The force shown in the force vs. time diagram in Figure P6.15 acts on a 1.5-kg object. Find (a) the impulse of the force, (b) the final velocity of the object if it is initially at rest, and (c) the final velocity of the object if it is initially moving along the x -axis with a velocity of −2.0 m/s.

A pitcher throws a 0.200 kg ball so that its speed is 11.0 m/s and angle is 35.0° below the horizontal when a player bats the ball directly toward the pitcher with velocity 42.0 m/s at 30.0° above the horizontal. Assume +î to be along the line from the batter to the pitcher and +ĵ to be the upward vertical direction. (Express your answers in vector form.) (a) Determine the impulse (in N s) delivered to the ball. I = (b) If the force on the ball increases linearly for 4.00 ms, holds constant for 20.0 ms, and then decreases linearly to zero in another 4.00 ms, what is the maximum force (in N) on the ball? max N.S = N

Your task is to catch a 2.0 kg water balloon that is moving toward you at a velocity of 35 m/s. You have the options of catching the balloon over a period of 0.5 s or 1.5 s. Which method is the safest (driest) and why? Use the impulse-momentum approach to validate your answer.

A professional golfer is examining a video of a practice swing. The high‑speed footage shows that his club is in contact with the ball (which was initially at rest on the tee) for only Δ?=0.671 ms, and the radar gun clocks the speed of the ball as ?b=131 mph after it comes off the club. The golf ball has a mass of ?b=45.9 g. What is the magnitude of the impulse imparted to the ball by the club? What is the magnitude of the average force of contact between the club and the ball?

Hello, can you also please include the formula that you used to solve this problem? Thank you!

I.  A lump of clay (m = 3.01 kg) is thrown towards a wall at speed v = 3.15 m/s.  The lump sticks to the wall.  (a) What kind of collision is it?  Is momentum conserved during this collision?  Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision.   II.  Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 3.15 m/s. (a) What kind of collision is it?  Is momentum conserved during this collision?  Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision.   III.  Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 2.24 m/s. (a) What kind of collision is it?  Is momentum conserved during this collision?  Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic…

30° VA = 30 ft/s A B m * m VB = 40 ft/s 60° n Problem 4: The magnitudes and directions of velocities of two identical frictionless balls are given in the figure before they collide. The coefficient of restitution is e = 0.90. Show the Impulse/Momentum diagrams. Determine the magnitude and direction of the velocity of each ball after the impact.

Consider two objects on a collision course. Object 1 has a mass of (35 kg) and is initially moving with a velocity of (3 m/s ˆx). Object 2 has a mass of (22 kg) and is initially moving with a velocity of (5 m/s -ˆx).a) If the objects collide inelastically and stick together, what is their post-collision speed?b) If the collision occurs over a time of (0.05 s), what is the force that the objects experienced?c) If the objects instead collided elastically, what is the final speed of each object?