1. A horse pulls a cart with a force of 170.0 N at and angleof 28.0 o with respe

Question

1. A horse pulls a cart with a force of 170.0 N at and angleof 28.0o with respect to the horizontal and moves along at aspeed of 12.0 km/hr. How much work does thehorse do in 12.5 min? What isthe average power of the horse?
2. A69-kg diver is 4.9 m above the water,falling at 4.3 m/s. Calculate herkinetic energy as she hits the water. How much work does thehorse do in 12.5 min? What isthe average power of the horse?
2. A69-kg diver is 4.9 m above the water,falling at 4.3 m/s. Calculate herkinetic energy as she hits the water.

Explanation / Answer

(12 km/hr)(1000m/1km)(1hr/3600s) = 3.33m/s (12.5min)(60s/1min) = 750s distance = vt distance = (3.33m/s)(750s) = 2497.5m Horizontal force on cart: 170cos(28) = 150.1N Work = Fd Work = (150.1)(2497.5) = 374874.75 J = 374.87 kJ Power = Work/time Power = 374874.75/750 = 500 watts T1 + U1-2 = T2 0.5mV2 + mgh = T2 T2 = 0.5*69*4.32 + 69*9.81*4.9 = 3954.666J

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