As part of a carnival game, an mb=0.603 kg ball is thrown at a stack of 21.8 cm tall, ?o=0.443 kg objects and hits with a perfectly horizontal velocity of ?b,i=11.6 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of ?b,f=3.60 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 ?=15.3 cm below the point where the ball hits, what is the moment of inertia ?oIo of the object about its center of mass?

The mass of a regulation tennis ball is 57.0 g (although it can vary slightly), and tests have shown that the ball is in contact with the tennis racket for 30 ms. (This number can also vary, depending on the racket and swing.) We assume a 59.0 g ball and a 26.0 ms contact time in this problem. In the 2011 Davis Cup competition, Ivo Karlovic made one of the fastest recorded serves in history, which was clocked at 156 mi//h (70 m/s). Part A: What impulse did Karlovic exert on the tennis ball in his record serve? Take the +x direction to be along the final direction of motion of the ball. Part B: What average force did Karlovic exert on the tennis ball in his record serve? Part C: If his opponent returned this serve with a speed of 55.0 m/s, what impulse did his opponent exert on the ball, assuming purely horizontal motion? Take the +x direction to be in the direction the ball is traveling before it is hit by the opponent. Part D: If his opponent returned this serve with a speed of 55.0…

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?

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)

As part of a carnival game, a mb=0.603 kgmb=0.603 kg ball is thrown at a stack of 16.8 cm16.8 cm tall, mo=0.343 kgmo=0.343 kg objects and hits with a perfectly horizontal velocity of vb,i=11.6 m/s.vb,i=11.6 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of vb,f=3.60 m/svb,f=3.60 m/s in the same direction, the topmost object has an angular velocity of ωo=2.03 rad/sωo=2.03 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=11.8 cmr=11.8 cm below the point where the ball hits, what is the moment of inertia IoIo of the object about its center of mass?   What is the center of mass velocity vo,cmvo,cm of the tall object immediately after it is struck?

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 vi = 4.40 m/s as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of 8 = 40.0° with the horizontal axis while the green disk makes an angle of = 50.0° with this axis as in Figure b. Determine the speed of each disk after the collision. of=1 m/s m/s Vgf= Before the collision After the collision. b of Ⓡ

Two otters are sliding toward each other on a muddy frictionless horizontal surface. One of them, of mass 7.5 kg, is sliding to the left at 5.0 m/s, and the other, of mass 5.75 kg, is moving to the right at 6.00 m/s. They hold fast to each other after they collide. What is the magnitude of the velocity of these otters right after they collide? O 0.116m/s 0.236m/s O 0.441m/s O 0.226m/s

As part of a carnival game, a Mb=0.478 kg ball is thrown at a stack of 17.3 cm tall, ?o=0.343 kg objects and hits with a perfectly horizontal velocity of ?b,i=11.8 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of ?b,f=5.10 m/s in the same direction, the topmost object has an angular velocity of ωo=2.03 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=12.1 cm below the point where the ball hits, what is the moment of inertia ?oIo of the object about its center of mass?

Two gliders with mA = 0.50 kg, mB = 0.40 kg, collide elastically on a frictionless surface. Glider A with a spring bumper initially moves to the right with the speed of 4.0 m/s and glider B with a spring bumper initially moves to the left with the speed of 7.0 m/s. What is the final velocity of the glider A after collision?

Two  carts of masses m1 = 2.207 kg and m2 = 7.541 kg undergo an elastic collision. Before the collision, while the second cart is stationary, the velocity of the first cart is v1 = 7.49. If the final velocity (after collision) of the second cart  is v'2 = 1.78 m/s, the final velocity (m/s) of the first cart is: