A baseball player uses a bat with mass mbat to hit a ball with mass mball. Right before he hits the ball, the bat's initial velocity is 33.5 m/s, and the ball's initial velocity is -27.7 m/s (the positive direction is along the positive x-axis). The bat and ball undergo a one-dimensional elastic collision. Find the speed of the ball after the collision. Assume that mat is much greater than mball, so the center of mass of the two objects is essentially at the bat.

A baseball player uses a bat with mass mbat to hit a ball with mass mball. Right before he hits the ball, the bat's initial velocity is 33.5 m/s, and the ball's initial velocity is -27.7 m/s (the positive direction is along the positive x-axis). The bat and ball undergo a one-dimensional elastic collision. Find the speed of the ball after the collision. Assume that mat is much greater than mball, so the center of mass of the two objects is essentially at the bat.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Two cars (A and B) of equal mass have an elastic collision. Prior to the collision, car A is moving at 20 m/s in the +x-direction, and car B is moving at 10 m/s in the –x-direction. Assuming that both cars continue moving along the x-axis after the collision, what will be the velocities of each car after the collision?
Two blocks, m1 = 1.50 kg and m2 = 3.00 kg, are traveling to the right along africtionless surface. Block m1, moving 4.00 m/s, catches up to block m2, moving 2.50 m/s, and the two blocks undergo an elastic collision.(a) Determine the velocity of each block after the collision. (b) Prove that the collision was, in fact, elastic.
Two titanium spheres approach each other head-on with the same speed and collide elastically. After the collision, one of the spheres, whose mass is 480 g, remains at rest. (a) What is the mass of the other sphere? (b) What is the speed of the two-sphere center of mass if the initial speed of each sphere is 4.7 m/s?
Box 1 is sitting at rest. Box 2 is moving to the left when it collides with Box 1 (see figure). This time the two boxes stick together after the collision. The surface is frictionless. Take the right to be the positive x-direction.The mass of Box 1 is 3.80 kg. The mass of Box 2 is 5.60 kg. The speed of Box 2 is 1.20 m/s before the collision. The speed of the boxes together is 0.715 m/s after the collision.What is the total kinetic energy (both boxes) after the collision?
A billiard ball A with 0.25 kg mass moving to the +x direction at 3.5 m/s strikes another ball B with a mass of 400 grams moving to the - x direction at 5.5m/s. What is the velocity of ball B after collision assuming it's a completely elastic collision?
One object is at rest, and another is moving. The two collide in a one-dimensional, completely inelastic collision. In other words, they stick together after the collision and move off with a common velocity. Momentum is conserved. The speed of the object that is moving initially is 22 m/s. The masses of the two objects are 3.1 and 7.1 kg. Determine the final speed of the two-object system after the collision for the case (a) when the large-mass object is the one moving initially and the case (b) when the small-mass object is the one moving initially. (a) Vf = i (b) vf= i
A 0.15 kg baseball is struck by a bat with a contact time of 0.008 seconds. The ball leaves the bat with a speed of 45 m/s (parallel to the ground). What is the force imparted on the baseball by the bat? Assume this is an elastic collision.
A block of mass m = 8.40 kg, moving on a horizontal frictionless surface with a speed 4.20 m/s, makes a perfectly elastic collision with a block of mass M at rest. After the collision, the 8.40 block recoils with a speed of 0.400 m/s. In the figure, the blocks are in contact for 0.200 s. The magnitude of the average force on the 8.40-kg block, while the two blocks are in contact, is closest to vf m M M Before After
Two metal blocks are sliding across a frictionless floor. Block one has a mass of 4.75 kg and is sliding with a velocity of 3.25 m/s east (take east to be the positive x-direction). Block two has a mass of 7.25 kg and is sliding with a velocity of 7.39 m/s north (take north to be the positive y-direction). They collide and bounce apart but it is NOT a perfectly elastic collision. After the collision, block one is moving at 4.50 m/s at 75.0º north of east. Determine block two’s velocity in the Y-DIRECTION after the collision. (Report your answer in units of m/s, but only type the numerical answer (and any applicable sign).)
A body of mass 600 g is initially at rest. It is struck by a second body of mass 400g initially moving with a velocity of 125 cm/s toward the right along the x-axis. After the collision, the 400 g body gas a velocity of 100 cm/s at an angle of 37 ° above the x-axis in the first quadrant. Both bodies move on a horizontal frictionless plane.a) What is the magnitude and direction of the velocity of the 600 g body after the collision?b) What is the loss o kinetic energy during the collision?
One object is at rest, and another is moving. The two collide in a one-dimensional, completely inelastic collision. In other words, they stick together after the collision and move off with a common velocity. Momentum is conserved. The speed of the object that is moving initially is 21 m/s. The masses of the two objects are 2.7 and 7.8 kg. Determine the final speed of the two-object system after the collision for the case (a) when the large-mass object is the one moving initially and the case (b) when the small-mass object is the one moving initially. (a) vf = (b) vf =
Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at Voi = 7.40 m/s as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of 0 = 40.0° with the horizontal axis while the green disk makes an angle of ø = 50.0° with this axis as in Figure b. Determine the speed of each disk after the collision. Vof = m/s V gf m/s After the collision of Before the collision a た。