4. The parking brake fails on a parked car at the top of a hill and it rolls down the hill¹. At that same moment an SUV is coming down a cross street at the bottom of the hill, moving at 30 miles per hour. (See diagram below.) The mass of the car is 1000 kg. The mass of the SUV is 3000 kg. a) Find the speed of the car when it reaches the bottom of the hill. b) The car and SUV collide and move off together. Find their velocity immediately after the collision. ¹ Note that the wheels of a car are so much lighter than the car itself that their rotation is negligible. In short, a rolling car acts like a sliding object, not like a rolling object. W. View from Above N E Hill Side View of the Hill 10m 40°

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4. The parking brake fails on a parked car at the top of a hill and it rolls down the hill ¹. At
that same moment an SUV is coming down a cross street at the bottom of the hill,
moving at 30 miles per hour. (See diagram below.) The mass of the car is 1000 kg. The
mass of the SUV is 3000 kg.
a) Find the speed of the car when it reaches the bottom of the hill.
b) The car and SUV collide and move off together. Find their velocity immediately after
the collision.
¹ Note that the wheels of a car are so much lighter than the car itself that their rotation is negligible. In short, a
rolling car acts like a sliding object, not like a rolling object.
W.
View from Above
N
E
Hill
Side View of
the Hill
10m
40°
Transcribed Image Text:4. The parking brake fails on a parked car at the top of a hill and it rolls down the hill ¹. At that same moment an SUV is coming down a cross street at the bottom of the hill, moving at 30 miles per hour. (See diagram below.) The mass of the car is 1000 kg. The mass of the SUV is 3000 kg. a) Find the speed of the car when it reaches the bottom of the hill. b) The car and SUV collide and move off together. Find their velocity immediately after the collision. ¹ Note that the wheels of a car are so much lighter than the car itself that their rotation is negligible. In short, a rolling car acts like a sliding object, not like a rolling object. W. View from Above N E Hill Side View of the Hill 10m 40°
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