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A car of mass 1100 kg starts from rest at sea level and climbs a hill...

A car of mass 1100 kg starts from rest at sea level and climbs a hill of height 50.0 m. At the top of the hill, the car has a speed of 25.0 m/s, and at this instant, the driver shuts off the engine of the car. The car then coasts down the other side of the hill to height of 15.0 m above sea level. Assume that friction and air resistance are negligibly small. a) (6 pts) How much work is done by the engine of the car? b)How fast is the car going as it coasts down the hill and reaches a height of 15.0 m? c)After passing this point 15.0 m above sea level, and with the engine still off, the car begins to coast up the next hill. What is the maximum height the car could reach as it coasts up the next hill? d)In reality, friction and air resistance are not zero. If the work needed to overcome friction and air resistance is 5.20 × 105 joules, your answer to part (a) would change. In this case, how much work is done by the engine of the car, if it is to still reach the top of the 50.0 m at a speed of 25.0 m/s? e) In part (d), the car reaches the top of the hill in 80.0 seconds. How much power does the engine provide?

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