Two objects of equal mass are moving with equal and opposite velocities when they collide. Can all the kinetic energy be lost in the collision?

A projectile of mass 2.0 kg is fired in the air at an angle of 40.0 to the horizon at a speed of 50.0 m/s. At the highest point in its flight, the projectile breaks into three parts of mass 1.0 kg, 0.7 kg, and 0.3 kg. The 1.0-kg part falls straight down after breakup with an initial speed of 10.0 m/s, the 0.7-kg part moves in the original forward direction, and the 0.3-kg part goes straight up. Launch a. Find the speeds of the 0.3-kg and 0.7-kg pieces immediately after the break-up. b. How high from the break-up point does the 0.3-kg piece go before coming to rest? c. Where does the 0.7-kg piece land relative to where it was fired from?

Two identical objects (such as billiard balls) have a one-dimensional collision in which one is initially motionless. After the collision, the moving object is stationary and the other moves with the same speed as the other originally had. Show that both momentum and kinetic energy are conserved.

A head-on, elastic collision occurs between two billiard balls of equal mass. If a red ball is traveling to the right with speed v and a blue ball is traveling to the left with speed 3v before the collision, what statement is true concerning their velocities subsequent to the collision? Neglect any effects of spin. (a) The red ball travels to the left with speed v, while the blue ball travels to the right with speed 3v. (b) The red ball travels to the left with speed v, while the blue ball continues to move to the left with a speed 2v. (c) The red ball travels to the left with speed 3v, while the blue ball travels to the right with speed v. (d) Their final velocities cannot be determined because momentum is not conserved in the collision. (e) The velocities cannot be determined without knowing the mass of each ball.

A skater of mass 40 kg is carrying a box of mass 5 kg. The skater has a speed of 5 m/s with respect to the floor and is gliding without any friction on a smooth surface. a. Find the momentum of the box with respect to the floor. b. Find the momentum of the box with respect to the floor after she puts the box down on the frictionless skating surface.

What is the average momentum of an avalanche that moves a 40-cm-thick layer of snow over an area of 100 m by 500 m over a distance of 1 km down a hill in 5.5 s? Assume a density of 350kg/m3 for the snow.

(1) THE FOLLOWING QUESTIONS ARE BASED ON THE INFORMATION GIVEN BELOW. Block m, of mass 15 kg moving with velocity v = 33 m/s on a frictionless plane collides block m, which is connected to block my by a long, massless spring with spring constant k = 7000 N/m; see the figure. Each of blocks m2 and mg has a mass of 5 kg. Before the collision, blocks m, and mg are stationary and the spring is relaxed. k m2 m3 Frictionless- • For parts A, B and C assume that the collision of blocks mį and m2 is completely inelastic. (Because the spring is relaxed before the collision, block m3 does not move at the instant of impact, therefore (m1 +m2) must move through a finite displacement before any force acts on mz and cause it to move.) For parts D and E assume that the collision of blocks m, and m, is elastic. (Because the spring is relaxed before the collision, block mg does not move at the instant of impact, therefore m, must move through a finite displacement before any force acts on mg and cause…

(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.