Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 8, Problem 35P
To determine
The center of mass of the four objects.
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Chapter 8 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 8.1 - Two objects have equal kinetic energies. How do...Ch. 8.1 - Your physical education teacher throws a baseball...Ch. 8.3 - Prob. 8.3QQCh. 8.4 - A table-tennis ball is thrown at a stationary...Ch. 8.6 - A baseball bat of uniform denisty is cut at the...Ch. 8.7 - Prob. 8.6QQCh. 8 - Prob. 1OQCh. 8 - A head-on, elastic collision occurs between two...Ch. 8 - Prob. 3OQCh. 8 - A 57.0-g tennis ball is traveling straight at a...
Ch. 8 - A 5-kg cart moving to the right with a speed of 6...Ch. 8 - A 2-kg object moving to the right with a speed of...Ch. 8 - The momentum of an object is increased by a factor...Ch. 8 - The kinetic energy of an object is increased by a...Ch. 8 - Prob. 9OQCh. 8 - Prob. 10OQCh. 8 - Prob. 11OQCh. 8 - Prob. 12OQCh. 8 - Prob. 13OQCh. 8 - A ball is suspended by a string that is tied to a...Ch. 8 - A massive tractor is rolling down a country road....Ch. 8 - Prob. 16OQCh. 8 - Prob. 17OQCh. 8 - Prob. 18OQCh. 8 - Prob. 1CQCh. 8 - Prob. 2CQCh. 8 - A bomb, initially at rest, explodes into several...Ch. 8 - Prob. 4CQCh. 8 - Prob. 5CQCh. 8 - A juggler juggles three balls in a continuous...Ch. 8 - Prob. 7CQCh. 8 - Prob. 8CQCh. 8 - Prob. 9CQCh. 8 - Prob. 10CQCh. 8 - Prob. 11CQCh. 8 - Prob. 12CQCh. 8 - An open box slides across a frictionless, icy...Ch. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - A girl of mass mg is standing on a plank of mass...Ch. 8 - Two blocks of masses m and 3m are placed on a...Ch. 8 - Prob. 8PCh. 8 - A 3.00-kg steel ball strikes a wall with a speed...Ch. 8 - A tennis player receives a shot with the ball...Ch. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - In a slow-pitch softball game, a 0.200-kg softball...Ch. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Two blocks are free to slide along the...Ch. 8 - As shown in Figure P8.20, a bullet of mass m and...Ch. 8 - Prob. 21PCh. 8 - A tennis ball of mass mt is held just above a...Ch. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - An object of mass 3.00 kg, moving with an initial...Ch. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - A billiard ball moving at 5.00 m/s strikes a...Ch. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - A water molecule consists of an oxygen atom with...Ch. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - A 2.00-kg particle has a velocity (2.00i3.00j)m/s,...Ch. 8 - Prob. 40PCh. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - Prob. 44PCh. 8 - Prob. 45PCh. 8 - A rocket has total mass Mi = 360 kg, including...Ch. 8 - A model rocket engine has an average thrust of...Ch. 8 - Two gliders are set in motion on a horizontal air...Ch. 8 - Prob. 49PCh. 8 - Prob. 50PCh. 8 - Prob. 51PCh. 8 - Prob. 52PCh. 8 - Prob. 53PCh. 8 - Prob. 54PCh. 8 - A small block of mass m1 = 0.500 kg is released...Ch. 8 - Prob. 56PCh. 8 - A 5.00-g bullet moving with an initial speed of v...Ch. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - A cannon is rigidly attached to a carriage, which...Ch. 8 - Prob. 61PCh. 8 - Prob. 62PCh. 8 - George of the Jungle, with mass m, swings on a...Ch. 8 - Sand from a stationary hopper falls onto a moving...Ch. 8 - Prob. 65P
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- Two metersticks are connected at their ends as shown in Figure P10.18. The center of mass of each individual meterstick is at its midpoint, and the mass of each meterstick is m. a. Where is the center of mass of the two-stick system as depicted in the figure, with the origin located at the intersection of the sticks? b. Can the two-stick system be balanced on the end of your finger so that it remains lying flat in front of you in the orientation shown? Why or why not? FIGURE P10.18 (a) The center of mass of the stick on the x axis would be at (0.5 m, 0), and the center of mass of the stick on the stick on the y axis be at (0, 0.5 m), assuming the sticks are uniform. We can then use Equation 10.3 to find the x and y coordinates of the center of mass. xCM=1Mj=1nmjxj=12m[m(0.50m)]=0.25myCM=1Mj=1nmjyj=12m[m(0.50m)]=0.25m The location of the center of mass is (0.25m,0.25m) (b) No. The location of the center of mass is not located on the object, so your finger would not be in contact with the object. In a different orientation, balancing by applying a force at the center of mass might be possible, but not in the orientation shown.arrow_forwardA small block of mass m1 = 0.500 kg is released from rest at the top of a frictionless, curve-shaped wedge of mass m2 = 3.00 kg, which sits on a frictionless, horizontal surface as shown in Figure P8.55a. When the block leaves the wedge, its velocity is measured to be 4.00 m/s to the right as shown in Figure P8.55b. (a) What is the velocity of the wedge after the block reaches the horizontal surface? (b) What is the height h of the wedge?arrow_forwardA uniform piece of sheet metal is shaped as shown in Figure P9.24. Compute the x and y coordinates of the center of mass of the piece. Figure P9.24arrow_forward
- A water molecule consists of an oxygen atom with two hydrogen atoms bound to it (Fig. P8.36). The angle between the two bonds is 106. If the bonds are 0.100 nm long, where is the center of mass of the molecule? Figure P8.36arrow_forwardCenter of Mass Revisited N Find the center of mass of a system with three particles of masses 1.0 kg, 2.0 kg, and 3.0 kg kept at the vertices of an equilateral triangle of side 1.0 m (Fig. P10.15). FIGURE P10.15arrow_forwardA baseball bat of uniform denisty is cut at the location of its center of mass as shown in Figure 8.17. Which piece has the smaller mass? (a) the piece on the right (b) the piece on the left (c) both pieces have the same mass (d) impossible to determine Figure 8.17 (Quick Quiz 8.5) A baseball bat cut at the location of its center of mass.arrow_forward
- A baseball bat of uniform density is cut at the location of its center of mass as shown in Figure 9.18. Which piece has the smaller mass? (a) the piece on the right (b) the piece on the left (c) both pieces have the same mass (d) impossible to determine Figure 9.18 (Quick Quiz 9.7) A baseball bat cut at the location of its center of mass.arrow_forwardInitially, ball 1 rests on an incline of height h, and ball 2 rests on an incline of height h/2 as shown in Figure P11.40. They are released from rest simultaneously and collide elastically in the trough of the track. If m2 = 4 m1, m1 = 0.045 kg, and h = 0.65 m, what is the velocity of each ball after the collision?arrow_forwardA tennis ball of mass 57.0 g is held just above a basketball of mass 590 g. With their centers vertically aligned, both balls are released from rest at the same time, falling through a distance of 1.20 m, as shown in Figure P6.45. (a) Find the magnitude of the basketballs velocity the instant before the basketball reaches the ground. (b) Assume that an elastic collision with the ground instantaneously reverses the velocity of the basketball so that it collides with the tennis ball just above it. To what height does the tennis ball rebound? Figure P6.45arrow_forward
- Two bumper cars at the county fair are sliding toward one another (Fig. P11.54). Initially, bumper car 1 is traveling to the east at 5.62 m/s, and bumper car 2 is traveling 60.0 south of west at 10.00 m/s. They collide and stick together, as the driver of one car reaches out and grabs hold of the other driver. The two bumper cars move off together after the collision, and friction is negligible between the cars and the ground. a. If the masses of bumper cars 1 and 2 are 596 kg and 625 kg respectively, what is the velocity of the bumper cars immediately after the collision? b. What is the kinetic energy lost in the collision? c. Compare your answers to part (b) from this and Problem 54. Is one answer larger than the other? Discuss and explain any differences you find.arrow_forwardA tennis ball of mass mt is held just above a basketball of mass mb, as shown in Figure P8.22. With their centers vertically aligned, both are released from rest at the same moment so that the bottom of the basketball falls freely through a height h and strikes the floor. Assume an elastic collision with the ground instantaneously reverses the velocity of the basketball while the tennis ball is still moving down because the balls have separated a bit while falling. Next, the two balls meet in an elastic collision. (a) To what height does the tennis ball rebound? (b) How do you account for the height in (a) being larger than h? Does that seem like a violation of conservation of energy? Figure P8.22arrow_forwardSand from a stationary hopper falls onto a moving conveyor belt at the rate of 5.00 kg/s as shown in Figure P8.64. The conveyor belt is supported by frictionless rollers and moves at a constant speed of v = 0.750 m/s under the action of a constant horizontal external force Fext supplied by the motor that drives the belt. Find (a) the sands rate of change of momentum in the horizontal direction, (b) the force of friction exerted by the belt on the sand, (c) the external force Fext, (d) the work done by Fext in 1 s, and (e) the kinetic energy acquired by the falling sand each second due to the change in its horizontal motion. (f) Why are the answers to parts (d) and (e) different? Figure P8.64arrow_forward
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