Question

Tas watches as his uncle changes a flat tire on a car. His uncle raises the car using a machine called a jack. Each time his uncle pushes down on the jack handle, the car rises up. Tas sketches the jack and labels it using the symbols F, to represent force, and d, to represent distance. He uses large and small letters to compare the sizes of the forces and distances.
Which set of labels is correct for the side of the jack that Tas’s uncle pushes on?

A-a large F and a small d
B-a small F and a small d
C-a large F and a large d
D-a small F and a large d

Answer 1

Answer:

D) -a small F and a large d

Explanation:

As per Pascal's law we know that the pressure applied to any point of the fluid is equally transmitted to all points of the fluid.

So here we can say that when we apply some pressure at the input point then that pressure will be equally transmitted to all points

So here we have

$P = \frac{F_{in}}{A_{in}} = \frac{F_{out}}{A_{out}}$

so here in order to have large output force we can say

$F_{out} = \frac{F_{in}}{A_{in}}\times A_{out}$

so we need to apply smaller force so that we will get bigger value of the distance that the jack will move upwards.

so correct answer will be

D)-a small F and a large d

Answer 2

Hydraulic jacks work based off of Pascal's Principle, which states that pressure is equal throughout an enclosed container. When force is applied to the small cylinder, the pressure in the cylinder gets greater. By Pascal's Principle, this means pressure in the larger cylinder gets greater as well. so the correct answer is a small F and a large d