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 17PQ
(a)
To determine
The average of the student’s positions.
(b)
To determine
The position of the student’s center of mass.
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A watermelon is blown into three pieces by a large firecracker. Two pieces of equal mass m fly away perpendicular to one another, one in the x direction another in the y direction. Both of these pieces fly away with a speed of V = 28 m/s. The third piece has three times the mass of the other two pieces.a. Write an expression for the speed of the larger piece, that is in terms of only the variable V. b. What is the numeric value for the speed of the larger piece, in meters per second? c. At what angle does the largest piece travel with respect to the -y axis, in degrees?
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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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- A cart filled with sand rolls at a speed of 1.0 m/s along a horizontal path without friction. A ball of mass m = 2.0 kg is thrown with a horizontal velocity of 8.0 m/s toward the cart as shown in Figure P11.79. The ball gets stuck in the sand. What is the velocity of the cart after the ball strikes it? The mass of the cart is 15 kg. FIGURE P11.79 Problems 79 and 80.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_forwardLatoya, sitting on a sled, is being pushed by Dewain on the horizontal surface of a frozen lake. Dewain slips and falls, giving the sled one final push, and the sled comes to rest 9.50 s later. The speed of the sled after the final push is 4.00 m/s, and the combined mass of the sled and Latoya is 32.5 kg. Using a momentum approach, determine the magnitude of the average friction force acting on the sled during this interval.arrow_forward
- In a laboratory, a cart collides with a wall and bounces back. Figure P11.10 shows a graph of the force exerted by the wall versus time. a. Find the impulse exerted by the wall on the cart. b. What is the average force exerted by the wall on the cart? c. If the cart has a mass of 0.448 kg, what is its change in velocity? d. Make a sketch of the situation. Include a coordinate system and explain the significance of the signs in parts (a) through (c). FIGURE P11.10arrow_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_forwardSven 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_forward
- A submarine with a mass of 6.26 106 kg contains a torpedo with a mass of 354 kg. The submarine fires the torpedo at an angle of 25 with respect to the horizontal as shown in Figure P10.42. a. If the submarine and the torpedo were initially at rest and the torpedo left the submarine with a speed of 89.2 m/s, what is the recoil speed of the submarine? b. What is the direction of recoil of the submarine? FIGURE P10.42arrow_forwardOne object (m1 = 0.200 kg) is moving to the right with a speed of 2.00 m/s when it is struck from behind by another object (m2 = 0.300 kg) that is moving to the right at 6.00 m/s. If friction is negligible and the collision between these objects is elastic, find the final velocity of each.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
- An object of mass m = 4.00 kg that is moving with a speed of 10.0 m/s collides head-on with another object, and the collision lasts 1.50 s. A graph showing the magnitude of the force during the collision versus time is shown in Figure P11.59, where the force is exerted in the direction opposite the initial velocity. Find the speed of the 4.00-kg mass after collision. FIGURE P11.59arrow_forwardTwo pucks in a laboratory are placed on an air table. Puck 1 has twice the mass of puck 2. They are pushed toward each other and strike in a head-on collision. Initially, puck 2 is twice as fast as puck 1. a. What is the total momentum before the collision? b. What is the center-of-mass velocity before the collision? c. If the pucks are initially 2.70 m apart, how far did puck 1 move before the collision?arrow_forwardEstimate the magnitude of the momentum of a car on the highway.arrow_forward
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