t A Superball Collides Inelastically with a Table As shown in the figure (Figure

Question

t A Superball Collides Inelastically with a Table As shown in the figure (Figure 1) a superball with mass m equal to 50 grams is dropped from a height of hi 1.5 m. It collides with a table, then bounces up to a height of hf 1.0 m The duration of the collision the time during which the superba is in contact with the table) is tc 15 ms. n this problem, take the positive y direction to be upward, and use g 9.8 m/s2 magnitude of the acceleration due to gravity. Neglect air resistance Figure 1 of 1 A Before During After Part A Find the y component of the momentum, Pbefore,y of the ball immediately before the collision Express your answer numerically, to two significant figures. before,y kg m/s p Submit Hints My Answers Give Up Review Part Part B Find the y component of the momentum of the ball immediately after the collision, that is, just as it is leaving the table. Express your answer numerically, to two significant figures. kg m/s Pafter, Submit Hints My Answers Give Up Review Part

Explanation / Answer

(A)
m = 50 gm
hi = 1.5 m
a = - 9.8 m/s^2

Using Energy conservtaion,
Kinetic Energy = Initial Potential Energy
1/2 * m*v^2 = m*g*hi
1/2 * v^2 = 9.8 * 1.5
v = 5.42 m/s

pbeforey = m*v
pbeforey = 50 * 10^-3 * 5.42 Kg m/s
pbeforey = 0.271 Kg m/s


(B)
hf = 1.0 m
Now Again using Energy conservation,
Final Potential Energy = Final kinetic Energy
m*g*hf = 1/2 * m * vi^2
9.8 * 1.0 = 1/2 * vi^2
vi = 4.43 m/s

paftery = m*vi
paftery = 50 * 10^-3 * 4.43 Kg m/s
paftery = 0.2215 Kg m/s

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