1. Considering a glancing collision between a cue ball of mass m moving at initial velocity u and a target ball of the same mass initially at rest. This results in a two-dimensional collision with the cue ball's final velocity v making an angle with the target ball's final velocity w. Show explicitly that the collision is elastic if and only if 0 = = 90°.

12. Object A having a mass of 2Kg initially moving toward right at a speed of 5 m/s collides head-on with object B initially moving toward left at a speed of 4 m/s. The collision is perfectly inelastic and after the collision, the objects move together toward left at a speed of 1 m/s. (a) What is the mass of objectB?

11. A cue ball traveling at 0.75 m/s hits the stationary 8-ball, which moves off with a speed of 0.25 m/s at an angle of 37° relative to the cue ball's initial direction. Assuming that the balls have equal masses and the collision is inelastic, what will be the speed of the cue ball? m/s ssf60 s 60 ssfolshe ssf60 €60 ssf

4. In a perfectly inelastic collision, two objects collide and stick together. Is momentum conserved in the collision? Is energy conserved? Why or why not?

COMENTUM AND IMPULSE 10. Two cars, A and B are moving in opposite direction at 90 km h-¹ and 70 km h-¹ respectively. The cars collide with each other and bounce off as shown in the Before collision FIGURE 4. The mass of car A, ma = 1500 kg and the mass of car B, mg=2000 kg. Final velocity for car A, VA= 15 km h¹ with angle 35°. Calculate the final velocity of car B, VB and its direction. After collision Ball A VA 15kmh 350 ch of the follo UA-90kmh 1 0A 35⁰ U₁= 25 cm s¹ trobod Ball B [2.59 m s¹, 43.75° below positive x-axis] U₂= 70kmh¹ ORS FIGURE 4 1. Ball A with velocity 25 cm s¹ collides with stationary ball B as FIGURE 5. The mass of ball A and B are 20 g and 25 g respectively. Calculate ball B if the final velocity of ball A is 10 cm s-¹. inal velocity of [0.167 ms¹, 58.01° below positive x-axis] VA= 10 08-2 V8w7 SWOZS- RE 5

1. Particle 1 has mass m1= 5 kg and velocity v1= 30 m/s. Particle 2 is at rest and has m2= 3 kg. Given that the velocity of particle 1 after the collision is v1= 7.5 m/s : a. Find the velocity (v2) of particle 2 after the collision B. Draw a diagram(arrows) representing the masses and velocities before and after the Collision.

Q14. Two cars of equal mass, one travelling north, the other east, collide at the same speed at right angles to each other. Assuming the collision is perfectly inelastic, what is the velocity following the collision? a. Ö2 times initial speed, at 45° east of south b. 1//2 times the initial speed, at 45° east of north Ос. twice the initial speed, at 45° east of south d. Ö2 times initial speed, at 45° east of north

3. This problem refers to the figure below: mmm There are 3 identical bobs of mass m hanging side-by-side. Two are then lifted to a height of h and released. The collisions in this problem are elastic. Answer the following questions: (a) Let's call the initial and final state immediately before and after the collision, respectively. Write down the initial momentum and kinetic energy of the system in terms of m and h. (b) Show that, after the collision, the left and center bobs rise to height h while the right bob becomes stationary. In particular, show that the center bob acts as if it were swinging freely as a lone pendulum.

4. A 1590-kilogram truck moving with a speed of 23.0 m/s runs into the rear end of a 1090-kilogram stationary car. If the collision is completely inelastic, how much kinetic energy is lost in the collision? sf6 60 ssfot sf60

1.) A car (mass=400 kg) is traveling down a country road (speed is 10 m/s) when it collides with a deer (mass=200 kg) which is running in the opposite direction (speed is 2 m/s). The collision results in the deer getting stuck on the windshield. Treat this collision using the 'conservation of momentum' principle: a) Draw a sketch - label each MASS and each VELOCITY (with arrows for direction). b) Calculate the final speed of the car (remember the deer is stuck on top of the car) after collision (Note: they stick together to form a single mass)