As part of a carnival game, a my = = 0.653 kg ball is thrown at a stack of 23.8 cm tall, m, = 0.363 kg objects and hits with a perfectly horizontal velocity of ubi = 10.8 m/s. Suppose that the ball strikes the topmost object. Immediately after the collisio the ball has a horizontal velocity of Ubf = 3.10 m/s in the same direction, the topmost object has an angular velocity of @o = 1.63 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and that the effect of the torque due to gravity during the collision is negligible. If the object's center of mass is located r = 16.7 cm below the point where the ball hits, what is the moment of inertia I, of the object about its center of mass?

A skater of mass 72.5 kg initially moves in a straight line at a speed of 4.80 m/s. The skater approaches a child of mass 35.0 kg, whom he lifts on his shoulders. Assuming there are no external horizontal forces, what is the skater's final velocity?

. 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?

Air hockey is a game played on a table. A puck (shown in black) slides freely on a cushion of air. Opposing players strike the puck with a hand-held round "paddle" (shown in red). In one case, while playing air hockey, the puck comes toward you with a speed of 0.8 m/s at an angle of 30° above the -x axis in the xz plane. You strike it with your paddle, and after the collision, the puck travels in the +x direction with a speed of 2.9 m/s toward the opponent's goal. The mass of the puck is 0.020 kg.

A truck (M = 2500kg) collides with a car (m = 1000kg) at a 4-way intersection. Fortunately nobody gets hurt. Suppose the car is going north at 20m/s ( about 45mph) and the truck is coming from the east at 10m/s ( about 22mph). The car and truck stick together after the %3D collision. (a) Find the speed and direction of the car and truck immediately after the collision. (b) Approximately how much energy went into the deformation of the metal that caused the two vehicles to stick together? (c) What assumptions did you make? The

The child in the figure throws the ball in his hand horizontally V1=2.4 m/s  speed.The ball hits the ground with a collision coefficient of e=0.8.It rises to "h" height.The first time the ball hits the ground Find its instantaneous velocity and then its greatest height h.

In the figure, two particles are launched from the origin of the coordinate system at time t - O. Particle 1 of mass m₁ - 5.20 g is shot directly along the x axis (on a frictionless floor), where it moves with a constant speed of 10.7 m/s. Particle 2 of mass m₂ -4.50 g is shot with a velocity of magnitude 15.6 m/s, at an upward angle such that it always stays directly above particle 1 during its flight. (a) What is the maximum height Hmax reached by the com of the two-particle system? In unit-vector notation, what are the (b) velocity and (c) acceleration of the com when the com reaches Hmax? (a) Number 3.05 (b) Number 10.7 (c) Number 0 Units i+ 0 m 3.3 j Units m/s j Units m/s^2

Two identaical billiard balls can move freely on a horizontal table. Ball A has a velocity 5 m/s as shown. And hits ball B, which is at rest, at point C defined by θ=45. Knowing that the coefficient of restitution between the two balls is e=0.65, determine the velocity of each ball after impact. They have equal mass of 200 g. A) V_A=0.875i+0j V_B=4.125i+0j    B) V_A=0 V_B= 5i+0j    C) V_A=-5i+0j V_B=3.53i+3.53j

Identical twins, each with mass 52.5 kg, are on ice skates and at rest on a frozen lake, which may be taken as frictionless. Twin A is carrying a backpack of mass 12.0 kg. She throws it horizontally at 2.55 m/s to Twin B. Neglecting any gravity effects, what are the subsequent speeds of Twin A and Twin B?

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?