30. A 42.5-kg object travelling at 12.75 m/s in a straight line collides with a 30.0-kg object that is initially at rest. Calculate their final velocities after the elastic collision.
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- A 2.00-g particle moving at 5.40 m/s makes a perfectly elastic head-on collision with a resting 1.00-g object. (Assume the 2.00-g particle is moving in the positive direction before the collision. Indicate the direction with the sign of your answer.) (a) Find the velocity of each particle after the collision. 2.00-g particle 1.00-g particle m/s m/s (b) Find the velocity of each particle after the collision if the stationary particle has a mass of 10.0 g. 2.00-g particle 10.0-g particle m/s m/s (c) Find the final kinetic energy of the incident 2.00-g particle in the situations described in parts (a) and (b). KE in part (a) KE in part (b) J J In which case does the incident particle lose more kinetic energy? case (a) case (b)A 0.060-kg tennis ball, moving with a speed of 5.82 m/s , has a head-on collision with a 0.090-kg ball initially moving in the same direction at a speed of 3.64 m/s . Assume that the collision is perfectly elastic. - Determine the speed and direction of the 0.060-kg ball after the collision. - Determine the speed and direction of the 0.090-kg ball after the collisionA 105.0-kg hockey player is skating in the positive x-direction at a speed of 7.10 m/s and collides with 79.0-kg player moving in the negative y- direction at a speed of 8.00 m/s. They hold on to each other in a totally inelastic collision. a. Find the angle relative to the x-axis of their final velocity. b. Find the final speed of the pair assuming that friction can be ignored. c. Find the impulse of heavier player on the lighter player. d. Find the kinetic energy lost in the collision.
- 3. A 95.5-kg football player running north at 6.25 m/s is tackled by a 105-kg player running south at 4.90 m/s. If they stick together during the collision, what is the magnitude and direction of their velocity right after the collision?1. Refer to figure 1. Two carts collide and merge together. Calculate the final velocity of the merged carts, determine whether it was an elastic or inelastic collision, and whether energy was conserved or not. m₁ m₁ = 10.0 kg V₁ = 8.00 m/s Figure 1 m₂ m₂ = 30.0 kg V₂ = 0.00 m/s m3 = 40.0 kg V = ?A 15-kg green bowling ball moving eastward initially with a speed of 2.0 m/s makes an elastic head-on collision with a 9.0-kg red bowling ball that is moving westward at 3.0 m/s. Determine the final velocities of each bowling ball right after the collision.
- A ball of mass 0.240 kg that is moving with a speed of 5.7 m/s collides head-on and elastically with another ball initially at rest. Immediately after the collision, the incoming ball bounces backward with a speed of 3.4 m/s. - Calculate the velocity of the target ball after the collision. - Calculate the mass of the target ball.You are playing lawn bowls. You roll one ball toward another of different mass that is initially at rest. They collide elastically and go off in different directions. (a) Choose values for the following. None of them can be 0. i. The masses of the balls (they are different) Ma= 2kg, Mb= 4kg ii. The initial velocity of the ball you launch 6mls iii. The angle at which the striking ball deflects after the collision 180 (b) Draw a photo before the collision, and another after. (c) Calculate the velocities of the two balls in x and y after the collision.I. A lump of clay (m = 3.01 kg) is thrown towards a wall at speed v = 3.15 m/s. The lump sticks to the wall. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. II. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 3.15 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. III. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 2.24 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic…
- A 2.10-kg block is moving to the right at 1.20 m/s just before it strikes and sticks to a 1.00-kg block initially at rest. What is the total momentum of the two blocks after the collision? Enter a positive answer if the total momentum is toward right and a negative answer if the total momentum is toward left.2. Conservation of Linear Momentum See Figure 2. Block 1 of mass m₁ slides from rest along a frictionless ramp from an unknown heighth and then collides with stationary block 2, which has mass m₂ = 3m₁ . The collision is an elastic one. After the collision, block 2 slides into a friction-filled region where the coefficient of kinetic friction is 0.5 and comes to a stop through a distance d = 10 m in that region. (a) What is the height h? (ANSWER: h = 20 m) (b) What is the velocity of block 1 just after the collision? (ANSWER: (-)10 m/s) (If the collision were instead, completely inelastic (that is, the objects stick together, what is the height h?)1. A car of 800 kg is moving 45'north of east at 30 m/s. Another car of mass 600 is heading 45 north of west 40 m/s. They collide at the intersection. After collision, 800 kg move 60'north of west at 20 m/s. Find the magnitude and direction of 600 kg mass after the collision. The collision is inelastic.