Ramp Problems: 1. A 10 kg object rests on a 30° ramp which has a coefficient of friction of 0.20. a) What will the object do? b) What would a 50 kg mass do?
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- An automobile driver traveling down an 8% grade slams on his brakes and skids 30 m before hitting a parked car. A lawyer hires an expert who measures the coefficient of kinetic friction between the tires and road to be k = 0.45. Is the lawyer correct to accuse the driver of exceeding the 25-MPH speed limit? Explain.A box rests on the back of a truck. The coefficient of static friction between the box and the bed of the truck is 0.800. (a) When the truck accelerates forward, what force accelerates the box? (b) Find the maximum acceleration the truck can have before the box slides.Give reasons for the answers to each of the following questions: (a) Clan a normal force be horizontal? (b) Can a normal force be directed vertically downward? (c) Consider a tennis ball in contact with a stationary floor and with nothing else. Can the normal force be different in magnitude from the gravitational force exerted on the ball? (d) Can the force exerted by the floor on the hall be different in magnitude from the force the ball exerts on the floor?
- 1. Pushing a Bor Two workers are sliding a 300 kg crate across the floor. One worker pushes forward on the crate with a force of 380 N while the other pulls in the same direction with a force of 350 N using a rope connected to the crate. Both forces are horizontal, and the crate slides with a constant speed. What is the crate's coefficient of kinetic friction on the floor? 2. Fun Friction Problem A 4000 kg truck is parked on a 7.0 slope. Calculate the frictional force on the truck. 3. Rolling Friction The rolling resistance for steel on steel is a paltry = 0.002. How long would it take a 500,000 kg train to come to a stop if it was originally rolling at 10 m/s?If a horizontal force is applied to an object, how can you tell if an object will start moving? A.The object will start moving if any force is applied. B.The object will start moving if the applied force is greater than the maximum static friction. C.The object will start moving if the applied force is greater than the minimum static friction. D.The object will start moving if the applied force is greater than the maximum kinetic friction. E.The object will start moving if the applied force is greater than the minimum kinetic friction1)A shingle slides down a roof having a 30 angle and falls off with a speed of 2.0 m/s.a. How long will it take to hit the ground?b. Calculate the highest point reached by it. 2)A 20.0 kg trunk is pushed across the floor of a moving van by a horizontal force. If thecoefficient of kinetic friction between the trunk and the floor is 0.255, what is the magnitudeof the frictional force opposing the applied force?
- I Consider the following physical situations: 1. A5-kg box resting on top of a table. 2. A 10-N force is applied to a 5-kg box to accelerate it to the right across a table. The box encounters a force of friction of 5 N. 3. A 5-kg box is being pulled up the inclined plane by a 10-N force. The box encounters a force of friction of 5 N. The plane is 8m and is inclined 20° from the horizontal. a) Construct free-body diagrams for the following physical situations at the instant in time for which they are described. As it is always done in free-body diagrams, label the forces according to type and draw the arrows such that their length reflects the magnitude of the force. (* situation) b) Consider situation 3, calculate the net force acting on the box and the acceleration of the box. c) Consider situation 3, calculate work done by the force of gravity and done by friction.1. Steve pushes a box across a level floor with a constant horizontal force. This causes the box to move at a constant speed, v. The force from Steve: a. has the same magnitude as the weight of the box. b. equals the sum of the box's weight and the total frictional forces opposing the box's motion. c. has the same magnitude as the frictional forces opposing the box's motion. d. has greater magnitude than the frictional forces opposing the box's motion. e. has greater magnitude than the weight of the box. 2. Steve now doubles the force he applies to th box from the previous problem. Which of the following is true? a. The box will move at double the previous speed. b. The box will move with a continuously increasing speed. c. The box will increase speed for a while, then move at a constant speed. d. The box will continue to move at the same speed for a while, then continually increase speed. e. The box will move at a greater constant speed, but not necessarily double the speed.2. You are helping a friend move. Consider two boxes which have masses in factors of m; one of mass 6m and the other of mass 7m. The coefficient of static friction between the two boxes is very large. The coefficient of static friction between the boxes and the floor is 0.7 and the coefficient of kinetic friction is 0.1. You place the large box on top of the small box and slide them down a 1m high ramp out of the truck. The ramp is frictionless because it is covered with wheels. The box slides down this ramp smoothly onto the horizontal grass with coefficient of kinetic friction is 0.142857142857143. How far (in meters) will the boxes slide before they stop?
- 10) A push of magnitude P acts on a box of weight W as shown in the figure. The push is directed at an angle 0 below the horizontal, and the box remains a rest. The box rests on a horizontal surface that has some friction with the box. What is the friction force on the box due to the floor? P. WAs a girl pushes an object across a wood floor, she suddenly comes to an area where the floor has been waxed recently, making it slippery. What becomes true of the coefficient of kinetic friction? A. The coefficient of kinetic friction increases. B. The coefficient of kinetic friction decreases. C. The coefficient of kinetic friction becomes zero. D. The coefficient of kinetic friction becomes negative.An automobile is going up a grade of 15 with an initial velocity of 30 m/s. The coefficient of static friction between the tires and the road is 0.7. a) What minimum distance does it take to stop the car? b) What minimum distance would it take to stop the car if it were going down the grade?