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Chapter 6: Q. 44 (page 156)
Compressed air is used to fire a 50 g ball vertically upward from a 1.0 m-tall tube. The air exerts an upward force of 2N on the ball as long as it is in the tube. How high does the ball go above the top of the tube?
The ball go 3.1 m above the top of the tube.
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A large box of mass is moving on a horizontal surface at speed 0 . A small box of mass m sits on top of the large box. The coefficients of static and kinetic friction between the two boxes are and , respectively. Find an expression for the shortest distance in which the large box can stop without the small box slipping.
Seat belts and air bags save lives by reducing the forces exerted on the driver and passengers in an automobile collision. Cars are designed with a 鈥渃rumple zone鈥� in the front of the car. In the event of an impact, the passenger compartment decelerates over a distance of about as the front of the car crumples. An occupant restrained by seat belts and air bags decelerates with the car. By contrast, an unrestrained occupant keeps moving forward with no loss of speed (Newton鈥檚 first law!) until hitting the dashboard or windshield. These are unyielding surfaces, and the unfortunate occupant then decelerates over a distance of only about . a. A person is in a head-on collision. The car鈥檚 speed at impact is . Estimate the net force on the person if he or she is wearing a seat belt and if the air bag deploys.
b. Estimate the net force that ultimately stops the person if he or she is not restrained by a seat belt or air bag
A football coach sits on a sled while two of his players build their strength by dragging the sled across the field with ropes. The friction force on the sled is , the players have equal pulls, and the angle between the two ropes is . How hard must each player pull to drag the coach at a steady?
An astronaut orbiting the earth is handed two balls that have identical outward appearances. However, one is hollow while the other is filled with lead. How can the astronaut determine which is which? Cutting or altering the balls is not allowed?
An object with cross section A is shot horizontally across frictionless ice. Its initial velocity is at . Air resistance is not negligible.
a. Show that the velocity at time t is given by the expression
b. A -wide, -high, car with a drag coefficient of hits a very slick patch of ice while going . If friction is neglected, how long will it take until the car鈥檚 speed drops to ? To ?
c. Assess whether or not it is reasonable to neglect kinetic friction.
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