Power - All mixed up A 2340 kg car speeds up from 12 m/s to 25 m/s in 4.6 seconds on the level. What power?

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Presentation transcript:

Power - All mixed up A 2340 kg car speeds up from 12 m/s to 25 m/s in 4.6 seconds on the level. What power?

Power - All mixed up An elevator motor takes a 780 kg car and speeds it up from rest to 5.4 m/s lifting it 4.1 m in 1.51 s. Power = ?

Iwanna Ferrari stretches a 150 N/m spring a distance of 1. 35 m in Iwanna Ferrari stretches a 150 N/m spring a distance of 1.35 m in .53 seconds. What is her average power output? Eelas = 1/2kx2 Power = work/time = (1/2kx2)/t 1/2(150 N/m)(1.35 m)2/(.53 s) = 257.9 W = 260 W 260 W

A 1520 kg car speeds up from 20. m/s to 30. m/s on the level A 1520 kg car speeds up from 20. m/s to 30. m/s on the level. What time will it take with a 34 kW engine? Ek = 1/2mv2 Change in energy = work = 1/2mv2 - 1/2mu2 = 1/2(1520 kg)(30. m/s)2 - 1/2(1520 kg)(20. m/s)2 work = 380,000 J power = work/time, time = work/power = (380,000 J)/(34,000 J/s) = 11.17 s 11 s

A 1452 kg car is going 11. 0 m/s at the top of a 9. 20 m tall hill A 1452 kg car is going 11.0 m/s at the top of a 9.20 m tall hill. What is the power output of the engine if it is going 22.0 m/s at the bottom of the hill 13.0 seconds later? Total at top: = 1/2(1452 kg)(11.0 m/s)2 + (1452 kg)(9.8 N/kg)(9.20 m) Total at top: = 218758.32 J Total at bottom: = 1/2(1452 kg)(22.0 m/s)2 = 351384 J Work = Change = 351384 J - 218758.32 J = 132625.68 J Power = work/time = (132625.68 J)/(13.0 s) = 10201 W = 10.2 kW 10.2 kW