4.0 m/s 3.0 kR A 3.0 kg cart is moving at a speed of 4.0 m/s to the right across a frictionless table, as shown above. It collides with a second cart of an unknown mass m that is initially at rest. The magnitude of the force Fof the collision as a function of time tis shown in the graph below, where t= 0 is the instant of initial contact. As a result of the collision, the second cart acquires a speed of 1.6 m/s to the right. Assume that friction is negligible before, during, and after the collision. 10 Force (N) 1.0 2.0 Time (s)

19. IP A 0.14-kg baseball moves toward home plate with a ve- locity V₁ = (-36 m/s)x. After striking the bat, the ball moves vertically upward with a velocity v = (18 m/s)ŷ. (a) Find the direction and magnitude of the impulse delivered to the ball by the bat. Assume that the ball and bat are in contact for 1.5 ms. (b) How would your answer to part (a) change if the mass of the ball were doubled? (c) How would your answer to part (a) change if the mass of the bat were doubled instead?

4. A 0.060 kg ball hits a wall with an initial speed of 30 m/s in the -x direction and bounces off with the same speed in the +x direction. The graph shows the force of the wall on the ball during the interaction. a) Draw the ball and the wall just before and just after the collision. b) What is the impulse of the force of the wall on the ball? b) What is the maximum value of the contact force Fmax between the wall and the ball? Fmax t (ms) 6 4.

47. Ophthalmologists use the properties of inelastic collisions to detect a disease of the eye called glaucoma. While a healthy eye at normal pressure is slightly spongy, glaucoma causes the eye to become rigid due to a buildup of pressure in the eye. An ocular tonometer helps test for glaucoma by sending a puff of air to collide with the eye and measuring its rebound velocity. How would the impulse delivered to the puff of air against a healthy eye compare to an eye with glaucoma?A. The impulse delivered to the air puff by the healthy eye would be greater due to the higher rebound velocity of the air puff. B. The impulse delivered to the air puff by the glaucoma eye would be greater due to the higher rebound velocity of the air puff. C. The impulse delivered to the air puff by the healthy eye would be greater due to the lower rebound velocity of the air puff. D. The impulse delivered to the air puff by the glaucoma eye would be greater due to the lower rebound velocity of the air…

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…

A football player is preparing to punt the ball down the field. He drops the ball from rest and it falls vertically 1.0 m down ongo his foot. After he kicks it, the ball leaves the foot with a speed of 18 m/s at an angle of 51 degrees above the horizontal.   1) what is the magnitude of the impulse delivered to the ball in Kg meters per sec as he kicks it? An american football has a mass of 420 g 2) at what angle in degrees above the horizontal is the impulse delivered to the football?

9. An athlete who is initially at rest in a squatted position jumps vertically upward and then lands going back to the original squatted position (ending at rest with the same center of mass height as at the start). The time period under consideration begins just before the athlete starts the upward motion and ends just after she has landed and comes to rest back in the squatted position. Compare the magnitude and directions of the impulse from the force of the ground on the athlete to the impulse from gravity on the athlete during this time period. Note: there are no other significant forces other than the ground and gravity acting on the athlete during this time period. of

TWO-PART QUESTION  PART ONE: A 12000 kg tank moving at 8 m/s is broughtto a halt in 1.5 s by a reinforced-steel tankbarrier.What magnitude of the impulse was imparted to the tank?Answer in units of kgm/s.   PART TWO: What is the average net force exerted bythe tank on the barrier?Answer in units of N.