oblemiD 88169475 Problem 10.28 Part A Amaches out or a unow and tosses a bal wai

Question

oblemiD 88169475 Problem 10.28 Part A Amaches out or a unow and tosses a bal waightupom a speed of 10 m/s The bul is 29 mabon fie gound as hereleases Use conversalion of energy to firxd The bais maximum height above the ground Express your answer using two significant figures MyAnswers Greta Part B The balls speed as it passes the window on its way down Express your answer using two significant figures m/ My Answers Geve Up Part c The speed of impact on the ground Expeess your answer using two significant figures. m/s My Answers Gve U OType here to search

Explanation / Answer

Given,

v = 10 m/s ; h = 20 m

A)We know that at max height the KE of the ball becomes zero and PE becomes max

1/2 m v^2 = m g h'

h' = v^2/2g = 10^2/2 x 9.81 = 5.1 m

H = h + h' = 20 + 5.1 = 25.1 m

Hence, H = 25.1 m

b)from conservation of energy

KEi + Ui = KEf + Uf

1/2 m v^2 + m g h = 1/2 m vf^2 + m g h

m g h cancelled

1/2 m v^2 = 1/2 m vf^2

vf = v = 10 m/s

Hence, vf = 10 m/s

c)from conservation of energy

1/2 m v^2 = m g H

v = sqrt (2 g H) = sqrt (2 x 9.8 x 25.1) = 22.18 m/s

Hence, v = 22.18 m/s

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