Just prior to impact with a golf ball (0.044 kg), a clubhead (0.215 kg) is travelling with a velocity of 55.7 m/s horizontally towards the target and a vertical velocity of 0 m/s. The coefficient of restitution between the ball and club is 0.84. Impact lasts for 0.00049 s. The launch angle of the ball after impact is 10.8°. During impact the ball behaves as a linear spring with a stiffness of, K= 1104746, and is maximally compressed from its resting state by Ax = 0.01 m. What was the gyverage force, exerted in the target (x, horizontal) direction, on the ball by the clubhead

A 200 kg rocket in deep space moves with a velocity of  (121 m/s)î + (38.0 m/s)ĵ. Suddenly, it explodes into three pieces, with the first (82 kg) moving at −(428 m/s)î + (304 m/s)ĵ and the second (54 kg) moving at (14.0 m/s)î − (80.0 m/s)ĵ. Find the velocity (in m/s) of the third piece. (Express your answer in vector form.)

The figure gives an overhead view of the path taken by a 0.164 kg cue ball as it bounces from a rail of a pool table. The ball's initial speed is 2.53 m/s, and the angle 0₁ is 60.6°. The bounce reverses the y component of the ball's velocity but does not alter the x component. What are (a) angle 82 and (b) the magnitude of the change in the ball's linear momentum? (The fact that the ball rolls is irrelevant to the problem.) (a) Number (b) Number Units Units 0₁ 0₂

During a fireworks display, a 0.280-kg bottle rocket approaches the top of its trajectory and explodes into two pieces as in the figure. The first piece (Piece 1) has mass 0.180 kg and the second piece (Piece 2) has mass 0.100 kg. Immediately after the explosion, the first piece is observed traveling to the left at a speed of4.30 m/sand the second piece is observed traveling at an angleθ = 39.0°above the horizon at a speed of 17.0 m/s.   Determine the components of the bottle rocket's velocity immediately before the explosion. Vxi  =    m/s Vyi  =    m/s

During a circus act, a performer thrills the crowd by catching a cannon ball shot at him. The cannon ball has a mass of m1 = 12.5 kg and the horizontal component of its velocity is v = 8.25 m/s when the performer, of mass m2 = 69 kg, catches it.If the performer is on nearly frictionless roller skates, enter an expression for his recoil speed, in terms of the masses and initial speed. What is his recoil speed, in meters per second?

Two manned satellites approach one another at a relative velocity of v= 0.150 m/s , intending to dock. The first has a mass of m1= 4.00 × 10^3 kg and the second a mass of m2= 7.50 ×10^3 kg. If the two satellites collide elastically rather than dock, what is the final relative velocity?

During a fireworks display, a 0.290-kg bottle rocket approaches the top of its trajectory and explodes into two pieces as in the figure. The first piece (Piece 1) has mass 0.190 kg and the second piece (Piece 2) has mass 0.100 kg. Immediately after the explosion, the first piece is observed traveling to the left at a speed of 4.30 m/s and the second piece is observed traveling at an angle 0 = 33.0° above the horizon at a speed of 17.0 m/s. Piece 1 V, Piece 2 Bottle rocket Determine the components of the bottle rocket's velocity immediately before the explosion. Vyi = Vyi = m/s m/s

A 28-g bullet moving horizontally strikes and remains in a 2.6-kg block initially at rest on the edge of a table. The block, which is initially 88 cm above the floor, strikes the floor a horizontal distance of 113 cm from its initial position. What was the initial speed of the bullet?