Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 9, Problem 7P
A glider of mass m is free to slide along a horizontal air track. It is pushed against a launcher at one end of the track. Model the launcher as a light spring of force constant k compressed by a distance x. The glider is released from rest. (a) Show that the glider attains a speed of v = x(k/m)1/2. (b) Show that the magnitude of the impulse imparted to the glider is given by the expression I = x(km)1/2. (c) Is more work done on a cart with a large or a small mass?
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Chapter 9 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 9.1 - Two objects have equal kinetic energies. How do...Ch. 9.1 - Your physical education teacher throws a baseball...Ch. 9.3 - Two objects are at rest on a frictionless surface....Ch. 9.3 - Rank an automobile dashboard, seat belt, and air...Ch. 9.4 - Prob. 9.5QQCh. 9.4 - A table-tennis ball is thrown at a stationary...Ch. 9.6 - A baseball bat of uniform density is cut at the...Ch. 9.7 - A cruise ship is moving at constant speed through...Ch. 9 - A particle of mass m moves with momentum of...Ch. 9 - A 3.00-kg particle has a velocity of...
Ch. 9 - A baseball approaches home plate at a speed of...Ch. 9 - A 65.0-kg boy and his 40.0-kg sister, both wearing...Ch. 9 - Two blocks of masses m and 3m are placed on a...Ch. 9 - When you jump straight up as high as you can, what...Ch. 9 - A glider of mass m is free to slide along a...Ch. 9 - You and your brother argue often about how to...Ch. 9 - The front 1.20 m of a 1 400-kg car Ls designed as...Ch. 9 - The magnitude of the net force exerted in the x...Ch. 9 - Water falls without splashing at a rate of 0.250...Ch. 9 - A 1 200-kg car traveling initially at vCi = 25.0...Ch. 9 - A railroad car of mass 2.50 104 kg is moving with...Ch. 9 - Prob. 14PCh. 9 - A car of mass m moving at a speed v1 collides and...Ch. 9 - A 7.00-g bullet, when fired from a gun into a...Ch. 9 - A tennis ball of mass 57.0 g is held just above a...Ch. 9 - (a) Three carts of masses m1 = 4.00 kg, m2 = 10.0...Ch. 9 - You have been hired as an expert witness by an...Ch. 9 - Two shuffleboard disks of equal mass, one orange...Ch. 9 - Prob. 21PCh. 9 - A 90.0-kg fullback running east with a speed of...Ch. 9 - A proton, moving with a velocity of vii, collides...Ch. 9 - A uniform piece of sheet metal is shaped as shown...Ch. 9 - Explorers in the jungle find an ancient monument...Ch. 9 - A rod of length 30.0 cm has linear density (mass...Ch. 9 - Consider a system of two particles in the xy...Ch. 9 - The vector position of a 3.50-g particle moving in...Ch. 9 - Prob. 29PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - A garden hose is held as shown in Figure P9.32....Ch. 9 - Prob. 33PCh. 9 - A rocket has total mass Mi = 360 kg, including...Ch. 9 - Prob. 35APCh. 9 - (a) Figure P9.36 shows three points in the...Ch. 9 - Review. A 60.0-kg person running at an initial...Ch. 9 - A cannon is rigidly attached to a carriage, which...Ch. 9 - A 1.25-kg wooden block rests on a table over a...Ch. 9 - A wooden block of mass M rests on a table over a...Ch. 9 - Two gliders are set in motion on a horizontal air...Ch. 9 - Prob. 42APCh. 9 - Prob. 43APCh. 9 - Why is the following situation impossible? An...Ch. 9 - Review. A bullet of mass m = 8.00 g is fired into...Ch. 9 - Review. A bullet of mass m is fired into a block...Ch. 9 - A 0.500-kg sphere moving with a velocity expressed...Ch. 9 - Prob. 48APCh. 9 - Review. A light spring of force constant 3.85 N/m...Ch. 9 - Prob. 50APCh. 9 - Prob. 51APCh. 9 - Sand from a stationary hopper falls onto a moving...Ch. 9 - Prob. 53CPCh. 9 - On a horizontal air track, a glider of mass m...
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- A cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected to a post by a large spring, initially unstretchcd and with force constant k = 2.00 104 N/m, as shown in Figure P8.60. The cannon fires a 200-kg projectile at a velocity of 125 m/s directed 45.0 above the horizontal. (a) Assuming that the mass of the cannon and its carriage is 5 000 kg, find the recoil speed of the cannon. (b) Determine the maximum extension of the spring. (c) Find the maximum force the spring exerts on the carriage. (d) Consider the system consisting of the cannon, carriage, and projectile. Is the momentum of this system conserved during the firing? Why or why not?arrow_forwardYou hold a slingshot at arms length, pull the light elastic band back to your chin, and release it to launch a pebble horizontally with speed 200 cm/s. With the same procedure, you fire a bean with speed 600 cm/s. What is the ratio of the mass of the bean to the mass of the pebble? (a) 19 (b) 13 (c) 1 (d) 3 (e) 9arrow_forwardThree runaway train cars are moving on a frictionless, horizontal track in a railroad yard as shown in Figure P11.73. The first car, with mass m1 = 1.50 103 kg, is moving to the right with speed v1 = 10.0 m /s; the second car, with mass m2 = 2.50 103 kg, is moving to the left with speed v2 = 5.00 m/s, and the third car, with mass m3 = 1.20 103 kg, is moving to the left with speed v3 = 8.00 m /s. The three railroad cars collide at the same instant and couple, forming a train of three cars. a. What is the final velocity of the train cars immediately after the collision? b. Would the answer to part (a) change if the three cars did not collide at the same instant? Explain. FIGURE P11.73arrow_forward
- Sand from a stationary hopper falls onto a moving conveyor belt at the rate of 5.00 kg/s as shown in Figure P8.64. The conveyor belt is supported by frictionless rollers and moves at a constant speed of v = 0.750 m/s under the action of a constant horizontal external force Fext supplied by the motor that drives the belt. Find (a) the sands rate of change of momentum in the horizontal direction, (b) the force of friction exerted by the belt on the sand, (c) the external force Fext, (d) the work done by Fext in 1 s, and (e) the kinetic energy acquired by the falling sand each second due to the change in its horizontal motion. (f) Why are the answers to parts (d) and (e) different? Figure P8.64arrow_forwardA tennis player receives a shot with the ball (0.060 0 kg) traveling horizontally at 50.0 m/s and returns the shot with the ball traveling horizontally at 40.0 m/s in the opposite direction. (a) What is the impulse delivered to the ball by the tennis racquet? (b) What work does the racquet do on the ball?arrow_forwardA hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s. Suddenly, a constant force of magnitude 5 N and direction due north is applied to the puck for 1.5 s. Find the north and east components of the momentum at the end of the 1.3-s interval.arrow_forward
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Impulse Derivation and Demonstration; Author: Flipping Physics;https://www.youtube.com/watch?v=9rwkTnTOB0s;License: Standard YouTube License, CC-BY