A soccer ball player bounces the ball off her head, changing the velocity of the ball. She changes the x-component of the velocity of the ball from V;x = 8.4 m/s to Vx = 3.8 m/s and the y-component from Vi = -1.8 m/s to Vy = 3.8 m/s. If the ball has a mass of 0.43 kg and is in contact with the player's head for 7.1 ms, determine the following. (a) direction of the impulse (in degrees counterclockwise from the +x-axis) delivered to the ball . counterclockwise from the +x-axis (b) magnitude of the impulse (in kg . m/s) delivered to the ball kg . m/s\fTwo ice skaters stand facing each other at rest on a frozen pond. They push off against one another and the 48 kg skater acquires a speed of 0.74 m/s. If the other skater acquires a speed of 0.83 m/s, what is her mass in kilograms? kgA truck with a mass of 1520 kg and moving with a speed of 15.0 m/s rear-ends a 629 kg car stopped at an intersection. The collision is approximately elastic since the car is in neutral, the brakes are off, the metal bumpers line up well and do not get damaged. Find the speed of both vehicles after the collision in meters per second. car m/s Vtruck = m/s -/1 Points] DETAILS SERCPWA11 6.WA.028. MY NOTES An angry rhino with a mass of 2500 kg charges directly toward you with a speed of 4.00 m/s. Before you start running, as a distraction, you throw a 0.180 kg rubber ball directly at the rhino with a speed of 7.27 m/s. Determine the speed of the ball (in m/s) after it bounces back elastically toward you. m/sA cue ball at rest on a frictionless pool table is hit dead center by a pool stick, giving it an impulse of +1.45 N . s. The ball slides (the combination of hitting the ball dead center and no friction allows this to happen) along the table and makes a head-on elastic collision with another pool ball. If both pool balls have a mass of 0.161 kg, determine the velocity (in m/s) of the second ball the instant after the collision. |m/s -/2 Points] DETAILS OSUNIPHYS1 9.3.P.036. MY NOTES PRACTICE ANOTHER Two identical pucks collide elastically on an air hockey table. Puck 1 was originally at rest; puck 2 has an incoming speed of 4.98 m/s and scatters at an angle of 30 with respect to its incoming direction. What is the velocity (magnitude in m/s and direction in degrees counterclockwise from the +x-axis) of puck 1 after the collision? (Assume the +x-axis is to the right.) V, = magnitude m/s direction . counterclockwise from the +x-axisA cruise ship with a mass of 1.63 x 10' kg strikes a pier at a speed of 0.672 m/s. It comes to rest after traveling 7.19 m, damaging the ship, the pier, and the tugboat captain's finances. Calculate the average force (in N) exerted on the pier using the concept of impulse. (Hint: First calculate the time it took to bring the ship to rest, assuming a constant force. Indicate the direction with the sign of your answer.) V; = (0.672 m/s)i IN [-/2 Points] DETAILS SERCPWA11 6.WA.046. MY NOTES PRACTICE ANOTHER A car with a mass of 980 kg is initially traveling east toward an intersection with a speed of v = 22.0 m/s and a 1500 kg pickup is traveling north toward the same intersection. The car and truck collide at the intersection and stick together. After the collision, the wreckage (car and truck) moves off in a direction of 41.0 above the x-axis. Determine the initial speed of the truck and the final speed of the wreckage in meters per second. initial speed of the truck m/s inal speed of the wreckage m/sTwo ice pucks (one orange and one blue) of I mass are involved in angle of q = 52.0 with this axis as in the second figure. Vof Voi Vbf Before collision After collision Note that for an elastic collision of two equal masses, the separation angled +