Question

5. A mechanic uses a hydraulic car jack to lift the front end of a car to change the oil. The jack she uses exerts 8915 N of force from the larger piston. To pump the jack, she exerts 444 N of force on the small piston, which has an area of 3.14 cm'. What is the area of the large piston?

Answer 1

The area of the large piston is approximately 63.61 cm².

Step-by-step explanation:

To find the area of the large piston, we can use Pascal's principle which states that the ratios of force to area in any hydraulic system are equal. According to the principle, the force exerted by the smaller piston (444 N) is equal to the force exerted by the larger piston (8915 N). So we can set up the equation:

Small piston force / Small piston area = Large piston force / Large piston area

444 N / 3.14 cm² = 8915 N / Large piston area

Solving for the area of the large piston, we get:

Large piston area = (8915 N * 3.14 cm²) / 444 N

Large piston area ≈ 63.61 cm²