Please help Two balls, A and B, each having a mass of 1.0 kg, are dropped from a
ID: 1865038 • Letter: P
Question
Please help
Two balls, A and B, each having a mass of 1.0 kg, are dropped from a height of 1.0 m above the floor. Ball A bounces, rebounding to a height of 0.70 m, while Ball B does not bounce, and comes to rest on the floor.
A) Determine the speed of ball A just before impact.
B) Determine the speed of ball B just before impact.
C) Determine the speed of ball A just after leaving the floor (traveling upward).
D) If both collisions lasted for the same time interval, was the average force exerted by the floor on ball A greater than, less than, or equal to the average force exerted by the floor on ball B?
E) Explain your reasoning to part D
F) During the collision, dis ball A lost more, less, or the same amount of kinetic energy as ball B?
G) Explain your reasoning to part F.
Explanation / Answer
a) height from which the ball is dropped = 1 m
the velocity of ball just before hittin the ground = sqrt(2*9.8*1)=4.43 m/s
b)height from which the ball is dropped = 1 m
the velocity of ball just before hittin the ground = sqrt(2*9.8*1)=4.43 m/s
c)maximum height reached by ball after hitting the ground = 0.7 m
thgerefore,velocity at which the ball rebound = sqrt(2*9.8*0.7)=3.7 m/s
d)change in momentum of ball A =1*( 3.7-(-4.3))=8
change in momentum of ball B = 1*(0-(-4.3))=4.3
Force on A is greater than force on B
e)since change in momentum of ball A is greater tha that of ball B,and the change is occuring over same time interval, force exerted by ground on ball A is greater