ou are assigned to do some calculations for a movie stunt that involves a car on a straight road. The road, pictured above, has a hill that rises 8.0 m above the flat region. The top of the hill is a circular arc of radius 20 m. You need to determine whether a car traveling under certain conditions will lose contact with the road at the top of the hill. There is a stop sign 50 m from the beginning of the hill. You are to assume that a car of mass 1600 kg accelerates uniformly from rest at the stop sign, has a speed of when it reaches the beginning of the hill, and then coasts with the engine off. Assume energy losses due to friction and air resistance are negligible. Calculate the magnitude of the acceleration of the car during the first 50 m. Calculate the time it takes the car to reach the beginning of the hill. Calculate the magnitude of the net force required to accelerate the car during the first 50 m

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 21P: A cyclist rides 5.0 km due east, then 10.0 km 20 west of north. From this point she rides 8.0 km due...
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You are assigned to do some calculations for a movie stunt that involves a car on a straight road. The road, pictured above, has a hill that rises 8.0 m above the flat region. The top of the hill is a circular arc of radius 20 m. You need to determine whether a car traveling under certain conditions will lose contact with the road at the top of the hill. There is a stop sign 50 m from the beginning of the hill. You are to assume that a car of mass 1600 kg accelerates uniformly from rest at the stop sign, has a speed of when it reaches the beginning of the hill, and then coasts with the engine off. Assume energy losses due to friction and air resistance are negligible.

  1. Calculate the magnitude of the acceleration of the car during the first 50 m.
  2. Calculate the time it takes the car to reach the beginning of the hill.
  3. Calculate the magnitude of the net force required to accelerate the car during the first 50 m.
Stop Sign
17 m/s
8.0 m
20 m
50 m
Transcribed Image Text:Stop Sign 17 m/s 8.0 m 20 m 50 m
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