Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Question
Chapter 9, Problem 78AP
(a)
To determine
The horizontal component
(b)
To determine
The maximum possible value of
(c)
To determine
The value of
(d)
To determine
Whether the mechanical energy is conserved for the stone-cannonball-Earth system.
(e)
To determine
To show: The value of
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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 - Prob. 1OQCh. 9 - Prob. 2OQ
Ch. 9 - Prob. 3OQCh. 9 - Prob. 4OQCh. 9 - Prob. 5OQCh. 9 - Prob. 6OQCh. 9 - The momentum of an object is increased by a factor...Ch. 9 - The kinetic energy of an object is increased by a...Ch. 9 - If two particles have equal momenta, are their...Ch. 9 - Prob. 10OQCh. 9 - Prob. 11OQCh. 9 - Two particles of different mass start from rest....Ch. 9 - Prob. 13OQCh. 9 - A basketball is tossed up into the air, falls...Ch. 9 - Prob. 15OQCh. 9 - Prob. 16OQCh. 9 - Prob. 17OQCh. 9 - Prob. 18OQCh. 9 - Prob. 1CQCh. 9 - Prob. 2CQCh. 9 - Prob. 3CQCh. 9 - While in motion, a pitched baseball carries...Ch. 9 - You are standing perfectly still and then take a...Ch. 9 - Prob. 6CQCh. 9 - Two students hold a large bed sheet vertically...Ch. 9 - A juggler juggles three balls in a continuous...Ch. 9 - Prob. 9CQCh. 9 - Does a larger net force exerted on an object...Ch. 9 - Does a larger net force always produce a larger...Ch. 9 - A bomb, initially at rest, explodes into several...Ch. 9 - A particle of mass m moves with momentum of...Ch. 9 - Prob. 2PCh. 9 - Prob. 3PCh. 9 - A 3.00-kg particle has a velocity of...Ch. 9 - A baseball approaches home plate at a speed of...Ch. 9 - Prob. 6PCh. 9 - Prob. 7PCh. 9 - A 65.0-kg boy and his 40.0-kg sister, both wearing...Ch. 9 - Prob. 9PCh. 9 - When you jump straight up as high as you can, what...Ch. 9 - Two blocks of masses m and 3m are placed on a...Ch. 9 - Prob. 12PCh. 9 - An estimated forcetime curve for a baseball struck...Ch. 9 - Prob. 14PCh. 9 - A glider of mass m is free to slide along a...Ch. 9 - Prob. 16PCh. 9 - The front 1.20 m of a 1 400-kg car Ls designed as...Ch. 9 - A tennis player receives a shot with the ball...Ch. 9 - The magnitude of the net force exerted in the x...Ch. 9 - Prob. 20PCh. 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 - Prob. 23PCh. 9 - A car of mass m moving at a speed v1 collides and...Ch. 9 - A railroad car of mass 2.50 104 kg is moving with...Ch. 9 - Prob. 26PCh. 9 - Prob. 27PCh. 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 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 33PCh. 9 - (a) Three carts of masses m1 = 4.00 kg, m2 = 10.0...Ch. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - Prob. 37PCh. 9 - Two shuffleboard disks of equal mass, one orange...Ch. 9 - Prob. 39PCh. 9 - A proton, moving with a velocity of vii, collides...Ch. 9 - Prob. 41PCh. 9 - A 90.0-kg fullback running east with a speed of...Ch. 9 - Prob. 43PCh. 9 - Prob. 44PCh. 9 - Prob. 45PCh. 9 - Prob. 46PCh. 9 - Explorers in the jungle find an ancient monument...Ch. 9 - A uniform piece of sheet metal is shaped as shown...Ch. 9 - A rod of length 30.0 cm has linear density (mass...Ch. 9 - Prob. 50PCh. 9 - Prob. 51PCh. 9 - Consider a system of two particles in the xy...Ch. 9 - Prob. 53PCh. 9 - The vector position of a 3.50-g particle moving in...Ch. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - Prob. 57PCh. 9 - Prob. 58PCh. 9 - Prob. 59PCh. 9 - Prob. 60PCh. 9 - A garden hose is held as shown in Figure P9.32....Ch. 9 - Prob. 62PCh. 9 - Prob. 63PCh. 9 - A rocket has total mass Mi = 360 kg, including...Ch. 9 - A ball of mass m is thrown straight up into the...Ch. 9 - Prob. 66APCh. 9 - A 3.00-kg steel ball strikes a wall with a speed...Ch. 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 - Prob. 73APCh. 9 - Prob. 74APCh. 9 - Two gliders are set in motion on a horizontal air...Ch. 9 - Why is the following situation impossible? An...Ch. 9 - Prob. 77APCh. 9 - Prob. 78APCh. 9 - Prob. 79APCh. 9 - A small block of mass m1 = 0.500 kg is released...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. 84APCh. 9 - Prob. 85APCh. 9 - Prob. 86APCh. 9 - Review. A light spring of force constant 3.85 N/m...Ch. 9 - Prob. 88APCh. 9 - Prob. 89APCh. 9 - Prob. 90APCh. 9 - Prob. 91APCh. 9 - Prob. 92CPCh. 9 - Prob. 93CPCh. 9 - Sand from a stationary hopper falls onto a moving...Ch. 9 - On a horizontal air track, a glider of mass m...Ch. 9 - Prob. 96CP
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Similar questions
- There is a compressed spring between two laboratory carts of masses m1 = 105 g and m2 = 212 g. Initially, the carts are held at rest on a horizontal track (Fig. P10.40A). The carts are released, and the cart of mass m1 has velocity vi=2.035i m/s in the positive x direction (Fig. 10.40B). Assume rolling friction is negligible. a. What is the net external force on the two-cart system? b. Find the velocity of cart 2. FIGURE P10.40 Problems 40 and 41.arrow_forwardTwo metersticks are connected at their ends as shown in Figure P10.18. The center of mass of each individual meterstick is at its midpoint, and the mass of each meterstick is m. a. Where is the center of mass of the two-stick system as depicted in the figure, with the origin located at the intersection of the sticks? b. Can the two-stick system be balanced on the end of your finger so that it remains lying flat in front of you in the orientation shown? Why or why not? FIGURE P10.18 (a) The center of mass of the stick on the x axis would be at (0.5 m, 0), and the center of mass of the stick on the stick on the y axis be at (0, 0.5 m), assuming the sticks are uniform. We can then use Equation 10.3 to find the x and y coordinates of the center of mass. xCM=1Mj=1nmjxj=12m[m(0.50m)]=0.25myCM=1Mj=1nmjyj=12m[m(0.50m)]=0.25m The location of the center of mass is (0.25m,0.25m) (b) No. The location of the center of mass is not located on the object, so your finger would not be in contact with the object. In a different orientation, balancing by applying a force at the center of mass might be possible, but not in the orientation shown.arrow_forwardFigure P9.59a shows an overhead view of the configuration of two pucks of mass In on frictionless ice. The pucks are tied together with a string of length 1' and negligible mass. At time t = 0, a constant force of magnitude F begins to pull to the right on the center point of the string. At time t, the moving pucks strike each other and stick together. At this time, the force has moved through a distance 4 and the pucks have attained a speed v (Fig. P9.59b). (a) What is v in terms of F, d, e, and in? (b) How much of the energy transferred into the system by work done by the force has been transformed to internal energy?arrow_forward
- A space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three pieces. One piece of mass ml = 48.0 kg travels in the positive x-direction at 12.0 m/s, and a second piece of mass m2 = 62.0 kg travels in the xy-plane at an angle of 105 at 15.0 m/s. The third piece has mass m3 = 112 kg. (a) Sketch a diagram of the situation, labeling the different masses and their velocities, (b) Write the general expression for conservation of momentum in the x- and y-directions in terms of m1, m2, m3, v1, v2 and v3 and the sines and cosines of the angles, taking to be the unknown angle, (c) Calculate the final x-components of the momenta of m1 and m2. (d) Calculate the final y-components of the momenta of m1 and m2. (e) Substitute the known momentum components into the general equations of momentum for the x- and y-directions, along with the known mass m3. (f) Solve the two momentum equations for v3 cos and v3 sin , respectively, and use the identity cos2 + sin2 = 1 to obtain v3. (g) Divide the equation for v3 sin by that for v3 cos to obtain tan , then obtain the angle by taking the inverse tangent of both sides, (h) In general, would three such pieces necessarily have to move in the same plane? Why?arrow_forwardA cart filled with sand rolls at a speed of 1.0 m/s along a horizontal path without friction. A ball of mass m = 2.0 kg is thrown with a horizontal velocity of 8.0 m/s toward the cart as shown in Figure P11.79. The ball gets stuck in the sand. What is the velocity of the cart after the ball strikes it? The mass of the cart is 15 kg. FIGURE P11.79 Problems 79 and 80.arrow_forwardA space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three pieces. One piece of mass ml = 48.0 kg travels in the positive x-direction at 12.0 m/s, and a second piece of mass m2 = 62.0 kg travels in the xy-plane at an angle of 105 at 15.0 m/s. The third piece has mass m3 = 112 kg. (a) Sketch a diagram of the situation, labeling the different masses and their velocities, (b) Write the general expression for conservation of momentum in the x- and y-directions in terms of m1, m2, m3, v1, v2 and v3 and the sines and cosines of the angles, taking to be the unknown angle, (c) Calculate the final x-components of the momenta of m1 and m2. (d) Calculate the final y-components of the momenta of m1 and m2. (e) Substitute the known momentum components into the general equations of momentum for the x- and y-directions, along with the known mass m3. (f) Solve the two momentum equations for v3 cos and v3 sin , respectively, and use the identity cos2 + sin2 = 1 to obtain v3. (g) Divide the equation for v3 sin by that for v3 cos to obtain tan , then obtain the angle by taking the inverse tangent of both sides, (h) In general, would three such pieces necessarily have to move in the same plane? Why?arrow_forward
- A uniform piece of sheet metal is shaped as shown in Figure P9.24. Compute the x and y coordinates of the center of mass of the piece. Figure P9.24arrow_forwardA girl of mass mg is standing on a plank of mass mp. Both are originally at rest on a frozen lake that constitutes a frictionless, flat surface. The girl begins to walk along the plank at a constant velocity vgp to the right relative to the plank. (The subscript gp denotes the girl relative to plank.) (a) What is the velocity vpi of the plank relative to the surface of the ice? (b) What is the girls velocity vgi relative to the ice surface?arrow_forwardProblems 44 and 45 are paired. C A model rocket is shot straight up. As it reaches the highest point in its trajectory, it explodes in midair into three pieces with velocities indicated by the arrows in Figure P10.44, as viewed from directly above the explosion. Rank the mass of each piece in order from smallest to largest and justify your answer. FIGURE P10.44 Problems 44 and 45.arrow_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 57.0-g tennis ball is traveling straight at a player at 21.0 m/s. The player volleys the ball straight back at 25.0 m/s. If the ball remains in contact with the racket for 0.060 s, what average force acts on the ball? (a) 22.6 N (b) 32.5 N (c) 43.7 N (d) 72.1 N (e) 102 Narrow_forward
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