Question

1. A hydraulic lift uses a compressor to compress the hydraulic fluid with a moving piston (piston A) of radius RA = 4.83 cm. A second piston (piston B) of radius RB = 18.48 cm is used at the lift to lift cars. What force must be applied by piston A to lift a 14,871N car with piston B?

2. When a 0.438 kg mass is hung from a certain spring it stretches 0.119 m to its equilibrium position at point P. If this mass is pulled down 0.155 m from point P and released, what is the magnitude of the velocity in m/s of this mass 0.0378 m from point P?

3. When a 0.481 kg mass is hung from a certain spring it stretches 0.156 m to its equilibrium position at a point P. If this mass is pulled down 0.14 m from point P and released, what is the magnitude of the maximum acceleration of the mass in m/s²?

4. Water (Density_water = 1,000 kg/m³) flows through a pipe that narrows. At point A it is determined that the water flows with a velocity of _VA = 98 m/s. At point B it is determined that the water flows with a velocity of V_B = 220 m/s.What is the nagnitude of the difference in pressure between points A and B.

5. It is determined that for a certain piano string waves travel with a velocity of 293 m/s. What is the frequency of vibration of this string (which is attached at both ends) if it is 0.71 meters long and has 4 nodes?

6. A pipe with an internal diameter of 2.41 cm attaches to a hose with an internal diameter of 1.188 cm. It is determined that water flows through the pipe with a velocity of 0.706 m/s. With what velocity does the water flow through the hose?

7. Two trains pass each other. Train A is traveling 32 m/s east. Train B is traveling 19 m/s west. After the trains pass each other train A blows its whistle with a frequency of 554 Hz. What frequency does a person on train B hear? Assume 343 m/s as the speed of sound.

Answer 1