A puck of mass m₂ = 72.0 g and radius r₁ = 3.70 cm glides across an air table at a speed of 1.50 m/s as shown in Figure a. It makes a glancing collision with a second puck of radius r₂ = 6.00 cm and mass m₂ = 105 g (initially at rest) such that their rims just touch. Because their rims are coated with instant-acting glue, the pucks stick together and rotate after the collision (Figure b). M a b Ⓡ (a) What is the magnitude of the angular momentum of the system relative to the center of mass? kg-m²/s (b) What the angular speed about the center of mass? rad/s

A 46 kg skater is standing still in front of a wall. By pushing against the wall she propels herself backward with a velocity of 1.2 m/s. Her hands are in contact with the wall for 0.80s. What is the MAGNITUDE of the resulting momentum of the skater after she starts moving?

A hockey puck with a mass of 0.170 kg moving in a straight line at 1.7 m / s collides with an identical puck that is at rest. As a result, the first disk deviates an angle of 30 ° from its original path and continues to move with a speed of 0.45 m / s. What is the angle of the final velocity of the second disk?

A 2.06-kg particle has a velocity (1.92 î − 2.98 ĵ) m/s, and a 2.90-kg particle has a velocity (1.06 î + 5.93 ĵ) m/s. (a) Find the velocity of the center of mass.   (b) Find the total momentum of the system.

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 1.26 kg) and embeds itself in block 2 (mass 1.93 kg). The blocks end up with speeds v1 = 0.560 m/s and v2 = 1.40 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 (1) (2) (a) Number Units (b) Number Units

:: 2 8: F2 10. A small ball of mass m₁ = 0.280 kg is moving at a speed of 3.55 m/s. It strikes a stationary larger ball of mass m₂ = 0.580 kg. After the collision, the balls follow the path shown in the figure, where a = 25.0° and 3 = 53.0°. What is the magnitude of the velocity of the smaller ball after the collision? (Neglect friction and rotational motion.) 3 80 F3 $ 4 gog 800 R • WE | SDF // % 5 m/s T G ^ 6: Vif XCVB MacBook Air P α Y B V₂f H & 7 F7 U N 8 DII V ( M 9 K DD O O P + 11 { = 1219 delete

Two objects, both with a mass of 1.94 kg are sliding across a horizontal, frictionless surface toward each other. If mass 1 has an initial velocity of 4.37 m/s i  and mass 2 has an initial velocity of -2.1 m/s i, what is the final speed of the masses if they undergo a perfectly inelastic collision? Assume that total momentum is conserved.

An instrument-carrying projectile of mass m1 accidentally explodes at the top of its trajectory. The horizontal distance between launch point and the explosion is x0. The projectile breaks into two pieces that fly apart horizontally. The larger piece, m3, has three times the mass of the smaller piece, m2. To the surprise of the scientist in charge, the smaller piece returns to earth at the launching station. Neglect air resistance and effects due to the earth’s curvature. How far away from the original launching point does the larger piece land

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 21 m/s. The masses of the two objects are 2.7 and 7.8 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. (a) vf =                                                              (b) vf =

Proton A has a speed of 800 m/s and collides elastically with proton B which is initially at rest. The two protons move then along perpendicular paths, with the path of proton A forming an angle of 50.0° with its original direction. What is the speed of proton A after the collision?