Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 10, Problem 15PQ
Center 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 P10.15
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Chapter 10 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 10.1 - What Do You Already Know About Rockets? Think...Ch. 10.3 - Prob. 10.2CECh. 10.3 - Prob. 10.3CECh. 10.3 - Prob. 10.4CECh. 10.5 - What is the purpose of the ropes attached to the...Ch. 10 - Prob. 1PQCh. 10 - Prob. 2PQCh. 10 - Prob. 3PQCh. 10 - A mother pushes her son in a stroller at a...Ch. 10 - Prob. 5PQ
Ch. 10 - Estimate the magnitude of the momentum of a car on...Ch. 10 - Prob. 7PQCh. 10 - Prob. 8PQCh. 10 - What is the magnitude of the Earths momentum...Ch. 10 - The velocity of a 10-kg object is given by...Ch. 10 - A particle has a momentum of magnitude 40.0 kg ...Ch. 10 - Prob. 12PQCh. 10 - Latoya, sitting on a sled, is being pushed by...Ch. 10 - A baseball is thrown vertically upward. The mass...Ch. 10 - Center of Mass Revisited N Find the center of mass...Ch. 10 - Prob. 16PQCh. 10 - Prob. 17PQCh. 10 - Two metersticks are connected at their ends as...Ch. 10 - A boy of mass 25.0 kg is sitting on one side of a...Ch. 10 - Prob. 20PQCh. 10 - Prob. 21PQCh. 10 - Prob. 22PQCh. 10 - Prob. 23PQCh. 10 - Prob. 24PQCh. 10 - Prob. 25PQCh. 10 - A person of mass m stands on a rope ladder that is...Ch. 10 - Prob. 27PQCh. 10 - Prob. 28PQCh. 10 - Two particles with masses 2.0 kg and 4.0 kg are...Ch. 10 - A billiard player sends the cue ball toward a...Ch. 10 - A crate of mass M is initially at rest on a...Ch. 10 - Prob. 32PQCh. 10 - Prob. 33PQCh. 10 - According to the National Academy of Sciences, the...Ch. 10 - Prob. 35PQCh. 10 - Prob. 36PQCh. 10 - Prob. 37PQCh. 10 - Usually, we do not walk or even stand on a...Ch. 10 - Prob. 39PQCh. 10 - There is a compressed spring between two...Ch. 10 - There is a compressed spring between two...Ch. 10 - A submarine with a mass of 6.26 106 kg contains a...Ch. 10 - A 44.0-kg child finds himself trapped on the...Ch. 10 - Problems 44 and 45 are paired. C A model rocket is...Ch. 10 - A model rocket is shot straight up and explodes at...Ch. 10 - An astronaut finds herself in a predicament in...Ch. 10 - Prob. 47PQCh. 10 - Prob. 48PQCh. 10 - Prob. 49PQCh. 10 - Prob. 50PQCh. 10 - The space shuttle uses its thrusters with an...Ch. 10 - Prob. 52PQCh. 10 - Prob. 53PQCh. 10 - Prob. 54PQCh. 10 - Prob. 55PQCh. 10 - The cryogenic main stage of a rocket has an...Ch. 10 - To lift off from the Moon, a 9.50 105 kg rocket...Ch. 10 - Prob. 58PQCh. 10 - Prob. 59PQCh. 10 - Prob. 60PQCh. 10 - Prob. 61PQCh. 10 - An astronaut out on a spacewalk to construct a new...Ch. 10 - Prob. 63PQCh. 10 - Prob. 64PQCh. 10 - A racquetball of mass m = 43.0 g, initially moving...Ch. 10 - Prob. 66PQCh. 10 - Prob. 67PQCh. 10 - Prob. 68PQCh. 10 - A comet is traveling through space with speed 3.33...Ch. 10 - A ballistic pendulum is used to measure the speed...Ch. 10 - Prob. 71PQCh. 10 - Prob. 72PQCh. 10 - Prob. 73PQCh. 10 - Figure P10.74 provides artists with human...Ch. 10 - Prob. 75PQCh. 10 - A single-stage rocket of mass 308 metric tons (not...Ch. 10 - Prob. 77PQCh. 10 - A light spring is attached to a block of mass 4m...Ch. 10 - Prob. 79PQCh. 10 - Prob. 80PQCh. 10 - A Show that the total momentum of a system of...Ch. 10 - Prob. 82PQCh. 10 - Prob. 83PQ
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- Sven hits a baseball (m = 0.15 kg). He applies an average force of 50.0 N. The ball had an initial velocity of 35.0 m/s to the right and a final velocity of 40.0 m/s to the left as viewed by a fan in the stands. a. What is the impulse delivered by Svens bat to the baseball? b. How long is his bat in contact with the ball?arrow_forwardThe space shuttle uses its thrusters with an exhaust velocity of 4440 m/s. The shuttle is initially at rest in space and accelerates to a final speed of 1.00 km/s. a. What percentage of the initial mass of the shuttle (including the full fuel tank) must be ejected to reach that speed? b. If the mass of the shuttle and fuel is initially 1.85 106 kg, how much fuel is expelled?arrow_forwardA ball of mass 50.0 g is dropped from a height of 10.0 m. It rebounds after losing 75% of its kinetic energy during the collision process. If the collision with the ground took 0.010 s, find the magnitude of the impulse experienced by the ball.arrow_forward
- 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_forwardTwo objects collide head-on (Fig. P11.39). The first object is moving with an initial speed of 8.00 m/s, and the second object is moving with an initial speed of 10.00 m/s. Assuming the collision is elastic, m1 = 5.15 kg, and m2 = 6.25 kg, determine the final velocity of each object. FIGURE P11.39arrow_forwardN A bomb explodes into three pieces A, B, and C of equal mass. Piece A flies with a speed of 40.0 m/s, and piece B with a speed of 30.0 m/s at an angle of 90° relative to the direction of A as shown in Figure P11.57. Determine the speed of piece C and the direction of its velocity relative to the direction of piece A.arrow_forward
- A proton with an initial speed of 2.00 108 m/s in the x direction collides elastically with another proton initially at rest. The first protons velocity after the collision is 1.64 108 m/s at an angle of 35.0 with the horizontal. What is the velocity of the second proton after the collision?arrow_forwardA bullet of mass m is fired into a ballistic pendulum and embeds itself in the wooden bob of mass M (Fig. P11.33). After the collision, the pendulum reaches a maximum height h above its original position. a. Show that the kinetic energy of the system decreases by the factor m/(m + M) immediately after the collision. b. What is the change in momentum of the bullet-bob system due to the collision? FIGURE P11.33arrow_forwardA pendulum consists of a wooden bob of mass M suspended by a massless rod of length . A bullet of mass mM is fired horizontally with speed v at the bob and emerges from the bob with speed v/3 as shown in Figure P11.72. If the pendulum bob just barely reaches the highest point such that it is able to swing through one complete circle, find an expression for the speed v of the bullet before the collision. FIGURE P11.72arrow_forward
- A car crashes into a large tree that does not move. The car goes from 30 m/s to 0 in 1.3 m. (a) What impulse is applied to the driver by the seatbelt, assuming he follows the same motion as the car? (b) What is the average force applied to the driver by the seatbelt?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 Show that the total momentum of a system of particles equals the momentum of the center of mass: ptot=j=1npj=pCM(10.8)arrow_forward
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Impulse Derivation and Demonstration; Author: Flipping Physics;https://www.youtube.com/watch?v=9rwkTnTOB0s;License: Standard YouTube License, CC-BY