A block of mass M is moving at speed r’ 0 on a frictionless surface that ends in a rigid wall, heading toward a stationary block of mass nM , where n ≥ 1 (Fig. 9.30). Collisions between the two blocks or the left-hand block and the wall are elastic and one-dimensional. (a) Show that the blocks will undergo only one collision with each other if n ≤ 3. (b) Show that the blocks will undergo two collisions with each other if n = 4. (c) How many collisions will the blocks undergo if n = 10, and what will be their final speeds? FIGURE 9.30 Problem 93
A block of mass M is moving at speed r’ 0 on a frictionless surface that ends in a rigid wall, heading toward a stationary block of mass nM , where n ≥ 1 (Fig. 9.30). Collisions between the two blocks or the left-hand block and the wall are elastic and one-dimensional. (a) Show that the blocks will undergo only one collision with each other if n ≤ 3. (b) Show that the blocks will undergo two collisions with each other if n = 4. (c) How many collisions will the blocks undergo if n = 10, and what will be their final speeds? FIGURE 9.30 Problem 93
A block of mass M is moving at speed r’0 on a frictionless surface that ends in a rigid wall, heading toward a stationary block of mass nM, where n ≥ 1 (Fig. 9.30). Collisions between the two blocks or the left-hand block and the wall are elastic and one-dimensional. (a) Show that the blocks will undergo only one collision with each other if n ≤ 3. (b) Show that the blocks will undergo two collisions with each other if n = 4. (c) How many collisions will the blocks undergo if n = 10, and what will be their final speeds?
An object A moving with velocity v collides with a stationary object B. After the collision, A is moving with velocity 2 1 v and B with velocity 3 2 v. Find the ratio of their masses. If, instead of bouncing apart, the two bodies stuck together after the collision, with what velocity would they then move?
A car with mass mc=1120kg is traveling west through an intersection with a speed of vc=7.41m/s when a truck of mass mt=2040kg traveling south at vt=15.43m/s fails to yield. The vehicles collide, they stick together, and they slide on the asphalt which has a coefficient of kinetic friction of μk=0.500. Associate the positive x direction with east and the positive y direction with north.
How far, in meters, will the vehicles slide after the collision?
An object of mass m1=2 kg moving with velocity 12 m/s, collides head-on with an object whose mass is m2=6 kg and velocity is 1 m/s. Given that the collision is elastic, what are the final velocities of the two objects. Neglect friction.
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