A computer can show you how it is done and how they got to that solution while a graphing calculator can only show you the solution.
Answer:
The hydraulic lift and the hydraulic brake are virtually the same machine. Both of them use some means of applying pressure to a hydraulic fluid that forces a piston or pistons elsewhere to move outward with greater force. There are only two differences between the hydraulic lift and the hydraulic brake. One is that all the push is delivered by one cylinder in a lift and by either two or four cylinders in a brake system. The other difference is that in a hydraulic lift the pump moves the lift piston out in a series of movements while in a brake system the brake pedal moves the brake pistons out in one short movement.
As fluid is forced into the lift cylinder it forces the lift piston upward. The lift cylinder is a lot wider than the pump cylinder. This means that the area of the lift piston is a lot greater than the area of the pump piston. Because Pascal's Principle guarantees that the pressure in a fluid is the same everywhere and the area that pressure is applied over is greater at the lift cylinder, the force applied by the lift cylinder must be greater. The hydraulic lift takes the long low-force motions of the pump piston and converts then into short high-force motions of the lift cylinder.
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F = m • a
What we know:
- Gravity: 9.8 m/s
- Force: 490 N
Equation derived:
m = F/a
m = 490/9.8
= 50 kg
Answer:
a = v^2 / R centripetal acceleration
R = v^2 / a a at the surface of earth is 9.8 m/s^2
R = (90 m/s)^2 / 9.8 m/s^2 = 827 m
