A billiard ball will stop short when it collides head-on with a ball at rest. The ball cannot stop short, however, if the collision is not exactly head-on—that is, if the second ball moves at an angle to the path of the first. Do you know why? (Hint: Consider momentum before and after the collision along the initial direction of the first ball and also in a direction perpendicular to this initial direction.)

In the figure, determine the character of the collision. The masses of the blocks, and the velocities before and after are given. The collision is (choose one ) partially inelastic. completely inelastic. perfectly elastic. characterized by an increase in kinetic energy.

Initially, ball 1 rests on an incline of height h, and ball 2 rests on an incline of height h/2 as shown in the figure below. They are released from rest simultaneously and collide elastically in the trough of the track. If m₂ = 5m₁, m₁ = 0.043 kg, and h = 0.34 m, what is the velocity of each ball after the collision? (Assume the balls slide but do not roll. Indicate the direction with the sign of your answer. Positive is to the right, and negative is to the left. Due to the nature of this problem, do not use rounded intermediate values in your calculations including answers submitted in WebAssign.) x V₁ = Your response differs from the correct answer by more than 10%. Double check your calculations. m/s x V₂f = Your response differs from the correct answer by more than 100%. m/s Need Help? Read It Submit Answer m₁ m₂

A 0.0600 kg ball is traveling horizontally at 28.5 m/s when it is hit by a badminton racquet. The ball then moves in the opposite direction, also horizontally, at a speed of 44.5 m/s. Take the initial velocity of the ball to be in the -x-direction. (a) What is the impulse delivered to the ball by the badminton racquet? (Give the x-component in Ns. Indicate the direction with the sign of your answer.) ÎN S (b) Some work is done on the system of the ball and some energy appears in the ball as an increase in internal energy during the collision between the ball and the racket. What is the quantity W - AEint for the ball? (Give your answer in J.)

Initially, ball 1 rests on an incline of height h, and ball 2 rests on an incline of height h/2 as shown in the figure below. They are released from rest simultaneously and collide elastically in the trough of the track. If  m2 = 6m1,   m1 = 0.048 kg,  and  h = 0.38 m,  what is the velocity of each ball after the collision? (Assume the balls slide but do not roll. Indicate the direction with the sign of your answer. Positive is to the right, and negative is to the left. Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) v1f  =   m/s v2f  =   m/s

In a ballistic pendulum experiment, a small marble is fired into a cup attached to the end of a pendulum. If the mass of the marble is 0.0225 kg and the mass of the pendulum is 0.250 kg, how high will the pendulum swing if the marble has an initial speed of 5.55 m/s? Assume that the mass of the pendulum is concentrated at its end so that linear momentum is conserved during this collision.

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(a) If the impulse experienced during the collision is 200 Ns, use the information in the plot to calculate the peak force experienced during the collision.  (b) Calculate the average force experienced during 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…

Consider two objects on a collision course. Object 1 has a mass of (35 kg) and is initially moving with a velocity of (3 m/s ˆx). Object 2 has a mass of (22 kg) and is initially moving with a velocity of (5 m/s -ˆx).a) If the objects collide inelastically and stick together, what is their post-collision speed?b) If the collision occurs over a time of (0.05 s), what is the force that the objects experienced?c) If the objects instead collided elastically, what is the final speed of each object?