One object is at rest, and another is moving. The two collide in a one-dimensional, completely inelastic collision. In other words, they stick together after the collision and move off with a common velocity. Momentum is conserved. The speed of the object that is moving initially is 22 m/s. The masses of the two objects are 3.1 and 7.1 kg. Determine the final speed of the two-object system after the collision for the case (a) when the large-mass object is the one moving initially and the case (b) when the small-mass object is the one moving initially. (a) vf= i (b) v₁= i

a) An Arrow (1 kg) travels with velocity 10 m/s to the right when it pierces an apple (1 kg) which is initially at rest. After the collision, the arrow and the apple are stuck together. Assume that no external forces are present and therefore the momentum for the system is conserved. What is the final velocity (in m/s) of apple and arrow after the collision? m/s b) What is the initial kinetic energy of the apple and arrow system? J c) What is the final kinetic energy of the apple and arrow system? J

Two objects are on a collision course. Object #1 has a mass of 13.4 kg and an initial velocity of 12.3 m/s i. Object #2 has a mass of 7.53 kg and an initial velocity of -3.69 m/s i. If the system is isolated and the objects stick together upon colliding, what amount of energy is lost in the collision?  Assume that all quantities are good to 3 significant figures, All numeric answers should be entered rounded to 3 significant figure.

A railroad car of mass 2.85 x 10^4 kg moving at 2.60 m/s collides and couples and with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 1.20 m/s. A. what is the speed of the three coupled cars after the collision? B. how much kinetic energy is lost in the collision?

There is a collision between a box and a ball in the xy plane. The collision is inelastic, but not perfectly inelastic. The box has a mass of 45kg and an initial velocity of 15m/s in the x direction. The ball has a mass of 55kg and an initial velocity of 25 in the y direction. The final velocity of the box was 13 in the y direction. What was the final speed of the ball in m/s?

One object is at rest, and another is moving. The two collide in a one-dimensional, completely inelastic collision. In other words, they stick together after the collision and move off with a common velocity. Momentum is conserved. The speed of the object that is moving initially is 29 m/s. The masses of the two objects are 2.8 and 8.8 kg. Determine the final speed of the two-object system after the collision for the case (a) when the large-mass object is the one moving initially and the case (b) when the small-mass object is the one moving initially.

Two solid iron spheres of masses m and 2m respectively, are suspended from two inextensible ropes of length l. We separate the ball of mass m from its equilibrium position at an angle α, keeping the string extended in the same plane. The mass is released and collides elastically with the sphere of mass 2m. The speed of the sphere sphere of mass m immediately after the collision is:

A 5.3 kg sphere makes a perfectly inelastic collision with a second sphere initially at rest (they stick together after the collision). The composite system moves with a speed equal to one third the original speed of the 5.3 kg sphere. What is the mass of the second sphere?

The eight ball, which has a mass of m = 0.5 kg, is initially moving with a velocity v = 4.7i m/s. It strikes the six ball inelastically, which has an identical mass and is initially at rest. After the collision the eight ball is deflected by an angle of θ = 19° and the six ball is deflected by an angle of Φ = 13°, as shown in the figure.   a. Write an expression for the magnitude of six ball's velocity, in terms of the angles given in the problem and the magnitude of the eight ball's initial velocity, v.   (b)  What is the magnitude of the velocity, in meters per second, of the six ball?   (c)  What is the magnitude of the velocity of the eight ball, in meters per second, after the collision?

Quesitos: The drawing shows a bullet passing through two blocks that rest on a horizontal, frictionless surface. Rule out air resistance. The bullet completely passes through the first block and is buried in the second block. Notice that after the collision, both blocks move. Can the Conservation Principle be applied from Linear Momentum to this three-body system? Justify your answer (Ignore any loss of mass from the first block). Problem: A 4.00-g bullet moves horizontally with velocity of + 355m / s. The mass of the first block is 1150 g, and its velocity after the bullet passes through it it is +0.550 m / s. The mass of the second block is 1530 g. (a) Obtain the speed of the bullet after passing through the first block, (b) obtain the velocity of the second block after the bullet is buried in it