A certain carbon monoxide molecule consists of a carbon atom of mass mc = 14 u and an oxygen atom of mass mo = 18 u that are separated by a distance of d = 122 pm, where "u" is an atomic unit of mass. a. Write a symbolic equation for the location of the center of mass of the carbon monoxide molecule relative to the position of the oxygen atom. This expression should be in terms of the masses of the atoms and the distance between them.

A certain carbon monoxide molecule consists of a carbon atom of mass mc = 14 u and an oxygen atom of mass mo = 18 u that are separated by a distance of d = 122 pm, where "u" is an atomic unit of mass. a. Write a symbolic equation for the location of the center of mass of the carbon monoxide molecule relative to the position of the oxygen atom. This expression should be in terms of the masses of the atoms and the distance between them.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 21PQ

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N 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.
A football player of mass 95 kg is running at a speed of 5.0 m/s down the field as shown in Figure P11.53. A second player of mass 140 kg, running at a speed of 2.5 m/s, tackles the first player so that they move together after the collision. What is the velocity of the two players immediately after the collision? FIGURE P11.53 53. The football players have the same final velocity in this inelastic collision. We can use Equations 11.24 and 11.25 to determine the x and y components of the final velocity. The lighter player (95 kg) moves vertically, so v1ix = 0 and v1iy = 5.00 m/s. The other player (140 kg) moves to the right, so v2ix = 2.5 m/s and v2iy = 0. Therefore, m1v1ix+m2v2ix=(m1+m2)vfx(140kg)(2.5m/s)=(95kg+140kg)vfxvfx=1.5m/sm1v1iy+m2v2iy=(m1+m2)vfy Chapter 11 Collisions11.31 (95kg)(5.00m/s)=(95kg+140kg)vfyvfy=2.0m/s The final velocity is then vf=(1.5i+2.0j)m/s
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 P11.39
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?
One 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.
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)
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In an experiment designed to determine the velocity of a bullet fired by a certain gun, a wooden block of mass M = 500.0 g is supported only by its edges, and a bullet of mass m = 8.00 g is fired vertically upward into the block from close range below. After the bullet embeds itself in the block, the block and the bullet are measured to rise to a maximum height of 25.0 cm above the blocks original position. What is the speed of the bullet just before impact?
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Latoya, 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.