A mass m1 = 10.5 kg, with initial velocity V0 = 12.5 m/s, strikes a mass-spring system m2 = 7.25 kg, initially at rest but able to recoil. Assume the spring is massless and the surface horizontal and frictionless. See the figure below. If the collision is completely elastic, what are the final speeds V1 and V2 of m1 and m2, respectively?

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?

Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at vOi = 6.55 m/s as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of θ = 38.0° with the horizontal axis while the green disk makes an angle of ϕ = 52.0° with this axis as in Figure b. Determine the speed of each disk after the collision. vof =  m/svgf =  m/s

Two identical pucks collide on an air hockey table. One puck starts at rest. The incoming puck has a speed of 6.00 m/s and scatters to an angle of 30.0º. Use the fact that Θ1 – Θ2 = 90º for elastic collisions of objects that have identical masses — in other words, the pucks move apart at a right angle. (a) Sketch the collision, with angles labeled. (b) What is the velocity (magnitude and direction) of the second puck after it is struck?

A 4.04 kg sphere makes a perfectly inelastic collision with a second sphere that is initially at rest. The composite system moves with a speed equal to one-third the original speed of the 4.04 kg sphere. What is the mass of the second sphere?

() 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 mg which is connected to block m3 by a long. massless spring with spring constant k = 7000 N/m: see the figure. Each of blocks mą and mg has a mass of 5 kg. Before the collision, blocks mą and mg are stationary and the spring is relaxed. m2 Frictionless - For parts A. B and Cassume that the collision of blocks m, and ma is completely inelastic. (Because the spring is relaxed before the collision. block mạ does not move at the instant of impact therefore (m, +m2) must move through a finite displacement before any force acts on mg and cause it to move) • For parts D and Eassume that the collision of blocks m, and m, is elastic. (Because the spring is relaxed before the collision. block my does not move at the instant of impact therefore mạ must move through a finite displacement before any force acts on mg and cause it to move)…

In Figure (1), a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.11 kg) and embeds itself in block 2 (mass 1.62 kg). The blocks end up with speeds v₁ = 0.600 m/s and v₂ = 1.50 m/s (see Figure (2)). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1. Frictionless (a) Number (b) Number Units Units (1) (2)

A particle of mass m1 undergoes a one-dimensional elastic collision with a particle of mass m2 = 2m1 that is initially at rest.  If particle 2 recoils at speed v2 = 1200 m/s, what is the speed of particle 1 before the collision?

A 0.250 kg lump of clay is dropped from a height of 1.45 m onto the floor. It sticks to the floor and does not bounce. What is the magnitude of the impulse J imparted to the clay by the floor during the impact? Assume that the acceleration due to gravity is g = 9.81 m/s². J = kg. m/s The force exerted by the floor on the clay is plotted as a function of time in the figure. What must have been the maximum force Fmax exerted by the floor on the clay? Fmax = N Force (N) max 5.5 ms Time (ms)

In the figure, particle 1 of mass m1 = 3.4 kg slides rightward along an x axis on a frictionless floor with a speed of 4.0 m/s.When it reaches x = 0, it undergoes a one-dimensional elastic collision with stationary particle 2 of mass m2 = 4.5 kg. When particle 2 then reaches a wall at xw = 73 cm, it bounces from the wall with no loss of speed. At what position on the x-axis does particle 2 then collide with particle 1?