Additional Questions ( Linear Momentum and Collisions )

[1] A 3.00-kg particle has a velocity of (3.00i ˆ + 4.00j ˆ ) m/s. (a) Find its x and y components of momentum. (b) Find the magnitude and direction of its momentum.

[2] An estimated force–time curve for a baseball struck by a bat is shown in Figure. From this curve, determine

(a) the impulse delivered to the ball, (b) the average force exerted on the ball, and (c) the peak force exerted on the

[3] A 3.00-kg steel ball strikes a wall with a speed of 10.0 m/s at an angle of 60.0° with the surface. It bounces off with the same speed and angle (Fig. ). If the ball is in contact with the wall for 0.200 s, what is the average force exerted

[4] A 10.0-g bullet is fired into a stationary block of wood (m = 5.00 kg). The relative motion of the bullet stops inside the block. The speed of the bullet-plus-wood combination immediately after the collision is 0.600 m/s. What was the original speed of the bullet?

[5] Two blocks are free to slide along the frictionless wooden track ABC shown in Figure. The block of mass m1 = 5.00 kg is released from A. Protruding from its front end is the north pole of a strong magnet, repelling the north pole of an identical magnet embedded in the back end of the block of mass m2 =10.0 kg, initially at rest. The two blocks never touch. Calculate the maximum height to which m1 rises after the elastic collision..

[6] A 12.0-g wad of sticky clay is hurled horizontally at a 100-g wooden block initially at rest on a horizontal surface. The clay sticks to the block. After impact, the block slides 7.50 m before coming to rest. If the coefficient of friction between the block and the surface is 0.650, what was the speed of the clay immediately before impact?

[7] (a) Three carts of masses 4.00 kg, 10.0 kg, and 3.00 kg move on a frictionless horizontal track with speeds of 5.00 m/s, 3.00 m/s, and 4.00 m/s, as shown in Figure . Velcro couplers make the carts stick together after colliding. Find the final velocity of the train of three carts. (b) What If? Does your answer require that all the carts collide and stick together at the same time? What if they collide in a different order?

[8] Two automobiles of equal mass approach an intersection. One vehicle is traveling with velocity 13.0 m/s toward the east, and the other is traveling north with speed v2i. Neither driver sees the other. The vehicles collide in the intersection and stick together, leaving parallel skid marks at an angle of 55.0° north of east. The speed limit for both roads is 35 mi/h, and the driver of the northward-moving vehicle claims he was within the speed limit when the collision occurred. Is he telling the truth?

9] A billiard ball moving at 5.00 m/s strikes a stationary ball of the same mass. After the collision, the first ball moves, at 4.33 m/s, at an angle of 30.0° with respect to the original line of motion. Assuming an elastic collision (and ignoring friction and rotational motion), find the struck

ball’s velocity after the collision.

[10] Two particles with masses m and 3m are moving toward each other along the x axis with the same initial speeds vi . Particle m is traveling to the left, while particle 3m is traveling to the right. They undergo an elastic glancing collision

such that particle m is moving downward after the collision at right angles from its initial direction. (a) Find the final speeds of the two particles. (b) What is the

[11] Four objects are situated along the y axis as follows: a 2.00 kg object is at 3.00 m, a 3.00-kg object is at 2.50 m, a 2.50-kg object is at the origin, and a 4.00-kg object is at - 0.500 m. Where is the center of mass of these objects?.

[12] A 2.00-kg particle has a velocity (2.00ˆi - 3.00ˆ j) m/s, and a 3.00-kg particle has a velocity (1.00ˆi +6.00ˆ j) m/s. Find (a) the velocity of the center of mass and (b) the total momentum of the system.

[13] A 0.2 kg baseball is traveling at 40 m/s. After being hit by a bat, the ball's velocity is 50 m/s in the opposite direction. Find a) the impulse and b) the average force exerted by the bat if the ball and bat are in contact for 0.002 s

[14] A 1000 kg car traveling 22 m/s hits a concrete bridge support and comes to a stop in .5 s. a) Find the average force acting on the car and b) if the bridge support had been cushioned so that the stopping time was increased to 3 s, what would have been the average force?

[15] A 1.0 kg object traveling at 1.0 m/s collides head on with a 2.0 kg object initially at rest. Find the velocity of each object after impact if the collision is perfectly elastic

[16] Car A has a mass of 1000 kg and is traveling to the right at 5 m/s. Car B has a mass of 5000 kg and is traveling to the right at 3 m/s. Car A read-ends Car B and they stick together.

What is the velocity of the center of mass after the collision?

(Before the collision, the velocity of the CM is 3.33

[17] Two blocks of masses M and 3M are placed on a horizontal, frictionless surface. A light spring is attached to one of them, and the blocks are pushed together with the spring between them (Fig.). A cord initially holding the blocks together is burned; after this, the block of mass 3M moves to the right with a speed of 2.00 m/s. (a) What is the speed of the block of mass M? (b) Find the original elastic potential energy in the spring if M = 0.350 kg.