During a pool game, the cue ball, which has an initial speed of 5.0 m/s, makes an elastic collision with the eight ball, which is initially at rest. After the collision, the eight ball moves at an angle of 300 to the right of the original direction of the cue ball. Assume that the balls have equal masses. (a) Find the direction of motion of the cue ball immediately after the collision. (b) Find the speed of each ball immediately after the collision.
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- Two billiard balls are initially traveling toward each other at speeds of 2.30 m/s for ball 1 and 4.45 m/s for ball 2. The balls undergo an elastic, head-on collision. Find their final velocities.A toy car having mass m = 1.05 kg collides inelastically with a toy train of mass M = 3.95 kg. Before the collision, the toy train is moving in the positive x-direction with a velocity of Vi = 2.35 m/s and the toy car is also moving in the positive x-direction with a velocity of vi = 4.70 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 1.95 m/s. (a) Determine Vf, the final velocity of the toy train. (b) Determine the change ΔKE in the total kinetic energy. Assume friction and the rotation of the wheels are not important so that they do not affect ΔKE.Two ice pucks (one orange and one blue) of equal mass are involved in a perfectly elastic glancing collision as shown in the figures below. The orange puck is initially moving to the right at voi = 4.90 m/s, strikes the initially stationary blue puck, and moves off in a direction that makes an angle of ? = 37.0° with the horizontal axis while the blue puck makes an angle of ? = 53.0° with this axis as in the second figure. Note that for an elastic collision of two equal masses, the separation angle? + ? = 90.0°. Determine the speed of each puck after the collision in meters per second. v0f = ? m/s vbf = ? m/s
- A 4.0-kg mass, initially at rest on a horizontal frictionless surface, is struck by a 2.0-kg mass moving along the x axis with a speed of 8.0 m/s. After the collision, the 2.0-kg mass has a speed of 4.0 m/s at an angle of 37° from the positive x axis. What is the speed of the 4.0-kg mass after the collision?A 10.0-g marble slides to the left with a velocity of magnitude 0.400 m/s on the frictionless, horizontal surface of an icy New York sidewalk and has a head-on, elastic collision with a larger 30.0-g marble sliding to the right with a velocity of magnitude 0.200 m/s. Find the velocity of each marble (magnitude and direction) after the collision. (Since the collision is head-on, all the motion is along a line.) (b) Calculate the change in momentum (that is, the momentum after the collision minus the momentum before the collision) for each marble.A billiard ball is moving in the x-direction at 30.0 cm/s and strikes another billiard ball moving in the y-direction at 40.0 cm/s. As a result of the collision, the first ball moves at 50.0 cm/s, and the second ball stops. What is the change in kinetic energy of the system as a result of the collision?
- Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. Voi = 3.15 m/s as in Figure The green disk is initially at rest and is struck by the orange disk moving initially to the right at v a, shown below. After the collision, the orange disk moves in a direction that makes an angle of 0 = 38.0° with the horizontal axis while the green disk makes an angle of = 52.0° with this axis as in Figure b. Determine the speed of each disk after the collision. X V of Vgf= 1.66 Your response differs from the correct answer by more than 10%. Double check your calculations. m/s m/s a Before the collision After the collision bA billiard ball traveling at 5.00 m/s collides with an identical billiard ball initially at rest on the level table. The initially moving billiard ball (A) deflects 60° from its original direction while the other ball, which was initially at rest, travels 30° from the original direction of A. a)Find the speed of each of the masses A and B after the collision? b) Is the collision elastic or inelastic?A steel ball of mass 0.850 kg is fastened to a cord that is 65.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal, as shown in the figure. At the bottom of its path, the ball strikes a 3.30 kg steel block initially at rest on a frictionless surface. The collision is elastic. Find (a) the speed of the ball and (b) the speed of the block, both just after the collision. (a) Number (b) Numbe i i Unit Unit
- A 0.0101-kg bullet is fired straight up at a falling wooden block that has a mass of 4.08 kg. The bullet has a speed of 575 m/s when it strikes the block. The block originally was dropped from rest from the top of a building and had been falling for a time t when the colllision with the bullet occurs. As a result of the collision, the block (with the bullet in it) reverses direction, rises, and comes to momentary halt at the top of the building. Find the time t.A 5.3 kg sphere makes a perfectly inelastic collision with a second sphere initially at rest (they stick together after the collision). The composite system moves with a speed equal to one third the original speed of the 5.3 kg sphere. What is the mass of the second sphere?A steel ball of mass 0.710 kg is fastened to a cord that is 89.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal, as shown in the figure. At the bottom of its path, the ball strikes a 2.00 kg steel block initially at rest on a frictionless surface. The collision is elastic. Find (a) the speed of the ball and (b) the speed of the block, both just after the collision. (a) Number i Unit (b) Number i Unit