Print Calculntor -I Periodic Table on 8 of 10 Map ing t a large speed to a pool
ID: 1589965 • Letter: P
Question
Print Calculntor -I Periodic Table on 8 of 10 Map ing t a large speed to a pool ball. In the sport of billiards, event organizers often remove one of the rails on a pool table to allow players to measure the speed of their break shots (the opening shot of a game in which the player strikes a ball with his pool cue). With the rail removed, a ball can fly off the table. As the only participant with a physics background, they have placed you in charge of determining the speed of the players' break shots. 0.870 m 4.75 m The top of the pool table is 0.870 m from the floor. The placement of the tape is such that 0 m is a the edge of the table (as shown). The winner of the competition record for the break shot of 32 table edge, calculate his break shot speed. igned with t wants to know if he has broken the world table edge, calculate his oreak shot so43ms) te winner's balil landed a distance 4.75 m from the Number m/s At what speed did his pool ball hit the ground? mber m/s O Previous Give Up & View Solution Check Answer 0 Next Exit Hint careers partners privacy policy of use This equipment made possible by Student Technology Access FeesExplanation / Answer
Given,
h = 0.87 m ; d = 4.75 m
The time that the ball takes in dropping: (using third equation of motion)
t = sqrt ( 2 h / g) = sqrt ( 2 x 0.87/9.8) = 0.421 sec
We know that, horizontal speed = horizontal distance/time = d/t
v = 4.75/0.421 = 11.28 m/s
Hence, the winner's break shot speed = 11.28 m/s and he did not break the world record of 32 mph = 14.3 m/s.
the vertical speed of the ball would be :
v = sqrt (2 gh ) = sqrt ( 2 x 9.8 x 0.87) = 4.13 m/s
speed with which the ball hits the ground would be:
V = sqrt [ (11.28)2 + (4.13)2 ] = 12.01 m/s
Hence, speed with which ball hits the ground = v = 12.01 m/s.
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