Pool Table Building 101
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physics 101 questions?
1) Find the change in the force of gravity between two planets when the distance between them is decreased to one third of the original distance. _________ times greater
2)Calculate a person’s hang time if he moves horizontally 4 m during a 1.26 m high-jump. ____s
What is his hang time if he moves 8 m horizontally during this jump? _______s
3) Students in lab measure the speed of a steel ball launched horizontally from a table top to be 4.4 m/s. If the table top is 1.5 m above the floor, where should they place a 20 cm tall tin coffee can to catch the ball when it lands? ______m
4) John and Tracy look from their 77 m high-rise balcony to a swimming pool below – not exactly below, but rather 25 m out from the bottom of their building. They wonder how fast they would have to jump horizontally to succeed in reaching the pool. What is the answer? ________m/s
1. You know that the force is proportional to 1/r*r.
Therefore is r decreases by a factor of 3, then 1/r*r increases by a factor of 9.
2. The ‘hang time’ depends only on the height and the force of ‘g’. It does not matter whether the horizontal distance is 4m or 8m.
The time to fall from 1.26m is:
s = .5g t^2
t = square root (2s/g)
= square root (2*1.26/8.81)
= 0.51 seconds
This is the same as the time to decelerate to zero after launching from the earth, so the total time = 2t = 1.02 seconds
3. Calculate the time using the same formula as above (using the height and g).
Calculate the distance = 4.4m/s * time
4. Calculate the time to fall, again.
Then calculate the horizontal velocity = 25m / time
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