The Zacchini family was renowned for their human- cannonball act in which a family member was shot from a cannon using either elastic bands or compressed air. In one version of the act, Emanuel Zacchini was shot over three Ferris wheels to land in a net at the same height as the open end of the cannon and at a range of 69 m. He was propelled inside the barrel for 5.2 m and launched at an angle of 53. If his mass was 85 kg and he underwent constant acceleration inside the barrel, what was the magnitude of the force propelling him? (Hint: Treat the launch as though it were along a ramp at 53. Neglect air drag.)

You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. Your own body mass is 50.1 kg. You pick up an object and drop it from rest, starting at a height of 1.97 meters above the floor, and it hits the floor 0.380 seconds later. You can ignore air resistance. Based on the outcome of this experiment, when you step on the scale provided for you, what weight will it register for your body?     684 N     911 N     1,367 N     491.5 N

You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. Your own body mass is 53.3 kg. You pick up an object and drop it from rest, starting at a height of 2.40 meters above the floor, and it hits the floor 0.560 seconds later. You can ignore air resistance. Based on the outcome of this experiment, when you step on the scale provided for you, what weight will it register for your body? 544 N 816 N 522.9 N 408 N

A toy rocket operates by having a spring-loaded tube which ejects a small model rocket when released. The spring inside has a spring constant k = 625N/m, the rocket has a mass of 0.100 kg, and the maximum compression of the spring is 0.18 m.  Consider the system of the rocket, spring, and the earth. Consider the interval of time between t1, when the rocket is released from the point of maximum spring compression, and t2, the moment when the spring is fully released and the rocket leaves the launcher. List below the types of energy that are changing during this interval and whether the changes are positive or negative. Please explain how you know.

A baseball has a mass of 0.140 kg, and it is pitched towards home plate at a speed of 48.0 m/s. Assume that the ball is pitched horizontally and that the ball is hit horizontally back in the opposite direction. If the bat exerts an average force of 9100 N for 2.80 ms, what is the final speed of the ball in m/s?

A baseball (m= 150 g) approaches a bat horizontally at a speed of 43.9 m/s (98.2 mi/h) and is hit straight back at a speed of 52.6 m/s (118 mi/h). If the ball is in contact with the bat for a time of 1.27 ms, what is the average force exerted on the ball by the bat? Neglect the weight of the bat, since it is so much less than the force of the bat. Choose the direction of the incoming ball as the positive direction. Number i Units VO Vf

You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. Your own body mass is 56.0 kg. You pick up an object and drop it from rest, starting at a height of 2.35 meters above the floor, and it hits the floor 0.346 seconds later. You can ignore air resistance. Based on the outcome of this experiment, when you step on the scale provided for you, what weight will it register for your body?     549.4 N     1,100 N     1,466 N     2,199 N

A baseball with a mass of 148 g is thrown horizontally with a speed of 39.1 m/s (87 mi/h) at a bat. The ball is in contact with the bat for 1.00 ms and then travels straight back at a speed of 45.3 m/s (101 mi/h). Determine the average force exerted on the ball by the bat. Neglect the weight of the ball (it is much smaller than the force of the bat) and choose the direction of the incoming ball to be positive. (Indicate the direction with the sign of your answer.)

You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. Your own body mass is 72.3 kg. You pick up an object and drop it from rest, starting at a height of 1.52 meters above the floor, and it hits the floor 0.223 seconds later. You can ignore air resistance. Based on the outcome of this experiment, when you step on the scale provided for you, what weight will it register for your body? 1 2,210 N 2 2,947 N 3 4,420 N 4 709.3 N

An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First he tries to throw a rope to his fellow astronaut, but the rope is too short. In a last ditch effort, the astronaut throws his bag of tools in the direction of his motion, away from the space station. The astronaut has a mass of ma = 124 kg and the bag of tools has a mass of m = 13.0 kg. If the astronaut is moving away from the space station at Vj = 1.20 m/s initially, what is the minimum final speed vpf of the bag of tools with respect to the space station that will keep the astronaut from drifting away forever? Ub.f = m/s