4. In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [W] collides with a 0.80 kg cart moving at 2.0 m/s [E]. The collision is cushioned by a spring (k = 1200 N/m). %3D i. Determine the velocity of each cart after the collision. ii. Determine the maximum compression of the spring.
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- E9. A ball traveling with an initial momentum of 4.0 kg•m/s bounces off a wall and comes back in the opposite direction with a momentum of -3.5 kg-m/s.a. What is the change in momentum of the ball?b. What impulse is required to produce this change? Answer with the correct formula. Fully solve the problem correctly.2. An bullet of mass m = 6.40g is fired into a block of mass M = 235g that is initially at rest at the edge of a chair of height h = 0.197 m. The bullet remains in the block, and after the impact the block lands d: 0.170m from the bottom of the chair. Determine the initial velocity of %3D %3D the bullet. m 1.1. A steel ball of mass 0.5 kg is fastened to a cord 70 cm long and fixed at the far end, is released when the cord is horizontal. At the bottom of its path, the ball strikes a 2.5 kg steel block initially at rest on a horizontal surface. The collision is elastic. Find a) the speed of the ball and the speed of the block, just after the collision. b) If the block has a coefficient of kinetic friction with the horizontal surface of 0.30, how far does the block slide before coming to rest? Ignore the effect of the frictional force for the duration of the collision. [-2.49 m/s, 1.27 m/s; 0.27 m]
- 2. A 2.0 kg ball traveling east at +4.0 m/s collides head-on with a 1.0 kg ball traveling west at - 8.0 m/s. After the collision, the two balls stick together. What is the final velocity of the two balls stuck together after the collision? Before AfterQ14. Two cars of equal mass, one travelling north, the other east, collide at the same speed at right angles to each other. Assuming the collision is perfectly inelastic, what is the velocity following the collision? a. Ö2 times initial speed, at 45° east of south b. 1//2 times the initial speed, at 45° east of north Ос. twice the initial speed, at 45° east of south d. Ö2 times initial speed, at 45° east of northA truck (m=5000 kg) initially moving at 5 m/s slams into the back of a car (m=1,000 kg) that is sitting at an intersection. The bumpers lock, and the two vehicles move off together. Which vehicle experiences the larger impulse during in the collision? A. The truck. B. The car. C. The impulses are the same. v-5 m/s 00-00-0 m=5,000 kg m=1,000 kg
- 3. This problem refers to the figure below: mmm There are 3 identical bobs of mass m hanging side-by-side. Two are then lifted to a height of h and released. The collisions in this problem are elastic. Answer the following questions: (a) Let's call the initial and final state immediately before and after the collision, respectively. Write down the initial momentum and kinetic energy of the system in terms of m and h. (b) Show that, after the collision, the left and center bobs rise to height h while the right bob becomes stationary. In particular, show that the center bob acts as if it were swinging freely as a lone pendulum.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.1. Two balls with mass mA = 3.0kg and mg = 2.0kg are initially moving towards each other with initial velocities as vai = 1.0m/s and Vai = -4.0m/s. If the collision between them is elastic, what is the Vai final velocities of the balls? Before Collision A VA Bi m, After Collision V Af A m, V.
- 7-3. A 4 Kg of putty moving to the right has a head-on inelastic collision with 2 Kg putty moving to the left. If the combined blob does not move after the collision, what can we say about the speeds of the two blobs? a. V2 = V1 b. V2 = V1/2 c. V2 = 2*V14. In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [E] collides with a 0.80 kg cart moving at 2.0 m/s [W]. The collision is cushioned by a spring (k = 1,200 N/m). i. Determine the velocity of each cart after the collision. ii. Determine the maximum compression of the spring.