College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 13.3, Problem 13.5QQ
To determine
How the total energy will change when the mass of the object becomes four times.
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Consider the free-fall motion of a bouncing ball. Assume that there is very little air
resistance. Let the floor be the zero point. For this activity we will predict how the energy
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until It just hits the floor a second time.
Height and velocity of a single bounce
Figre2 Heghr and
Question 1: Make a sketch of both position vs. time and velocity vs time for the ball from
just after it hits the floor for the first time, through one complete bounce until it hits the
floor a second time. Let the floor be the zero point. This will look similar to the pop-out
image above in Figure 2.
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b. the ball is about halfway up
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d. the ball is about halfway back down
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At a construction site, there is a pile of sand in the shape of a cone. The cone has a height of 5 m and a base radius of 8 m. Suppose that the density of the sand is 1400 kg/m3. In order to assemble this pile, energy must be expended to lift each bit of sand (working against gravity) to its final height in the pile. It is known that the energy, E required to lift a mass m (in kg) to a height h (in m) is given by E = mgh (where g can be taken to be 10 m/s2).
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A ball with a mass of 5 kilograms collides with a rod in a vertical position with a frictionless hinge at its base. The rod has a mass of 50 kilograms and is 1.36 meters long. The ball has a velocity of 30 meters per second initially (the left) and bounces off with a speed of 15.3 meters per second (the right). Assume energy is not conserved.
Part A: What is theangula rvelocity of the rod immediately after the collision?
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Chapter 13 Solutions
College Physics
Ch. 13.1 - A block on the end of a horizontal spring is...Ch. 13.1 - For a simple harmonic oscillator, which of the...Ch. 13.2 - When an object moving in simple harmonic motion is...Ch. 13.3 - An object of mass m is attached to a horizontal...Ch. 13.3 - Prob. 13.5QQCh. 13.4 - If the amplitude of a system moving in simple...Ch. 13.5 - A simple pendulum is suspended from the ceiling of...Ch. 13.5 - A pendulum dork depends on the period of a...Ch. 13.5 - The period of a simple pendulum is measured to be...Ch. 13 - An objectspring system undergoes simple harmonic...
Ch. 13 - If an objectspring system is hung vertically and...Ch. 13 - The spring in Figure CQ13.3 is stretched from its...Ch. 13 - If the spring constant shown in Figure CQ13.3 is...Ch. 13 - If the spring shown in Figure CQ13.3 is com...Ch. 13 - If a spring is cut in half, what happens to its...Ch. 13 - A pendulum bob is made from a sphere filled with...Ch. 13 - A block connected to a horizontal spring is in...Ch. 13 - (a) Is a bouncing ball an example of simple...Ch. 13 - If a grandfather clock were running slow, how...Ch. 13 - What happens to the speed of a wave on a string...Ch. 13 - Prob. 12CQCh. 13 - Waves are traveling on a uniform string under...Ch. 13 - Identify each of the following waves as either...Ch. 13 - A block, of mass m = 0.60 kg attached to a spring...Ch. 13 - A spring oriented vertically is attached to a hard...Ch. 13 - The force constant of a spring is 137 N/m. Find...Ch. 13 - A spring is hung from a ceiling, and an object...Ch. 13 - A biologist hangs a sample of mass 0.725 kg on a...Ch. 13 - An archer must exert a force of 375 N on the...Ch. 13 - A spring 1.50 m long with force constant 475 N/m...Ch. 13 - A block of mass m = 2.00 kg is attached to a...Ch. 13 - A slingshot consists of a light leather cup...Ch. 13 - An archer pulls her bowstring back 0.400 m by...Ch. 13 - A student pushes the 1.50-kg block in Figure...Ch. 13 - An automobile having a mass of 1.00 103 kg is...Ch. 13 - A 10.0-g bullet is fired into, and embeds itself...Ch. 13 - An object-spring system moving with simple...Ch. 13 - A horizontal block-spring system with the block on...Ch. 13 - A 0.250-kg block attached to a light spring...Ch. 13 - A block-spring system consists of a spring with...Ch. 13 - A 0.40-kg object connected to a light spring with...Ch. 13 - At an outdoor market, a bunch of bananas attached...Ch. 13 - A student stretches a spring, attaches a 1.00-kg...Ch. 13 - A horizontal spring attached to a wall has a force...Ch. 13 - An object moves uniformly around a circular path...Ch. 13 - The wheel in the simplified engine of Figure...Ch. 13 - The period of motion of an object-spring system is...Ch. 13 - A vertical spring stretches 3.9 cm when a 10.-g...Ch. 13 - When four people with a combined mass of 320 kg...Ch. 13 - The position of an object connected to a spring...Ch. 13 - A harmonic oscillator is described by the function...Ch. 13 - A 326-g object is attached to a spring and...Ch. 13 - An object executes simple harmonic motion with an...Ch. 13 - A 2.00-kg object on a frictionless horizontal...Ch. 13 - A spring of negligible mass stretches 3.00 cm from...Ch. 13 - Given that x = A cos (t) is a sinusoidal function...Ch. 13 - A man enters a tall tower, needing to know its...Ch. 13 - A simple pendulum has a length of 52.0 cm and...Ch. 13 - A seconds pendulum is one that moves through its...Ch. 13 - A clock is constructed so that it keeps perfect...Ch. 13 - A coat hanger of mass m = 0.238 kg oscillates on a...Ch. 13 - The free-fall acceleration on Mars is 3.7 m/s2....Ch. 13 - A simple pendulum is 5.00 in long. (a) What is the...Ch. 13 - The sinusoidal wave shown in Figure P13.41 is...Ch. 13 - An object attached to a spring vibrates with...Ch. 13 - Prob. 43PCh. 13 - The distance between two successive minima of a...Ch. 13 - A harmonic wave is traveling along a rope. It is...Ch. 13 - A bat can detect small objects, such as an insect,...Ch. 13 - Orchestra instruments are commonly tuned to match...Ch. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Workers attach a 25.0-kg mass to one end of a...Ch. 13 - A piano siring of mass per unit length 5.00 103...Ch. 13 - A student taking a quiz finds on a reference sheet...Ch. 13 - Prob. 53PCh. 13 - An astronaut on the Moon wishes to measure the...Ch. 13 - A simple pendulum consists of a ball of mass 5.00...Ch. 13 - A string is 50.0 cm long and has a mass of 3.00 g....Ch. 13 - Tension is maintained in a string as in Figure...Ch. 13 - The elastic limit of a piece of steel wire is 2.70...Ch. 13 - A 2.65-kg power line running between two towers...Ch. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - The position of a 0.30-kg object attached to a...Ch. 13 - An object of mass 2.00 kg is oscillating freely on...Ch. 13 - Prob. 64APCh. 13 - A simple pendulum has mass 1.20 kg and length...Ch. 13 - A 0.500-kg block is released from rest and slides...Ch. 13 - A 3.00-kg object is fastened to a light spring,...Ch. 13 - A 5.00-g bullet moving with an initial speed of...Ch. 13 - A large block P executes horizontal simple...Ch. 13 - A spring in a toy gun has a spring constant of...Ch. 13 - A light balloon filled with helium of density...Ch. 13 - An object of mass m is connected to two rubber...Ch. 13 - Assume a hole is drilled through the center of the...Ch. 13 - Figure P13.74 shows a crude model of an insect...Ch. 13 - A 2.00-kg block hangs without vibrating at the end...Ch. 13 - A system consists of a vertical spring with force...
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