A cue ball (m = 160 g) travelling due east at 14.5 strikes the 9 ball (m = 170 g) which is at rest.  The cue ball deflects at 51.5 degrees above the horizontal.  If the 9 ball deflects at 326.8 degrees, what is the final velocity of the 9 ball. Use g=9.8

A 59.5 kg man standing on a frictionless surface pushes two large boxes in opposite directions as shown. Initially everything is a rest. If the left box has mass 41.5 kg and final speed 3.25 m/s, and the right box has mass 27.0 kg and final speed 2.00 m/s, what is the final velocity (magnitude and direction) of the man? Let the positive direction be to the right.

A toy rocket with a mass of 300 g takes off in an upward vertical direction under the influence of thrust and gravity. It burns fuel at the rate of 25 g/s. The exhaust speed of the gas is 80 m/s. What is the speed of the rocket at the end of 10 seconds? (g = 9.8 m/s²) 45m/s

. The fisherman's mass is 79 kg, and the boat's is 126 kg. The fisherman and boat are initially at rest when the fisherman throws a package of mass m = 15 kg horizontally to the right with a speed of vi = 4.9 m/s. What is the velocity of the boat after the package is thrown? Neglect any resistance force from the water. (Give the magnitude in m/s, and select the correct direction from the options given.)  What is the direction of the boat?

A block of mass m1 = 14 kg slides along a horizontal surface (with friction, μk = 0.27) a distance d = 2.5 m before striking a second block of mass m2 = 8.25 kg. The first block has an initial velocity of v = 9.75 m/s. Assuming that block one stops after it collides with block two, what is block two's velocity after impact in m/s?  How far does block two travel, d2 in meters, before coming to rest after the collision?

3m v = 0 7. A projectile is launched at a 53° angle with a speed of 100 m/s. At the highest point, the projectile explodes into two parts, one three times heavier than the other. After the explosion, the lighter fragment's initial velocity is zero. a. What is the speed of the projectile just before the explosion? [60.2] b. What is the speed v of the heavier fragment just after the explosion? i) How high is the projectile when the explosion happens? ii) How long does it take each piece to reach the ground? с. d. i) How far horizontally is the projectile when the explosion happens? ii) If the projectile hadn't exploded, how far from the launch point would it have landed? (480.8m & 961.6m] e. What is the location of each fragment from the launch point when they hit the ground? [480.2m, 1121.76 m] f. i) What is the location of the center of mass of the two fragments when they land? ii) How does this compare with your answer in part d.ii?

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 180-g billiard ball is shot toward an identical ball at velocity  vi = 6.90 m/s.  The identical ball is initially at rest. After the balls hit, one of them travels with velocity  v1, f = (1.80 + 2.22) m/s.  What is the velocity of the second ball after the impact? Ignore effects of friction during this process. (Express your answer in vector form.) v2, f =         m/s

A firework is launched and has a strictly vertical trajectory. It has velocity of 30 m/s right before it explodes. After it explodes, it instantaneously splits into three projectiles of equal mass. One of the projectiles continues to travel straight upwards with a velocity of 50 m/s. The right-most projectile now has an upward velocity of 45 m/s at 25◦ right of vertical. What is the final velocity of the left-most projectile?

Three balls (B1, B2, and B3) are shot as projectiles with same initialspeed. The angle of the three launches are 30°, 45° and 60°, respectively.The three balls each have the same mass,but the radii of B1, B2, and B3 are 2, 4 and 8 cm, respectively.The ranges of the three projectiles are R1, R2 and R3, respectively.Find a relationship between the ranges. (a) R1 >R2 > R3 (b) R2 > R1 > R3 (c) R1 = R2 = R3 (d) R1 = R3 < R2