Problem 1 ( . You are on one bank of a river at height h want to jump across the river to the opposite bank, which is at the same height as the river horizontal distance d = 1.5 m away. = 2m above the river. %3D d (a) If you leave the bank of the river at an angle 0 = 30°, what initial speed do you need to just barely make it to the other side? (b) If you jump at this angle and with the speed you found in (a), what is your speed just before you land on the other side of the river? (c) Suppose that when you land on the other side of the fiver, an average force of 14 000 N brings you to rest. Assuming all of this force is exerted on your tibia, what is the percent change in the length of your tibia as you are landing? Assume the tibia has a cross-sectional area of 3 cm? and a Young's modulus of 1.4 x 1010 Pa.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter3: Motion In Two Dimensions
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Problem 1 ( . You are on one bank of a river at height h
want to jump across the river to the opposite bank, which is at the same height as the river
horizontal distance d = 1.5 m away.
= 2m above the river.
%3D
d
(a) If you leave the bank of the river at an angle 0 = 30°, what initial speed do you
need to just barely make it to the other side?
(b) If you jump at this angle and with the speed you found in (a), what is your speed
just before you land on the other side of the river?
(c) Suppose that when you land on the other side of the fiver, an average force of
14 000 N brings you to rest. Assuming all of this force is exerted on your tibia, what is the percent
change in the length of your tibia as you are landing? Assume the tibia has a cross-sectional area
of 3 cm? and a Young's modulus of 1.4 x 1010 Pa.
Transcribed Image Text:Problem 1 ( . You are on one bank of a river at height h want to jump across the river to the opposite bank, which is at the same height as the river horizontal distance d = 1.5 m away. = 2m above the river. %3D d (a) If you leave the bank of the river at an angle 0 = 30°, what initial speed do you need to just barely make it to the other side? (b) If you jump at this angle and with the speed you found in (a), what is your speed just before you land on the other side of the river? (c) Suppose that when you land on the other side of the fiver, an average force of 14 000 N brings you to rest. Assuming all of this force is exerted on your tibia, what is the percent change in the length of your tibia as you are landing? Assume the tibia has a cross-sectional area of 3 cm? and a Young's modulus of 1.4 x 1010 Pa.
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