
c) 730.55 N
d) 2568.75 N

The force needed to lift a car using a hydraulic lift can be calculated using Pascal's principle. By knowing the areas of the pistons and the weight of the car, we can determine the force on the smaller piston needed to lift the car. Option is

d) 2568.75 N .

Explanation:

To calculate the force required to lift the car using a hydraulic lift, we can use Pascal's principle:

A∙F = A∙W, where A represents the cross-sectional areas of the pistons and F is the force needed on the smaller piston to lift the car with weight W. Given the areas of the pistons and the weight of the car, we can find the force to be exerted on the smaller piston, which is (D) 2568.75 N.