Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 9, Problem 96CP
To determine
The force exerted by the table on the chain after falling for some length.
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Review. As shown in Figure P8.26, a light string that does not stretch changes from horizontal to vertical as it passes over the edge of a table. The string connects m1 , a 3.50- kg block originally at rest on the horizontal table at a height h = 1.20 m above the floor, to m2 , a hanging 1.90-kg block originally a distance d = 0.900 m above the floor. Neither the surface of the table nor its edge exerts a force of kinetic friction. The blocks start to move from rest. The sliding block m1 is projected horizontally after reaching the edge of the table. The hanging block m2 stops without bouncing when it strikes the floor. Consider the two blocks plus the Earth as the system. (a) Find the speed at which m1 leaves the edge of the table. (b) Find the impact speed of m1 on the floor. (c) What is the shortest length ofthe string so that it does not go taut while m1is in flight? (d) Is the energy of the systemwhen it is released from rest equal to the energy of the system just before m1…
30. As shown in Figure P9.30, a
bullet of mass m and speed v
passes completely through a
pendulum bob of mass M. The
bullet emerges with a speed
of v/2. The pendulum bob is
suspended by a stiff rod (not a
string) of length l and negli-
giblemass. What is the mini-
V/2
Figure P9.30
mum value of v such that the pendulum bob will barely
swing through a complete vertical circle?
Q4: A thin uniform rod of mass Mr and length L is suspended from the ceiling and mounted on a horizontal frictionless axle at the top. The rod is initially at rest in its equilibrium position when a ball of play dough, of mass mb, strikes the rod at its lower end and remains stuck to the rod. The sticky ball is thrown with an initial speed v0 at a 60 degree angle from the horizontal direction, and strikes the rod when it reaches the top of its trajectory, as shown in Fig.4. The acceleration due to gravity has magnitude g and air resistance is negligible.
a. Determine the velocity of the ball of play dough right before it sticks to the rod. Use the x- y coordinate system defined in Fig.4.
b. Determine the angular velocity of the rod+ball system right after the collision. Take counterclockwise as positive.
c. - Establish the differential equation satisfied by the rod+ball system after the collision and determine the angular frequency of the system. You may assume that the small…
Chapter 9 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
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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- A skateboarder with his board can be modeled as a particle of mass 76.0 kg, located at his center of mass (which we will study in Chapter 9). As shown in Figure P8.49, the skateboarder starts from rest in a crouch-ing position at one lip of a half-pipe (point ). The half-pipe is one half of a cylinder of radius 6.80 m with its axis horizontal. On his descent, the skateboarder moves without friction so that his center of mass moves through one quarter of a circle of radius 630 m. (a) Find his speed at the bottom of the half-pipe (point (b) Immediately after passing point he stands up and raises his arms, lifting his center of mass from 0.500 in to 0.950 m above the concrete (point ). Next, the skateboarder glides upward with his center of mass moving in a quarter circle of radius 5.85 m. His body is horizontal when he passes point , the far lip of the half-pipe. As he passes through point , the speed of the skateboarder is 5.14 m/s. How much chemical potential energy in the body of the skateboarder was converted to mechanical energy in the skateboarderEarth system when he stood up at point ? (c) How high above point does he rise? Caution: Do not try this stunt yourself without the required skill and protective equipment. Figure P8.49arrow_forwardAs shown in Figure P8.20, a bullet of mass m and speed v passes completely through a pendulum bob of mass M. The bullet emerges with a speed of v/2. The pendulum bob is suspended by a stiff rod (not a string) of length , and negligible mass. What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle? Figure P8.20arrow_forwardAn object of mass m = 4.00 kg that is moving with a speed of 10.0 m/s collides head-on with another object, and the collision lasts 1.50 s. A graph showing the magnitude of the force during the collision versus time is shown in Figure P11.59, where the force is exerted in the direction opposite the initial velocity. Find the speed of the 4.00-kg mass after collision. FIGURE P11.59arrow_forward
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