Since you are studying mechanics, you decide to consider what Isaac Newton learned by sitting under an apple tree. Fortunately, you decide to wear a helmet, so you may be more practical than Newton was when an apple fell on his head. And you're in luck, an apple (ma = 0.3 kg) falls vertically from the tree and strikes your helmet with a velocity, V₁ = 5 m/sec. The apple then bounces off your helmet to the left at a velocity V₁ = 2 m/sec and an angle of 40° above the horizontal (see the figure). The contact time between the apple and the helmet is 0.12 seconds. (a) Determine the horizontal and vertical components of the impulse exerted by the helmet on the apple. (b) Determine the vertical component of the average impulsive force exerted by the helmet on the apple.

Since you are studying mechanics, you decide to consider what Isaac Newton learned by sitting under an apple tree. Fortunately, you decide to wear a helmet, so you may be more practical than Newton was when an apple fell on his head. And you're in luck, an apple (ma = 0.3 kg) falls vertically from the tree and strikes your helmet with a velocity, V₁ = 5 m/sec. The apple then bounces off your helmet to the left at a velocity V₁ = 2 m/sec and an angle of 40° above the horizontal (see the figure). The contact time between the apple and the helmet is 0.12 seconds. (a) Determine the horizontal and vertical components of the impulse exerted by the helmet on the apple. (b) Determine the vertical component of the average impulsive force exerted by the helmet on the apple.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Since you are studying mechanics, you decide to consider what Isaac
Newton learned by sitting under an apple tree. Fortunately, you decide
to wear a helmet, so you may be more practical than Newton was when
an apple fell on his head.
And you're in luck, an apple (ma = 0.3 kg) falls vertically from the tree
and strikes your helmet with a velocity, V₁ = 5 m/sec.
The apple then bounces off your helmet to the left at a velocity
V₁ = 2 m/sec and an angle of 40° above the horizontal (see the figure).
The contact time between the apple and the helmet is 0.12 seconds.
(a) Determine the horizontal and vertical components of the impulse
exerted by the helmet on the apple.
(b) Determine the vertical component of the average impulsive force
exerted by the helmet on the apple.
V₂ = 2 m/sec
Use COLM principles, starting with governing equations, to earn full credit.
V₁ = 5 m/sec

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