*84.|A 63-kg skier coasts up a snow-covered hill that makes an angleof 25° with the horizontal. The initial speed of the skier is 6.6 m/s. Aftercoasting 1.9 m up the slope, the skier has a speed of 4.4 m/s. (a) Find thework done by the kinetic frictional force that acts on the skis. (b) What isthe magnitude of the kinetic frictional force?

Given: Mass of the skier = 63 kg Distance traveled = 1.9 m Angle of inclined plane = 250Initial…

Answered: *84. |A 63-kg skier coasts up a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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4 A cable exerts a constant upward tension of magnitude 1.38 x 10" N on a 1.20 x 10 kg elevator as it rises through a vertical distance of 3.50 m. HINT (a) Find the work done by the tension force on the elevator (in J). (b) Find the work done by the force of gravity on the elevator (in J).
Using the work-energy theorem to investigate a traffic scene A car hit a pedestrian and immediately the driver slammed on the brakes to stop the car. During the subsequent trial, the driver's lawyer claimed his client was obeying the posted 35-mi/hr speed limit. You have been called in as the state's expert witness. Your investigation of the accident found that the skid marks made while the brakes were applied until the car stopped were Ax = 94 m long. You also measured the coefficient of kinetic friction between the car's tires and the road (using a drag sled) to be μk = 0.36. (a) Use the work-energy theorem to show that the car's minimum speed vo when the driver slammed on the brakes is given by vo = √2 μg Ax (b) Use the result of part (a) to determine if the car was speeding when the pedestrian was hit. [answer: The car's speed was at least 57 mi/hr when the brakes were applied.] (c) If the car's mass is 1470 kg, how much heat energy was produced while the car was skidding? [answer:…
5. A person pulls an object of mass 40 kg as far as 20 m above a flat floor at a constant speed. The force used is directed 370 upwards horizontally. The coefficient of kinetic friction of the object with the floor is 0.20. Determine the work by the person, the work by the frictional force, and the total work on the object.
A 17.9 kg block is dragged over a rough, horizontal surface by a constant force of 111 Nacting at an angle of angle 31.1◦above the horizontal. The block is displaced 60 m and the coefficient of kinetic friction is 0.152. Find the work done by the 111 N force. The acceleration of gravity is 9.8 m/s2.Answer in units of J. Find the magnitude of the work done by the force of friction.Answer in units of J What is the sign of the work done by the frictional force?1. positive2. negative3. zero Find the work done by the normal force.Answer in units of J What is the net work done on the block?Answer in units of J.
6. One end of a light inextensible string is attached to a block. The string is used to pull the block along a horizontal surface with a speed of 2 m s−1. The string makes an angle of 20° with the horizontal and the tension in the string is 25 N. Find the work done by the tension in a period of 8 seconds.
1. You push a 67 kg box across a floor where the coefficient of kinetic friction is uk = 0.55. The force you exert is horizontal.(a) How much power is needed to push the box at a speed of 0.50 m/s?(b) How much work do you do if you push the box for 35s? Explain and draws.
A cart loaded with bricks has a total massof 20.5 kg and is pulled at constant speed bya rope. The rope is inclined at 20.7◦ degrees above the horizontal and the cart moves25.2 m on a horizontal floor. The coefficientof kinetic friction between ground and cart is0.274.The acceleration of gravity is 9.8 m/s2.How much work is done on the cart by the rope?Answer in units of kJ.
You may have noticed runaway truck lanes while driving in the mountains. These gravel-filled lanes are designed to stop trucks that have lost their brakes on mountain grades. Typically, such a lane is horizontal (if possible) and about 35.0 m long. Think of the ground as exerting a frictional drag force on the truck. A truck enters a typical runaway lane with a speed of 55.5 mph (24.8 m/s). Use the work-energy theorem to find the minimum coefficient of kinetic friction between the truck and the lane to be able to stop the truck.
1. A 23.0 kg child is playing on a swing with a length of 2.5 m. If the swing starts from rest and makes an angle of 40.0◦ with the vertical at the top of the swing, a) determine the child’s speed at the bottom of the swing neglecting friction. b) If the swing has a speed of 2.8 m/s at the bottom, determine the work done by friction during the downswing and, bonus) assuming the force of friction is constant, determine the maximum angle the swing attains on the upswing after passing through the bottom. Hint: Use the approximation that cos θ ≈ 1 − 1 2 θ 2 for angles given in radians.
A block of mass 2.7 kg is pushed 2.6 m along a frictionless horizontal table by a constant 21 N force directed 32 degrees below the horizontal. d) Determine the work (in J) done by the force of gravity. e) Determine the work (in J) done by the net force on the block.
A 7.80-g bullet moving at 590 m/s penetrates a tree trunk to a depth of 5.60 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet. N=(b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving. s=

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