In attempting to pass the puck to a teammate, a hockey player gives it an initial speed of 1.91 m/s. However, this speed is inadequate to compensate for the kinetic friction between the puck and the ice. As a result, the puck travels only one-half the distance between the players before sliding to a halt. What minimum initial speed should the puck have been given so that it reached the teammate, assuming that the same force of kinetic friction acted on the puck everywhere between the two players?

In attempting to pass the puck to a teammate, a hockey player gives it an initial speed of 1.91 m/s. However, this speed is inadequate to compensate for the kinetic friction between the puck and the ice. As a result, the puck travels only one-half the distance between the players before sliding to a halt. What minimum initial speed should the puck have been given so that it reached the teammate, assuming that the same force of kinetic friction acted on the puck everywhere between the two players?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section: Chapter Questions

Problem 8STP

See similar textbooks

Similar questions

A 75.0-g arrow, fired at a speed of 110 m/s to the left, impacts a tree, which it penetrates to a depth of 12.5 cm before coming to a stop. Assuming the force of friction exerted by the tree is constant, what are the magnitude and direction of the friction force acting on the arrow?
An object of mass m is sliding with speed vi at some instant across a level tabletop, with which its coefficient of kinetic friction is . It then moves through a distance d and comes to rest. Which of the following equations for the speed vi is reasonable? (a) vi=2mgd (b) vi=2mgd (c) vi=2gd (d) vi=2gd (e) vi=2d
If a single constant force acts on an object that moves on a straight line, the objects velocity is a linear function of time. The equation v = vi + at gives its velocity v as a function of time, where a is its constant acceleration. What if velocity is instead a linear function of position? Assume that as a particular object moves through a resistive medium, its speed decreases as described by the equation v = vi kx, where k is a constant coefficient and x is the position of the object. Find the law describing the total force acting on this object.
The crate, which has a mass of 100 kg, is subjected to the action of the forces. If it is originally at rest, determine the distance it slides in order to attain a speed of 6/m. The coefficient of kinetic friction between the crate and the surface is µk=0.2.
A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball at time t (in seconds). After how many seconds will the ball impact the ground? Assume that the net force acting on the ball is modeled by m(dv/dt) = mg – kv, where m is the mass of the ball. Also, assume that there is no initial velocity and that the acceleration due to gravity g is 9.8 meters per second squared. Do not round off intermediate steps. Round off the final answer to two decimal places.
A skier moving at 4.23 m/sm/s encounters a long, rough, horizontal patch of snow having a coefficient of kinetic friction of 0.220 with her skis. How far does she travel on this patch before stopping? Suppose the rough patch in part A was only 2.93 mm long. How fast would the skier be moving when she reached the end of the patch?
In shot putting, many athletes elect to launch the shot at an angle that is smaller than the theoretical one (about 42) at which the distance of a projected ball at the same speed and height is greatest. One reason has to do with the speed the athlete can give the shot during the acceleration phase of the throw. Assume that a 7.260 kg shot is accelerated along a straight path of length 1.650 m by a constant applied force of magnitude 380.0 N, starting with an initial speed of 2.500 m/s (due to the athlete’s preliminary motion).What is the shot’s speed at the end of the acceleration phase if the angle between the path and the horizontal is (a) 30.00 and (b) 42.00? (Hint: Treat the motion as though it were along a ramp at the given angle.) (c) By what percent is the launch speed decreased if the athlete increases the angle from 30.00 to 42.00?
Two penguins, Wheezy and Mumble, are racing down an icy slope into the water below. Wheezy has a mass of 22 kg. Mumble has a mass of 25 kg. The slope is angled at eight degrees to the horizontal. They both start from the same position at the same time, and slide down the icy slope entirely due to gravity alone. There is a coefficient of kinetic friction of 0.12 between the penguins and the ice. Who wins the race and what is the winner's acceleration when they reach the finish line (ie the water)?
A 7.3 kg crate is moved rightward across a horizontal surface by a horizontal force such that it has constant velocity. If the coefficient of the kinetic friction is 0.58, calculate the magnitude of the kinetic friction force.
A 7-kg toboggan is kicked on a frozen pond, such that it acquires a speed of 2.1 m/s to the right. The coefficient of friction between the pond and the toboggan is 0.17. Determine the distance that the toboggan slides before coming to rest.
the coefficient of static friction between block A and a horizontal floor is 0.320, and the coefficient of static friction between block B and the floor is 0.300. The mass of each block is 2.00kg,and they are connected together by a cord. If a horizontal force F pulling on block B is slowly increased ,in a direction parallel to the connectin cord,until the block start sliding ,what is the magnitude of F at the instant that they start to slide?
: A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball at time t (in seconds). After how many seconds will the ball impact the ground? Assume that the net force acting on the ball is modeled by m(dv/dt) = mg - kv, where m is the mass of the ball. Also, assume that there is no initial velocity and that the acceleration due to gravity g is 9.8 meters per second squared. A 1.23 seconds B) 2.89 seconds C.3.25 seconds D.4.01 seconds E. 4.20 seconds F 5.00 seconds G.5.31 seconds H 6.20 seconds