Jumping up before the elevator hits. After the cable snaps and the safety system fails, an elevator cab free-falls from a height of 34 m. During the collision at the bottom of the elevator shaft, a 90 kg passenger is stopped in 6.0 ms. (Assume that neither the passenger nor the cab rebounds.) (a) What is the magnitude of the impulse on the passenger during the collision? (b) What is the magnitude of the average force on the passenger during the collision? Suppose the passenger were to jump upward with a speed of 6.5 m/s relative to the cab floor just before the cab hits the bottom of the shaft. Assume the same stopping time as above. (c) What is the magnitude of the impulse on the passenger during the collision? (d) What is the magnitude of the average force on the passenger during the collision?

In tae-kwon-do, a hand is slammed down onto a target at a speed of 15.4 m/s and comes to a stop during the 4.29 ms collision. Assume that during the impact the hand is independent of the arm and has a mass of 0.770 kg. (the magnitude of the impulse is 11.9 kg*m/s)  What is the magnitude of the average force on the hand from the target? (PLEASE show how you get this answer )

A golf ball is moving at speed vo to the East. After deflecting off a tree, it moves at a speed of 0.90vo in a direction which is 25° North of East. Check all the following answers which are true statements. There may be more than one correct answer! The impulse vector (delivered by the tree) has components which point North and West The ball's momentum vector has the same magnitude before and after the collision The impulse vector (delivered by the tree) points purely to the North The ball's momentum vector decreases in magnitude during the collision

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?

A 0.500-kg ball is dropped from rest at a point 1.10 m above the floor. The ball rebounds straight upward to a height of 0.480 m. Taking the negative direction to be downward, what is the impulse of the net force applied to the ball during the collision with the floor?

A fast car is speeding down a road with a velocity of v. It collides with a truck moving in the opposite direction that has a mass that is four times that of the fast car. They are both moving at the same speed. If the collision is elastic, then what are both of the vehicles velocities given as multiples of v.

In a dance jump, the dancer lifts their center of mass 40 cm.  When they land, they bend their knees as they slow to a stop and their center of mass lowers by 7.0 cm in 50 ms.  The dancer’s mass is 60 kg. (a) What is the impulse on their body as they land? (b) What is the average force on the dancer’s body? {3360 N}

A 0.250 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. F What is the magnitude of the impulse J imparted to the max 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? 9.5 ms Time (ms) Fmax N II Force (N)

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 0.279-kg volleyball approaches a player horizontally with a speed of 12.4 m/s. The player strikes the ball with her fist and causes the ball to move in the opposite direction with a speed of 21.1 m/s. (a) What impulse is delivered to the ball by the player? (Take the direction of final velocity to be the positive direction. Indicate the direction with the sign of your answer.) (b) If the player's fist is in contact with the ball for 0.0600 s, find the magnitude of the average force exerted on the player's fist.