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 20PQ
To determine
The position of the center of mass of a person.
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In the figure, m1 =1 kg, m2 = 0.5 kg, and m3 = 1.5 kg.
y (m)A
2
1
x (m)
3
a. What is the x-component of the center of mass?
b. What is the y-component of the center of mass?
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solve and draw the center of mass of the point masses
m1=15kg,m2=20kg, m3=50kg
x1=5m, x2=8m, x3=6m
1. A cardboard box is in the shape of a cube with each side of length L. If the top of the box is missing, where is the center of mass of the open box? Give your answer relative to the geometric center of the box. Explain.
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- 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 P10.15arrow_forwardIn a head-on, inelastic collision, a 4,000-kg truck going 10 m/s east strikes a 1,000-kg car going 20 m/s west. (a) What is the speed and direction of the wreckage? (b) How much kinetic energy was lost in the Collision?arrow_forwardA truck collides with a small, empty parked car. Explain your answers to the parts below. a. Compare the force exerted by the truck on the car with the force exerted by the car on the truck. b. Compare the impulse exerted by the truck on the car with the impulse exerted by the car on the truck. c. Compare the change in the trucks momentum with the change in the cars momentum.arrow_forward
- A 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_forwardEstimate the magnitude of the momentum of a car on the highway.arrow_forwardCheck Your Understanding Suppose you have a macroscopic salt crystal (that is, a crystal that is large enough to be visible with your unaided eye). It is made up of a huge number of unit cells. Is the center of mass of this crystal necessarily at the geometric center of the crystal?arrow_forward
- The figure below shows a cubical box that has been constructed from uniform metal plate of negligible thickness. The box is open at the top and has edge length L = 51 cm. (a) Find the x coordinate of the center of mass of the box. cm (b) Find the y coordinate of the center of mass of the box. cm (c) Find the z coordinate of the center of mass of the box. cm Additional Materials O eBookarrow_forwardChoose True if the information found on the statement is CORRECT and false if it is INCORRECT. True False The center of mass can be represented by a pair of coordinates. The units of Impulse (N s) and Momentum (kg m/s) the same. Center of mass and the centroid of an object are always in the same place. We can locate the center of mass of a system even though it is constantly changing. It is possible to have perfectly elastic collision. Prolonging the time of contact between two objects increases the force of impact. You can change an object's momentum without changing its mass or velocity The coefficient of restitution be negative. When the coefficient of restitution is equals 0, it means that the objects stick together after collision. Elastic collision means that there is a noticeable loss of kinetic energy before and after the collision.arrow_forwardExplain why or why not Determine whether the following statementsare true and give an explanation or counterexample.a. A thin plate of constant density that is symmetric about the x-axis has a center of mass with an x-coordinate of zero.b. A thin plate of constant density that is symmetric about both the x-axis and the y-axis has its center of mass at the origin.c. The center of mass of a thin plate must lie on the plate.d. The center of mass of a connected solid region (all in one piece) must lie within the region.arrow_forward
- The mass of the wire is 47 g and the length of the wire is 2.4 m. Determine the x-coordinate for the center of mass in meters. 1.Write an expression for the center of mass XCM of the wire about the x-axis. 2.Write an expression for the center of mass YCM of the wire about the y-axis. 3.the mass of the wire is 47 g and the length of the wire is 2.4 m. Determine the x-coordinate for the center of mass in meters.arrow_forward3 SAMPLE 2.43 Shift of mass-center due to cut-outs: A 2m x 2m uniform square plate has mass m = 4 kg. A circular section of radius 250 mm is cut out from the plate as shown in the figure. Find the center of mass of the plate. 2m 2m 5m 25 marrow_forwardPlease explain answerarrow_forward
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