College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Textbook Question
Chapter 5.1, Problem 5.1QQ
In Figure 5.5 (a)-(d), a block moves to the right in the positive x-direction through the displacement Δ
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Chapter 5 Solutions
College Physics
Ch. 5.1 - In Figure 5.5 (a)-(d), a block moves to the right...Ch. 5.3 - Three identical halls are thrown from the top of a...Ch. 5.3 - Bob, of mass m, drops from a tree limb at the same...Ch. 5.5 - Prob. 5.4QQCh. 5 - Physics Review A crane lifts a loud of bricks of...Ch. 5 - Physics Review A crate of mass 20.0 kg rest on a...Ch. 5 - Calculate the work done by an applied force of...Ch. 5 - Prob. 4WUECh. 5 - Prob. 5WUECh. 5 - A 4.00-kg crate Marling at rest slides dawn a...
Ch. 5 - A skier leaves a ski jump at 15.0 m/s at some...Ch. 5 - A block of mass 3.00 kg is placed against a...Ch. 5 - What average mechanical power must a 70.0-kg...Ch. 5 - A puck of mass 0.170 kg slides across ice in the...Ch. 5 - Consider a tug-of-war as in Figure CQ5.1, in which...Ch. 5 - During a stress test of the cardiovascular system,...Ch. 5 - (a) If the height of a playground slide is kept...Ch. 5 - (a) Can the kinetic energy of a system be...Ch. 5 - Roads going up mountains are formed into...Ch. 5 - A bowling ball is suspended from the ceiling of a...Ch. 5 - As a simple pendulum swings back and forth, the...Ch. 5 - Discuss whether any work is being done by each of...Ch. 5 - When a punter kicks a football, is he doing any...Ch. 5 - The driver of a car slams on her brakes to avoid...Ch. 5 - A weight is connected to a spring that is...Ch. 5 - In most situations we have encountered in this...Ch. 5 - Suppose you are reshelving books in a library. As...Ch. 5 - The feet of a standing person of mass m exert a...Ch. 5 - An Earth satellite is in a circular orbit at an...Ch. 5 - Mark and David are loading identical cement blocks...Ch. 5 - If the speed of a particle is doubled, what...Ch. 5 - A certain truck has twice the mass of a car. Both...Ch. 5 - If the net work done on a particle is zero, which...Ch. 5 - A car accelerates uniformly from rest. Ignoring...Ch. 5 - A weight lifter lifts a 350-N set of weights from...Ch. 5 - In 1990 Walter Arfeuille of Belgium lifted a...Ch. 5 - Prob. 3PCh. 5 - a shopper in a supermarket pushes a cart with a...Ch. 5 - Starting from rest, a 5.00-kg block slides 2.50 m...Ch. 5 - A horizontal force of 150 N is used to push a...Ch. 5 - A sledge loaded with bricks has a total mass of...Ch. 5 - A block of mass m = 2.50 kg is pushed a distance d...Ch. 5 - A mechanic pushes a 2.50 103-kg car from rest to...Ch. 5 - A 7.00-kg bowling ball moves at 3.00 m/s. How fast...Ch. 5 - A 65.0-kg runner has a speed of 5.20 m/s at one...Ch. 5 - A worker pushing a 35.0-kg wooden crate at a...Ch. 5 - A 70-kg base runner begins his slide into second...Ch. 5 - A running 62-kg cheetah has a top speed of 32 m/s....Ch. 5 - A 7.80-g bullet moving at 575 m/s penetrates a...Ch. 5 - A 0.60-kg particle has a speed of 2.0 m/s at point...Ch. 5 - A large cruise ship of mass 6.50 107 kg has a...Ch. 5 - A man pushing a crate of mass m = 92.0 kg at a...Ch. 5 - A 0.20-kg stone is held 1.3 m above the top edge...Ch. 5 - When a 2.50-kg object is hung vertically on a...Ch. 5 - In a control system, an accelerometer consists of...Ch. 5 - A 60.0-kg athlete leaps straight up into the air...Ch. 5 - A 2.10 103-kg pile driver is used to drive a...Ch. 5 - Two blocks are connected by a light string that...Ch. 5 - A daredevil on a motorcycle leaves the end of a...Ch. 5 - Truck suspensions often have helper springs dial...Ch. 5 - The chin-up is one exercise that can be used to...Ch. 5 - A flea is able to jump about 0.5 m. It has been...Ch. 5 - A 50.0-kg projectile is fired at an angle of 30.0...Ch. 5 - A projectile of mass m is fired horizontally with...Ch. 5 - A horizontal spring attached to a wall has a force...Ch. 5 - A 50.-kg pole vaulter running at 10. m/s vaults...Ch. 5 - A child and a sled with a combined mass of 50.0 kg...Ch. 5 - Hookes law describes a certain light spring of...Ch. 5 - A 0.250-kg block along a horizontal track has a...Ch. 5 - A block of mass m = 5.00 kg is released from rest...Ch. 5 - Tarzan savings on a 30.0-m-long vine initially...Ch. 5 - Two blocks are connected by a light string that...Ch. 5 - The launching mechanism of a toy gun consists of a...Ch. 5 - (a) A block with a mass m is pulled along a...Ch. 5 - (a) A child slides down a water slide at an...Ch. 5 - An airplane of mass 1.50 104 kg is moving at 60.0...Ch. 5 - The system shown in Figure P5.43 is used to lift...Ch. 5 - A 25.0-kg child on a 2.00-m-long swing is released...Ch. 5 - A 2.1 103-kg car starts from rest at the top of a...Ch. 5 - A child of mass m starts from rest and slides...Ch. 5 - A skier starts from rest at the top of a hill that...Ch. 5 - In a circus performance, a monkey is strapped to a...Ch. 5 - An 80.0-kg skydiver jumps out of a balloon at an...Ch. 5 - Q A skier of mass 70.0 kg is pulled up a slope by...Ch. 5 - A 3.50-kN piano is lilted by three workers at...Ch. 5 - While running, a person dissipates about 0.60 J of...Ch. 5 - The electric motor of a model train accelerates...Ch. 5 - When an automobile moves with constant speed down...Ch. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - A 1.50 103-kg car starts from rest and...Ch. 5 - A 6.50 102-kg elevator starts from rest and moves...Ch. 5 - The force acting on a particle varies as in Figure...Ch. 5 - An object of mass 3.00 kg is subject to a force Fx...Ch. 5 - The force acting on an object is given by Fx = (8x...Ch. 5 - An outfielder throws a 0.150-kg baseball at a...Ch. 5 - A person doing a chin-up weighs 700 N, exclusive...Ch. 5 - A boy starts at rest and slides down a...Ch. 5 - A roller-coaster car of mass 1.50 103 kg is...Ch. 5 - A ball of mass m = 1.80 kg is released from rest...Ch. 5 - An archer pulls her bowstring back 0.400 m by...Ch. 5 - A block of mass 12.0 kg slides from rest down a...Ch. 5 - (a) A 75-kg man steps out a window and falls (from...Ch. 5 - A toy gun uses a spring to project a 5.3-g soft...Ch. 5 - Two objects (m1 = 5.00 kg and m2 = 3.00 kg) are...Ch. 5 - In a needle biopsy, a narrow strip of tissue is...Ch. 5 - A 2.00 102-g particle is released from rest at...Ch. 5 - The particle described in Problem 71 (Fig. P5.71)...Ch. 5 - A light spring with spring constant 1.20 103 N/m...Ch. 5 - Prob. 76APCh. 5 - In terms of saving energy, bicycling and walking...Ch. 5 - Energy is conventionally measured in Calories as...Ch. 5 - A ski jumper starts from rest 50.0 m above the...Ch. 5 - A 5.0-kg block is pushed 3.0 m up a vertical wall...Ch. 5 - A childs pogo slick (Fig. P5.77) stores energy in...Ch. 5 - A hummingbird is able to hover because, as the...Ch. 5 - In the dangerous sport of bungee jumping, a daring...Ch. 5 - The masses of the javelin, discus, and shot are...Ch. 5 - A truck travels uphill with constant velocity on a...Ch. 5 - A daredevil wishes to bungee-jump from a hot-air...Ch. 5 - Prob. 87APCh. 5 - An object of mass m is suspended from the top of a...Ch. 5 - Three objects with masses m1 = 5.00 kg, m2 = 10.0...Ch. 5 - Prob. 90APCh. 5 - Prob. 91APCh. 5 - Two blocks, A and B (with mass 50.0 kg and 1.00 ...
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- Consider a particle on which a force acts that depends on the position of the particle. This force is given by . Find the work done by this force when the particle moves from the origin to a point 5 meters to the right on the x-axis.arrow_forward(a) A force F=(4xi+3yj), where F is in newtons and x and y are in meters, acts on an object as the object moves in the x direction from the origin to x = 5.00 m. Find the work W=Fdr done by the force on the object. (b) What If? Find the work W=Fdr done by the force on the object if it moves from the origin to (5.00 m, 5.00 m) along a straightline path making an angle of 45.0 with the positive x axis. Is the work done by this force dependent on the path taken between the initial and final points?arrow_forwardRepeat the preceding problem, but this time, suppose that the work done by air resistance cannot be ignored. Let the work done by the air resistance when the skier goes from A to B along the given hilly path be —2000 J. The work done by air resistance is negative since the air resistance acts in the opposite direction to the displacement. Supposing the mass of the skier is 50 kg, what is the speed of the skier at point B ?arrow_forward
- A 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_forwardConsider a particle on which several forces act, one of which is known to be constant in time: . As a result, the particle moves along the x-axis from x=0 to x=5 m in some time interval. What is the work done by ?arrow_forwardA force F = (6i 2j) N acts on a panicle that under-goes a displacement r = (3i + j) m. Find (a) the work done by the force on the particle and (b) the angle between F and r.arrow_forward
- Find the work done by the same force in Example 7.4, between the same points, A=(0,0) and B=(2m,2m) , over a circular arc of radius 2 m, centered at (0,2m) . Evaluate the path integral using Cartesian coordinates. (Hint: You will probably need to consult a table of integrals.)arrow_forwardIf the net work done by external forces on a particle is zero, which of the following statements about the particle must be true? (a) Its velocity is zero. (b) Its velocity is decreased. (c) Its velocity is unchanged. (d) Its speed is unchanged. (e) More information is needed.arrow_forwardTwo bodies are interacting by a conservative force Show that the mechanical energy of an isolated system consisting of two bodies interacting with a conservative force is conserved. (Hint: Start by using Newton’s third law and the definition of work to find the work done on each body by the conservative force.)arrow_forward
- Consider a particle on which several forces act, one of which is known to be constant in time: . As a result, the particle moves along the x-axis from x=0 to x=5 m and then parallel to the y-axis from y=0 to y=6 m. What is the work done by ?arrow_forwardAs a young man, Tarzan climbed up a vine to reach his tree house. As he got older, he decided to build and use a staircase instead. Since the work of the gravitational force mg is path Independent, what did the King of the Apes gain in using stairs?arrow_forward“ E=K+Uconstant is a special case of the work energy theorem.” Discuss this statement.arrow_forward
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Mechanical work done (GCSE Physics); Author: Dr de Bruin's Classroom;https://www.youtube.com/watch?v=OapgRhYDMvw;License: Standard YouTube License, CC-BY