A 1.0 kg ball drops vertically onto a floor, hitting with a speed (just before hitting floor) of 20 m/s. It rebounds with a speed (just after leaving floor) of 15 m/s. (a) What is the magnitude of the impulse that acts on the ball during the contact?(b) If the ball is in contact with the floor for 0.040 s, what is the magnitude of the average force exerted on the floor?

A stone is dropped from a height of h1 = 3.55 m above the ground. After it bounces, it only makes it to a height h2 = 2.37 m above the ground. The stone has mass m = 0.148 kg.  a) What is the magnitude of the impulse I, in kilogram meters per second, the stone experienced during the bounce?   b)  If the stone was in contact with the ground for t = 0.153 s, what was the magnitude of the constant force F acting on it, in newtons?   c) How much energy, in joules, did the stone transfer to the environment during the bounce?

In the overhead view of the figure, a 460 g ball with a speed v of 4.5 m/s strikes a wall at an angle 0 of 20° and then rebounds with the same speed and angle. It is in contact with the wall for 14 ms. In unit-vector notation, what are (a) the impulse on the ball from the wall and (b) the average force on the wall from the ball? (a) Number i (b) Number i+ т i+ i i ·X 0 j Units j Units >

A 0.250 kg lump of clay is dropped from a height of 1.45 m onto the floor. It sticks to the floor and does not bounce. What is the magnitude of the impulse J imparted to the clay by the floor during the impact? Assume that the acceleration due to gravity is g = 9.81 m/s². J = kg. m/s The force exerted by the floor on the clay is plotted as a function of time in the figure. What must have been the maximum force Fmax exerted by the floor on the clay? Fmax = N Force (N) max 5.5 ms Time (ms)

A golf ball strikes a hard, smooth floor at an angle of 28.8° and, as the drawing shows, rebounds at the same angle. The mass of the ball is 0.0224 kg, and its speed is 43.8 m/s just before and after striking the floor. What is the'magnitude of the impulse applied to the golf ball by the floor? (Hint: Note that only the vertical component of the ball's momentum changes during impact with the floor, and ignore the weight of the ball.) Number Units

A 0.150 kg lump of clay is dropped from a height of 1.75 m onto the floor. It sticks to the floor and does not bounce. What is the magnitude of the impulse J imparted to the clay by the floor during the impact? Assume that the acceleration due to gravity is g = 9.81 m/s². J = The force exerted by the floor on the clay is plotted as a function of time in the figure. What must have been the maximum force Fmax exerted by the floor on the clay? Fmax kg. m/s = N Force (N) F max 0 F 7.5 ms Time (ms)

Consider an automobile accident in which a 1000 kg car strikes a tree in an inelastic collision.  The speed of  the car just before the collision was 72 km/hr.  The duration of the impulse is 0.01s.  What force does the passenger experience? In the same automobile, a passenger of mass 50 kg is sitting, unrestrained, in the front seat.  The speed of the passenger was 72 km/hr before the collision and zero afterewards.  The duration of the impulse that changes is or her momentum is again 0.01 s.  What force does the passenger experience? Same automobile accident, except that the passenger is restrained by a seat belt and an air bag explodes at the moment of impact.  The passenger's speed still changes from 72 km/hr to zero, but the air bag slows the time during which this change occurs to 0.01 s.   What force does the passenger experience?

A tennis ball with a mass of 55 grams experiences a contact time with a tennis racket for 29 milliseconds during an executed serve.  The velocity of the tennis ball when it leaves the racket during the serve is 75 m/s. a) What impulse (magnitude only) in Ns did the server exert on the tennis ball in his serve? b) What average force (magnitude only) in Newtons did the server exert on the tennis ball in the serve? c) If the opponent returned the serve with a speed of 53 m/s, what impulse (magnitude only) in Ns did the opponent’s racket exert on the ball during the return shot from the serve? (assume the velocity of the ball when it first hits the racket is the same as the serve velocity mentioned above) d) What average force in Newtons (magnitude only) did the opponent’s racket exert on the ball in the return shot if the ball was in contact with the racket for 28 milliseconds?

A baseball player pitches a fastball toward home plate at a speed of 41.0 m/s. The batter swings, connects with the ball of mass 335 g, and hits it so that the ball leaves the bat with a speed of 37.0 m/s. Assume that the ball is moving horizontally just before and just after the collision with the bat. (a) What is the impulse delivered to the ball by the bat? Enter a positive value if the impulse is in the direction the bat pushes the ball and  enter a negative value if the impulse is in the opposite direction the bat pushes the ball. ____kg·m/s  (b) If the bat and ball are in contact for 3.00 ms, what is the magnitude of the average force exerted on the ball by the bat? ____kN

A cruise ship with a mass of 1.43 ✕ 107 kg strikes a pier at a speed of 0.672 m/s. It comes to rest 5.94 m later, 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. Assume the ship moves in the positive direction. Indicate the direction with the sign of your answer.)