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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Chapter 4, Problem 1AYK
A fellow student tells you that she has both zero kinetic energy and zero potential energy. Is this possible? Explain.
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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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- (a) Can the kinetic energy of a system be negative? (b) Can the gravitational potential energy of a system be negative? Explain.arrow_forwardCheck Your understanding In Example 8.1 what are the potential energies of the particle at x=1 m and x=2 m with respect to zero at x=1.5 ?verify that the difference of potential energy is still 7 J.arrow_forwardA system consists of three particles, each of mass 5.00 g, located at the corners of an equilateral triangle with sides of 30.0 cm. (a) Calculate the gravitational potential energy of the system. (b) Assume the particles are released simultaneously. Describe the subsequent motion of each. Will any collisions take place? Explain.arrow_forward
- (a) Sketch a graph of the potential energy function U(x)=kx2/2+Aex2 where k , A, and are constants. (b) What is the force corresponding to this potential energy? (c) Suppose a particle of mass in moving with this potential energy has a velocity v when its position is x = . Show that the particle does not pass 2+2 through the origin unless Amv2=k22(1e a 2 ) .arrow_forwardA 4.00-kg particle moves from the origin to position , having coordinates x = 5.00 m and y = 5.00 m (Fig. P7.31). One force on the particle is the gravitational force acting in the negative y direction. Using Equation 7.3, calculate the work done by the gravitational force on the particle as it goes from O to along (a) the purple path, (b) the red path, and (c) the blue path, (d) Your results should all be identical. Why? Figure P7.31arrow_forwardA small block of mass m = 200 g is released from rest at point along the horizontal diameter on the inside of a frictionless, hemispherical bowl of radius R = 30.0 cm (Fig. P8.43). Calculate (a) the gravitational potential energy of the block-Earth system when the block is at point relative to point . (b) the kinetic energy of the block at point . (c) its speed at point B, and (d) its kinetic energy and the potential energy when the block is at point . Figure P8.43 Problems 43 and 44.arrow_forward
- A ball is connected to a light spring suspended vertically as shown in Figure 6.17. When pulled downward from its equilibrium position and released, the ball oscillates up and down. (i) In the system of the ball, the spring, and the Earth, what forms of energy are there during the motion? (a) kinetic and elastic potential (b) kinetic and gravitational potential (c) kinetic, elastic potential, and gravitational potential (d) elastic potential and gravitational potential (ii) In the system of the ball and the spring, what forms of energy are there during the motion? Choose from the same possibilities (a) through (d).arrow_forwardA mechanic pushes a 2.50 103-kg car from rest to a speed of v, doing 5.00 103 J of work in the process. During this time, the car moves 25.0 m. Neglecting friction between car and road, find (a) v and (b) the horizontal force excited on the car.arrow_forwardIntegrated Concepts A 105-kg basketball player crouches down 0.400 m while waiting to jump. After exerting a force on the floor through this 0.400 m, his feet leave the floor and his center of gravity rises 0.950 m above its normal standing erect position. (a) Using energy considerations, calculate his velocity when he leaves the floor. (b) What average force did he exert on the floor? (Do not neglect the force to support his weight as well as that to accelerate him.) (c) What was his power output during the acceleration phase?arrow_forward
- Integrated Concepts (a) What force must be supplied by an elevator cable to produce an acceleration of 0.800 m/s2 against a 200-N frictional force, if the mass of the loaded elevator is 1500 kg? (b) How much work is done by the cable in lifting the elevator 20.0 m? (c) What is the final speed of the elevator if it starts from rest? (d) How much work went into thermal energy?arrow_forwardA nonconstant force is exerted on a particle as it moves in the positive direction along the x axis. Figure P9.26 shows a graph of this force Fx versus the particles position x. Find the work done by this force on the particle as the particle moves as follows. a. From xi = 0 to xf = 10.0 m b. From xi = 10.0 to xf = 20.0 m c. From xi = 0 to xf = 20.0 m FIGURE P9.26 Problems 26 and 27.arrow_forwardA particle moves in the xy plane (Fig. P9.30) from the origin to a point having coordinates x = 7.00 m and y = 4.00 m under the influence of a force given by F=3y2+x. a. What is the work done on the particle by the force F if it moves along path 1 (shown in red)? b. What is the work done on the particle by the force F if it moves along path 2 (shown in blue)? c. What is the work done on the particle by the force F if it moves along path 3 (shown in green)? d. Is the force F conservative or nonconservative? Explain. FIGURE P9.30 In each case, the work is found using the integral of Fdr along the path (Equation 9.21). W=rtrfFdr=rtrf(Fxdx+Fydy+Fzdz) (a) The work done along path 1, we first need to integrate along dr=dxi from (0,0) to (7,0) and then along dr=dyj from (7,0) to (7,4): W1=x=0;y=0x=7;y=0(3y2i+xj)(dxi)+x=7;y=0x=7;y=4(3y2i+xj)(dyj) Performing the dot products, we get W1=x=0;y=0x=7;y=03y2dx+x=7;y=0x=7;y=4xdy Along the first part of this path, y = 0 therefore the first integral equals zero. For the second integral, x is constant and can be pulled out of the integral, and we can evaluate dy. W1=0+x=7;y=0x=7;y=4xdy=xy|x=7;y=0x=7;y=4=28J (b) The work done along path 2 is along dr=dyj from (0,0) to (0,4) and then along dr=dxi from (0,4) to (7,4): W2=x=0;y=0x=0;y=4(3y2i+xj)(dyj)+x=0;y=4x=7;y=4(3y2i+xj)(dyi) Performing the dot product, we get: W2=x=0;y=0x=0;y=4xdy+x=0;y=4x=7;y=43y2dx Along the first part of this path, x = 0. Therefore, the first integral equals zero. For the second integral, y is constant and can be pulled out of the integral, and we can evaluate dx. W2=0+3y2x|x=0;y=4x=7;y=4=336J (c) To find the work along the third path, we first write the expression for the work integral. W=rtrfFdr=rtrf(Fxdx+Fydy+Fzdz)W=rtrf(3y2dx+xdy)(1) At first glance, this appears quite simple, but we cant integrate xdy=xy like we might have above because the value of x changes as we vary y (i.e., x is a function of y.) [In parts (a) and (b), on a straight horizontal or vertical line, only x or y changes]. One approach is to parameterize both x and y as a function of another variable, say t, and write each integral in terms of only x or y. Constraining dr to be along the desired line, we can relate dx and dy: tan=dydxdy=tandxanddx=dytan(2) Now, use equation (2) in (1) to express each integral in terms of only one variable. W=x=0;y=0x=7;y=43y2dx+x=0;y=0x=7;y=4xdyW=y=0y=43y2dytan+x=0x=7xtandx We can determine the tangent of the angle, which is constant (the angle is the angle of the line with respect to the horizontal). tan=4.007.00=0.570 Insert the value of the tangent and solve the integrals. W=30.570y33|y=0y=4+0.570x22|x=0x=7W=112+14=126J (d) Since the work done is not path-independent, this is non-conservative force. Figure P9.30ANSarrow_forward
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