An Introduction to Physical Science
14th Edition
ISBN: 9781305079137
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Question
Chapter 4, Problem 17SA
To determine
The positions of the spring according to the given condition of the problem.
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A 90-gram mass is placed on a vertically oriented spring that then is stretched 0.5 meters below its equilibrium position and released. If the spring constant is 200 N/m, how fast will the mass be moving when it reaches the equilibrium position? Hint: You cannot ignore the change in gravitational potential energy in this problem. Please give your answer in units of m/s, however, do not explicitly include units when typing your answer into the answer box. Including actual units will result in your answer being incorrectly scored.
At the low point in its swing, a pendulum bob with a mass of 0.15 kg has a velocity of 9 m/s.
What is its kinetic energy at the low point? (You must provide an answer before moving to the next part.)
The kinetic energy at the low point is
12.2 J.
A 40 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals 9,500 N/m.
(a)
By how much would the spring be compressed by the child if she simply balanced herself vertically on the pedals of the stick? (Give your answer in cm.)
cm
(b)
How much energy (in J) is stored in the spring under this circumstance?
J
Chapter 4 Solutions
An Introduction to Physical Science
Ch. 4.1 - Is work a vector quantity? In other words, does it...Ch. 4.1 - What are the units of work?Ch. 4.2 - By what process is energy transferred from one...Ch. 4.2 - To find the difference in gravitational potential...Ch. 4.2 - Prob. 4.1CECh. 4.3 - Overall, can energy be created or destroyed?Ch. 4.3 - What is the difference between total energy and...Ch. 4.3 - Find the kinetic energy of the stone in the...Ch. 4.4 - What is the difference in the operations of a 2-hp...Ch. 4.4 - Electric bills from power companies charge for so...
Ch. 4.4 - A student expends 7.5 W of power in lifting a...Ch. 4.4 - Prob. 4.4CECh. 4.5 - Prob. 1PQCh. 4.5 - Prob. 2PQCh. 4.6 - What is the difference between alternative and...Ch. 4.6 - Prob. 2PQCh. 4 - KEY TERMS 1. work (4.1) 2. joule 3. foot-pound 4....Ch. 4 - Prob. BMCh. 4 - Prob. CMCh. 4 - Prob. DMCh. 4 - Prob. EMCh. 4 - Prob. FMCh. 4 - Prob. GMCh. 4 - Prob. HMCh. 4 - Prob. IMCh. 4 - Prob. JMCh. 4 - Prob. KMCh. 4 - Prob. LMCh. 4 - Prob. MMCh. 4 - KEY TERMS 1. work (4.1) 2. joule 3. foot-pound 4....Ch. 4 - KEY TERMS 1. work (4.1) 2. joule 3. foot-pound 4....Ch. 4 - Work is done on an object when it is ___. (4.1)...Ch. 4 - Which of the following is a unit of work? (4.1)...Ch. 4 - Prob. 3MCCh. 4 - Which of the following objects has the greatest...Ch. 4 - A pitcher throws a fastball. When the catcher...Ch. 4 - The reference point for gravitational potential...Ch. 4 - When the height of an object is changed, the...Ch. 4 - Mechanical energy is ___. (4.2) (a) the sum of...Ch. 4 - On which of the following does the speed of a...Ch. 4 - Power is expressed by which of the following...Ch. 4 - If motor A has twice as much horsepower as motor...Ch. 4 - Prob. 12MCCh. 4 - Which one of the following would not be classified...Ch. 4 - Prob. 14MCCh. 4 - Work is equal to the force times the ___ distance...Ch. 4 - Prob. 2FIBCh. 4 - The unit N m is given the special name of ___ ....Ch. 4 - Prob. 4FIBCh. 4 - Prob. 5FIBCh. 4 - The stopping distance of an automobile on a level...Ch. 4 - Kinetic energy is commonly referred to as the...Ch. 4 - Prob. 8FIBCh. 4 - Prob. 9FIBCh. 4 - Prob. 10FIBCh. 4 - Prob. 11FIBCh. 4 - Prob. 12FIBCh. 4 - Renewable energy sources cannot be ___ . (4.6)Ch. 4 - Gasohol is gasoline mixed with ___ . (4.6)Ch. 4 - Prob. 1SACh. 4 - Do all forces do work? Explain.Ch. 4 - What does work on a shuffleboard puck as it slides...Ch. 4 - A weight lifter holds 900 N (about 200 lb) over...Ch. 4 - For the situation in Fig. 4.4a, if the applied...Ch. 4 - Car B is traveling twice as fast as car A, but car...Ch. 4 - Prob. 7SACh. 4 - If the speed of a moving object is doubled, how...Ch. 4 - A book sits on a library shelf 1.5 m above the...Ch. 4 - (a) A car traveling at a constant speed on a level...Ch. 4 - An object is said to have a negative potential...Ch. 4 - Prob. 12SACh. 4 - A ball is dropped from a height at which it has 50...Ch. 4 - Prob. 14SACh. 4 - A simple pendulum as shown in Fig. 4.24...Ch. 4 - Two students throw identical snowballs from the...Ch. 4 - Prob. 17SACh. 4 - When you throw an object into the air, is its...Ch. 4 - Prob. 19SACh. 4 - Persons A and B do the same job, but person B...Ch. 4 - What does a greater power rating mean in terms of...Ch. 4 - What do we pay the electric company for, power or...Ch. 4 - Prob. 23SACh. 4 - Prob. 24SACh. 4 - Prob. 25SACh. 4 - On average, how much energy do you radiate each...Ch. 4 - Prob. 27SACh. 4 - Prob. 28SACh. 4 - Prob. 29SACh. 4 - Prob. 30SACh. 4 - Prob. 1VCCh. 4 - A fellow student tells you that she has both zero...Ch. 4 - Two identical stones are thrown from the top of a...Ch. 4 - A person on a trampoline can go higher with each...Ch. 4 - With which of our five senses can we detect...Ch. 4 - What are three common ways to save electricity to...Ch. 4 - A worker pushes horizontally on a large crate with...Ch. 4 - While rearranging a dorm room, a student does 400...Ch. 4 - A 5.0-kilo bag of sugar is on a counter. How much...Ch. 4 - How much work is required to lift a 6.0-kg...Ch. 4 - A man pushes a lawn mower on a level lawn with a...Ch. 4 - If the man in Exercise 5 pushes the mower with 40%...Ch. 4 - How much work does gravity do on a 0.150-kg ball...Ch. 4 - A student throws the same ball straight upward to...Ch. 4 - (a) What is the kinetic energy in joules of a...Ch. 4 - A 60-kg student traveling in a car with a constant...Ch. 4 - What is the kinetic energy of a 20-kg dog that is...Ch. 4 - Which has more kinetic energy, a 0.0020-kg bullet...Ch. 4 - Prob. 13ECh. 4 - How much farther would the force in Exercise 13...Ch. 4 - What is the potential energy of a 3.00-kg object...Ch. 4 - How much work is required to lift a 3.00-kg object...Ch. 4 - An object is dropped from a height of 12 m. At...Ch. 4 - A 1.0-kg rock is dropped from a height of 6.0 m....Ch. 4 - A sled and rider with a combined weight of 60 kg...Ch. 4 - A 30.0-kg child starting from rest slides down a...Ch. 4 - If the man in Exercise 5 pushes the lawn mower 6.0...Ch. 4 - If the man in Exercise 5 expended 60 W of power in...Ch. 4 - A student who weighs 556 N climbs a stairway...Ch. 4 - A 125-lb student races up stairs with a vertical...Ch. 4 - On a particular day, the following appliances are...Ch. 4 - Prob. 26E
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- Does everything have energy? Give the reasoning for your answer.arrow_forwardCalculate the elastic potential energy of a spring with spring constant k = 225 N/m that is (a) compressed and (b) stretched by 1.00 102 m.arrow_forwardA block of mass 0.250 kg is placed on top of a light, vertical spring of force constant 5 000 N/m and pushed downward so that the spring is compressed by 0.100 m. After the block is released from rest, it travels upward and then leaves the spring. To what maximum height above the point of release does it rise?arrow_forward
- A childs pogo stick (Fig. P7.69) stores energy in a spring with a force constant of 2.50 104 N/m. At position (x = 0.100 m), the spring compression is a maximum and the child is momentarily at rest. At position (x = 0), the spring is relaxed and the child is moving upward. At position , the child is again momentarily at rest at the top of the jump. The combined mass of child and pogo stick is 25.0 kg. Although the boy must lean forward to remain balanced, the angle is small, so lets assume the pogo stick is vertical. Also assume the boy does not bend his legs during the motion. (a) Calculate the total energy of the childstickEarth system, taking both gravitational and elastic potential energies as zero for x = 0. (b) Determine x. (c) Calculate the speed of the child at x = 0. (d) Determine the value of x for which the kinetic energy of the system is a maximum. (e) Calculate the childs maximum upward speed. Figure P7.69arrow_forwardYou are lying in your bedroom, resting after doing your physics homework. As you stare at your ceiling, you come up with the idea for a new game. You grab a dart with a sticky nose and a mass of 19.0 g. You also grab a spring that has been lying on your desk from some previous project. You paint a target pattern on your ceiling. Your new game is to place the spring vertically on the floor, place the sticky-nose dart facing upward on the spring, and push the spring downward until the coils all press together, as on the right in Figure P7.26. You will then release the spring, firing the dart up toward the target on your ceiling, where its sticky nose will make it hang from the ceiling. The spring has an uncompressed end-to-end length of 5.00 cm, as shown on the left in Figure P7.26, and can be compressed to an end-to-end length of 1.00 cm when the coils are all pressed together. Before trying the game, you hold the upper end of the spring in one hand and hang a bundle of ten identical darts from the lower end of the spring. The spring extends by 1.00 cm due to the weight of the darts. You are so excited about the new game that, before doing a test of the game, you run out to gather your friends to show them. When your friends are in your room watching and you show them the first firing of your new game, why are you embarrassed?arrow_forwardA box slides on a frictionless surface with a total energy of 50 J. It hits a spring and compresses the spring a distance of 25 cm from equilibrium. If the same box with the same initial energy slides on a rough surface, it only compresses the spring a distance of 15 cm, how much energy must have been lost by sliding on the rough surface?arrow_forward
- A spring has a spring stiffness constant kkk of 95.0 N/m How much must this spring be compressed to store 20.0 J of potential energy? Express your answer to three significant figures and include the appropriate units.arrow_forwardA 25-kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals 8750 N/m. a) By how much would the spring be compressed by the child if she simply balanced herself vertically on the pedals of the stick? b) How much energy is stored in the spring under this circumstance?arrow_forwardWhen a spring is stretched by 1.00 m, its spring potential energy is 20 J. What is the spring constant, in N/m? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.arrow_forward
- A 0.125 kg mass is placed on a vertically oriented spring that is stretched 0.32 meters from its equilibrium position. If the spring constant is 250 N/m, how fast will the mass be moving when it reaches the equilibrium position? Hint: You cannot ignore the change in gravitational potential energy in this problem. Please give your answer in units of m/s, however, do not explicitly include units when typing your answer into the answer box. Including actual units will result in your answer being incorrectly scored.arrow_forwardA 69 kgkg driver gets into an empty taptap to start the day's work. The springs compress 2.5×10−2 mm . What is the effective spring constant of the spring system in the tapt?arrow_forwardWhen a spring is compressed by 2.0 cm, its spring potential energy is 16.9 J. What will its spring potential energy be if it is stretched by 4.0 cm, in Joule? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.arrow_forward
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