2. A Ford F-150 pick-up truck is going up Gospel Hill towing a trailer. The mass of the pick-up truck is 2M and the mass of the trailer is M. The hill is inclined at an angle of 6 from horizontal. Neglect any friction force between the trailer and the road. The driver steps on gas, accelerating up the hill with an acceleration of magnitude a. The truck does not slip. a. Draw the FBDs for the truck, the cart, and the system. b. What is the friction force between the truck and the road? Follow the free body diagram method for the system. c. What is the force that the truck hitch exerts on the trailer? Follow the free body diagram method for the trailer. +y d. The truck starts slipping when the acceleration reaches 1.5 g sin 8. What is the coefficient of static friction between the road and the tires? Follow the free body diagram method for the truck. +*

2. A Ford F-150 pick-up truck is going up Gospel Hill towing a trailer. The mass of the pick-up truck is 2M and the mass of the trailer is M. The hill is inclined at an angle of 6 from horizontal. Neglect any friction force between the trailer and the road. The driver steps on gas, accelerating up the hill with an acceleration of magnitude a. The truck does not slip. a. Draw the FBDs for the truck, the cart, and the system. b. What is the friction force between the truck and the road? Follow the free body diagram method for the system. c. What is the force that the truck hitch exerts on the trailer? Follow the free body diagram method for the trailer. +y d. The truck starts slipping when the acceleration reaches 1.5 g sin 8. What is the coefficient of static friction between the road and the tires? Follow the free body diagram method for the truck. +*

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter4: Dynamics: Force And Newton's Laws Of Motion

Section: Chapter Questions

Problem 16PE: A brave but inadequate rugby player is being pushed backward by an opposing player who is exerting a...

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A brave but inadequate rugby player is being pushed backward by an opposing player who is exerting a force of 800 N on him. The mass of the losing player plus equipment is 90.0 kg, and he is accelerating at 1.20 m/s2 backward. (a) What is the force of friction between the losing player's feet and the grass? (b) What force does the winning player exert on the ground to move forward if his mass plus equipment is 110 kg? (c) Draw a sketch of the situation showing the system of interest used to solve each part. For this situation, draw a free-body diagram and write the net force equation.
A young woman buys an inexpensive used car for stock car racing. It can attain highway speed with an acceleration of 8.40 mi/h s. By making changes to its engine, she can increase the net horizontal force on the car by 24.0%. With much less expense, she can remove material from the body of the car to decrease its mass by 24.0%. (a) Which of these two changes, if either, will result in the greater increase in the cars acceleration? (b) If she makes both changes, what acceleration can she attain?
A car of mass 875 kg is traveling 30.0 m/s when the driver applies the brakes, which lock the wheels. The car skids for 5.60 s in the positive x-direction before coming to rest. (a) What is the cars acceleration? (b) What magnitude force acted on the car during this time? (c) How far did the car travel?
(a) A cat with a mass of 850 kg in moving to the right with a constant speed of 1.44 m/s. What is the total force on the cat ? (b) What is the total force on the cat if it is moving to the left?
(a) If half of the weight of a small 1.00103-kgutility truck is supported by its two drive wheels, s hat is the maximum acceleration it can achieve on dry concrete? (b) Will a metal cabinet lying on the wooden bed of the truck slip if it accelerates at this rate? (c) Solve both problems assuming the truck has four-steel drive.
(a) What is the minimum force of friction required to hold the system of Figure P4.74 in equilibrium? (b) What coefficient of static friction between the 100.-N block and the table ensures equilibrium? (c) If the coefficient of kinetic friction between the 100.-N block and the table is 0.250, what hanging weight should replace the 50.0-N weight to allow the system to move at a constant speed once it is set in motion? Figure P4.74
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(a) Find the tension in each cable supporting the 6.00 102-N cat burglar in Figure P4.35. (b) Suppose the horizontal cable were reattached higher up on the wall. Would the tension in the other cables increase, decrease, or stay the same? Why? Figure P4.35
(a) What is the maximum frictional force in the knee joint of a person who supports 66.0 kg of her mass on that knee? (b) During strenuous exercise it is possible to exert forces to the joints that are easily ten times greater than the weight being supported. What is the maximum force of friction under such conditions? The frictional forces in joints are relatively small in all circumstances except when the joints deteriorate, such as from injury or arthritis. Increased frictional forces can cause further damage and pain.
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Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of 75.0 N, the second a force of 90.0 N, friction is 12.0 N, and the mass of the third child plus wagon is 23.0 kg. (a) What is the system of interest if the acceleration of the child in the wagon is to be calculated? (b) Draw a free-body diagram, including all forces acting on the system. (c) Calculate the acceleration. (d) What would the acceleration be if friction were 15.0 N?