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1. A 2150-kg elevator carries a 90-kg man from the ground up to the top floor of a building in 45 seconds. In doing so, the elevator develops 73000 W of power. How high was the man carried?
(73000 W) (45 s) = 3285 kJ
(9.8 m/s ^2) (2240 kg) = 21952 N
3285 kJ / 21952 N = 149.64 m
2. A 600-kg car traveling at 163 km/hr collides head-on with a 1000-kg parked car. If the cars stick together after impact, how fast are they then traveling? What is their kinetic energy?
(1000 kg) (163 km/h) = (600 kg + 1000 kg) (101.875 km/h)
½ (1600 kg) (101.875) = 8302812 J
3. A 500-g ball rest on top of a tower, 15 meters tall. Calculate its potential and kinetic energies a) when the ball rests on top of the tower, b) after the ball has fallen 10 meters toward the ground, c) 1 meter above the ground.
a. KE = 0
PE = (.5 kg) (9.8 m/s^2) (15 m)
PE = 73.5 J
b. KE = ½ (.5 kg) (196 m/s)
KE = 49 J
PE = (.5 kg) (9.8 m/s^2) (5 m)
PE = 24.5 J
c. KE = ½ (.5 kg) (274.4 m/s)
KE = 68.6 J
PE = (.5 kg) (9.8 m/s^2) (1 m)
PE = 4.9 J
(73000 W) (45 s) = 3285 kJ
(9.8 m/s ^2) (2240 kg) = 21952 N
3285 kJ / 21952 N = 149.64 m
2. A 600-kg car traveling at 163 km/hr collides head-on with a 1000-kg parked car. If the cars stick together after impact, how fast are they then traveling? What is their kinetic energy?
(1000 kg) (163 km/h) = (600 kg + 1000 kg) (101.875 km/h)
½ (1600 kg) (101.875) = 8302812 J
3. A 500-g ball rest on top of a tower, 15 meters tall. Calculate its potential and kinetic energies a) when the ball rests on top of the tower, b) after the ball has fallen 10 meters toward the ground, c) 1 meter above the ground.
a. KE = 0
PE = (.5 kg) (9.8 m/s^2) (15 m)
PE = 73.5 J
b. KE = ½ (.5 kg) (196 m/s)
KE = 49 J
PE = (.5 kg) (9.8 m/s^2) (5 m)
PE = 24.5 J
c. KE = ½ (.5 kg) (274.4 m/s)
KE = 68.6 J
PE = (.5 kg) (9.8 m/s^2) (1 m)
PE = 4.9 J
