4. An archer fires an arrow from a bow. The arrow's mass is 0.082 kg, and an average force of 120 N is exerted by the bowstring over a 0.78 m distance. Calculate the velocity of the arrow just after it is released by the bowstring by two methods: a) Calculate the arrow's acceleration that is caused by the bowstring, and use the kinematic equations from the first week of class to calculate the velocity at the end of the acceleration. Assume a constant acceleration that corresponds to the given average force. b) Use the work-energy theorem to calculate the velocity.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 64P: If a single constant force acts on an object that moves on a straight line, the objects velocity is...
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What is the maximum speed that the car can travel at the top of the hill without losing contact with
the ground?Hint: consider the vertical forces on the car at the top of the hill. The sum of forces must
be equal to its mass times acceleration. At what minimum speed will the normal force of the hill on
the car be zero?
4. An archer fires an arrow from a bow. The arrow's mass is 0.082 kg, and an average force of
120 N is exerted by the bowstring over a 0.78 m distance. Calculate the velocity of the arrow
just after it is released by the bowstring by two methods:
a) Calculate the arrow's acceleration that is caused by the bowstring, and use the
kinematic eguations from the first week of class to calculate the velocity at the end of
the acceleration. Assume a constant acceleration that corresponds to the given
average force.
b) Use the work-energy theorem to calculate the velocity.
5. A truck traveling down the mountain loses its brakes. Fortunately, just ahead is a runaway
truck ramp, which slopes uphil at an angle of 30 degrees from horizontal. The truck has a
mass of 10,000 kg and is moving at a speed of 100 km/hr just before starting up the ramn
Transcribed Image Text:What is the maximum speed that the car can travel at the top of the hill without losing contact with the ground?Hint: consider the vertical forces on the car at the top of the hill. The sum of forces must be equal to its mass times acceleration. At what minimum speed will the normal force of the hill on the car be zero? 4. An archer fires an arrow from a bow. The arrow's mass is 0.082 kg, and an average force of 120 N is exerted by the bowstring over a 0.78 m distance. Calculate the velocity of the arrow just after it is released by the bowstring by two methods: a) Calculate the arrow's acceleration that is caused by the bowstring, and use the kinematic eguations from the first week of class to calculate the velocity at the end of the acceleration. Assume a constant acceleration that corresponds to the given average force. b) Use the work-energy theorem to calculate the velocity. 5. A truck traveling down the mountain loses its brakes. Fortunately, just ahead is a runaway truck ramp, which slopes uphil at an angle of 30 degrees from horizontal. The truck has a mass of 10,000 kg and is moving at a speed of 100 km/hr just before starting up the ramn
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