Answered: A study found that the coefficient of…

A study found that the coefficient of friction between the ice and curling stone is 0.02. The distance of the curling sheet is around 30 meters. How fast should the stone be to get a bullseye ?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 30PQ: A sled and rider have a total mass of 56.8 kg. They are on a snowy hill accelerating at 0.7g. The...

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A skier weighing 90 kg starts from rest down a hill inclined at 17°. He skis 100 m down the hill and then coasts for 70 m along level snow until he stops. Find the coefficient of kinetic friction between the skis and the snow. What velocity does the skier have at the bottom of the hill?
In a laboratory model of cars skidding to a stop, data are measured for four trials using two blocks. The blocks have identical masses but different coefficients of kinetic friction with a table: k = 0.2 and 0.8. Each block is launched with speed vi = 1 m/s and slides across the level table as the block comes to rest. This process represents the first two trials. For the next two trials, the procedure is repeated but the blocks are launched with speed vi = 2 m/s. Rank the four trials (a) through (d) according to the stopping distance from largest to smallest. If the stopping distance is the same in two cases, give them equal rank. (a) vi = 1 m/s, k = 0.2 (b) vi = 1 m/s, k = 0.8 (c) vi = 2 m/s, k = 0.2 (d) vi = 2 m/s, k = 0.8
The driver of a speeding empty truck slams on the brakes and skids to a stop through a distance d. On a second trial, the truck carries a load that doubles its mass. What will now be the trucks skidding distance? (a) 4d (b) 2d (c) 2d (d) d (e) d/2
Professional Application A car moving at 10 m/s crashes into a tree and stops in 0.26 s. Calculate the force the seat belt exerts on a passenger in the car to bring him to a halt. The mass of the passenger is 70 kg.
A woman uses a rope to pull a block of mass m across a level floor at a constant velocity. The coefficient of kinetic friction between the block and the floor is k. The rope makes an angle with the floor. Find an algebraic expression for the tension in the rope in terms of the parameters listed in the problem and any constants.
A fisherman poles a boat as he searches for his next catch. He pushes parallel to the length of the light pole, exerting a force of 240 N on the bottom of a shallow lake. The pole lies in the vertical plane containing the boats keel. At one moment, the pole makes an angle of 35.0 with the vertical and the water exerts a horizontal drag force of 47.5 N on the boat, opposite to its forward velocity of magnitude 0.857 m/s. The mass of the boat including its cargo and the worker is 370 kg. (a) The water exerts a buoyant force vertically upward on the boat. Find the magnitude of this force. (b) Assume the forces are constant user a short interval of time. Find the velocity of the boat 0.450 s after the moment described, (c) If the angle of the pole with respect to the vertical increased but the exerted force against the bottom remained the same, what would happen to buoyant forte and the acceleration of the boat?
The driver of a speeding truck slams on the brakes and skids to a stop through a distance d. On another trial, the initial speed of the truck is half as large. What now will be the trucks skidding distance? (a) 2d (b) 2d (c) d (d) d/2 (e) d/4
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.
Review. A block of mass m = 2.00 kg is released from rest at h = 0.500 m above the surface of a table, at the top of a = 30.0 incline as shown in Figure P5.101. The frictionless incline is fixed on a table of height H = 2.00 m. (a) Determine the acceleration of the block as it slides down the incline, (b) What is the velocity of the block as it leaves the incline? (c) How far from the table will the block hit the floor? (d) What time interval elapses between when the block is released and when it hits the floor? (e) Does the mass of the block affect any of the above calculations?
One great form of athletic competition for bulldogs, American pit bull terriers, huskies, and many other breeds is the weight pull. Many of these dogs can pull weights two orders of magnitude greater than their own weight! Railsplitter, an American pit bull terrier, can pull a sled that has a total weight of 2215 lb along a horizontal surface. Suppose he pulls with a horizontal force of 3.50 103 N while friction is also working against the sled. If the magnitude of the net acceleration of the sled is 0.152 m/s2, find the value of the coefficient of kinetic friction, k, between the sled and the pulling surface. (The sled is normally on a set of rails.)
A sled and rider have a total mass of 56.8 kg. They are on a snowy hill accelerating at 0.7g. The coefficient of kinetic friction between the sled and the snow is 0.18. What is the angle of the hills slope measured upward from the horizontal? You may find a spreadsheet program helpful in answering this question.
In a laboratory model of cars skidding to a stop, data are measured for four trials using two blocks. The blocks have identical masses but different coefficients of kinetic friction with a table: k = 0.2 and 0.8. Each block is launched with speed vi = 1 m/s and slides across the level table as the block comes to rest. This process represents the first two trials. For the next two trials, the procedure is repeated but the blocks are launched with speed vi = 2 m/s. Rank the four trials (a) through (d) according to the stopping distance from largest to smallest. If the stopping distance is the same in two cases, give them equal rank. (a) vi = 1 m/s, = 0.2 (b) vi = 1 m/s, k = 0.8 (c) vi = 2 m/s, = 0.2 (d) vi =2 m/s, k = 0.8