Example A 1.0 kg ball moving at 12.0 m/s collides perfectly inelastic head-on with a 2.0 kg ball moving in the opposite direction at 24.0 m/s. Determine the motion of each ball after the collision.

A 2.0-kg cart moving to the right with a speed of 1.0 m/s has a head-on collision with a 4.0-kg cart that is initially moving to the left with a speed of 1.5 m/s. After the collision, the 2.0-kg cart is moving to the left with a speed of 0.5 m/s. What is the final velocity of the 4.0-kg cart? a) zero m/s Ob) 1.5 m/s to the right c) 1.5 m/s to the left d) 0.75 m/s to the right e) 0.75 m/s to the left

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 collision

As shown in the figure below, two blocks (m1 and m2) are each released from rest at a height of h = 3.53 m on a frictionless track and when they meet on the horizontal section of the track they undergo an elastic collision. If m1 = 2.50 kg and m2 = 4.15 kg,determine the maximum heights (in m) to which they rise after the collision. Use the coordinate system shown in the figure.

Question 1

A 1 500 kg car travelling at 25 m/s collides with a 2 500 kg van stopped at a traffic light. As a result of the collision, the two vehicles become entangled. With what initial speed will the entangled mass move off, and is the collision elastic or in elastic? (K:1) SPEED TYPE OF COLLISION A. 9.4 m/s Flastic B. 9.4 m/s Inclastic C. 15 m/s Elastic D. 15 m/s Inclastic Select one: O C D QA B O

Two particles with different initial momentum collide and stick to each other. Compared to before the collision, the system of two objects after the collision has? Explain.  A. Less total momentum and less kinetic energy B. Less total momentum but the same amount of total kinetic energy. C. Not enough information is given to decide. D. The same amount of total momentum and the same total kinetic energy. E. The same amount of total momentum, but less total kinetic energy.

QUESTION 5 Same situation as before. This time it s a block of mass 1.91 kg sliding with a constant velocity of 4.88 m/s to the north, which collides 100% elastically with a second, stationary block, of mass 3.41 kg, head-on, and rebounds back to the south, eventually colliding 100% elastically with a wall and rebounding northward. It then overtakes the second block, which is still moving north as a result of the first collision. What will be the speeds of the 1.91-kg and 3.41-kg blocks, respectively, after their SECOND collision with one another?   A 5.46 m/s and 1.96 m/s   B 2.15 m/s and 4.11 m/s   C 1.69 m/s and 3.04 m/s   D 2.42 m/s and 6.26 m/s

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.

m₁ The figure shows two carts before a collision; cart m₁ is moving with velocity vo toward cart m₂ at rest. The carts slide without friction on the air track. (A) If the carts stick together when they collide, what will the final velocity be? m2 (B) If the carts collide elastically, what will the final velocity of cart C₂ be? DATA: m₁ = 1.3 kg; m₂ = {inelastic : } (in m/s) 1.7 kg; {elastic: } (in m/s) Vo = 2.5 m/s; OA: 1.083 B: 1.268 OC: 1.483 OD: 1.735 OE: 2.030 OF: 2.375 OG: 2.779 OH: 3.251 A: 1.608x10-¹B: 2.331x10-¹ OC: 3.380x10-¹ OD: 4.901x101 OE: 7.107x10-¹ OF: 1.031 OG: 1.494 OH: 2.167