Answered: When someone lands froma jump is the…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

When someone lands froma jump is the normal force on the person greater than, less than or equal to the force of gravity on the person?

Expert Solution

Step 1

The Answer is Normal Force is greater than Force of gravity .

REASON:

Let's understand this problem by a primitive example , An object of mass m lands on the ground from a height h .

Consider the velocity is V when it's makes contact with the ground , V= $\sqrt{2 g h}$ (By Applying conservation of energy) and thus has momentum P=mV .

To make the momentum P Zero Normal Force by the ground comes into action by slowing down the object with a time-span $∆ t$ .

By Newtons 2nd Law ,Normal Force F= $\frac{∆ p}{∆ t} = \frac{m V - 0}{∆ t} = \frac{m \sqrt{2 g h}}{∆ t}$

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