1. A reckless professor doing a demonstration swings a ball attached to the end of a 3-meter string at constant speed in a horizontal circle with a circumference of 3 m. What is the work done on the ball by the 10 N tension force in the string during one revolution of the ball?
A 60 J
B 30 J
C 20 J
D 1 0 J
E 0 J
2.
A player throws a softball (weight 1.8 N) to a teammate on the other side of the field. The softball leaves the thrower's hand with an initial kinetic energy of 90. J and its minimum kinetic energy during the flight is 40. J. What is the maximum height reached by the softball?
A 72 m
B 50. m
C 28 m
D 22 m
E 11 m
3. A stunt person in a movie jumps from the roof of a tall building, but no injury occurs because she lands on a large air-filled bag. Which one of the following best describes why she can accomplish this stunt safely?
A The bag provides the necessary force to stop the person.
B The bag reduces the impulse to the person.
C The bag increases the amount of time the force acts on the person and reduces the change in momentum.
D The bag decreases the amount of time during which the momentum is changing and reduces the average force on the person.
E The bag increases the amount of time during which the momentum is changing and reduces the average force on the person.
1. Tension in the string provides the centripetal force. It always acts towards the center. Hence there is no displacement in the direction of Tension. Thus the work done is 0 joules.
2. By conservation of energy
Mgh = change in kinetic energy
Mgh = 90 - 40 = 50 J
Given Mg = 1.8 N
h = (50/1.8) = 28 m
3. F = change in momentum / time taken for change
Hence on increasing the time taken for the change in momentum , The force on the body decreases.
Hence the correct answer is option E
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