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 34P
To determine
The x and y co-ordinates of the center of mass of the piece.
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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 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_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_forward
- 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_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_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_forward
- Two 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_forwardA 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_forwardAssume the pucks in Figure P11.66 stick together after theircollision at the origin. Puck 2 has four times the mass of puck 1 (m2 = 4m1). Initially, puck 1s speed is three times puck 2s speed (v1i = 3v2i), puck 1s position is r1i=x1ii, and puck 2s position is r2i=y2ij. a. Find an expression for their velocity after the collision in terms of puck 1s initial velocity. b. What is the fraction Kf/Ki that remains in the system?arrow_forward
- A 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_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_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_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