analyse projectile motion using energy

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter11: Energy And Its Conservation
Section: Chapter Questions
Problem 77A
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How do you analyse projectile motion using energy?

Expert Solution
Step 1

Consider the particle is taken to the projectile motion from ground (P) as shown in the figure with initial velocity v attains the maximum height h.

Resolve the components of velocity as v cosθ (horizontal component) and v sin θ (vertical component) shown in the figure.

At height h, velocity is v cosθ.

Physics homework question answer, step 1, image 1

 

 

 

Step 2

(a)

At highest point Q,

Physics homework question answer, step 2, image 1

Let us take ratio of kinetic energy and potential energy at highest point.

Physics homework question answer, step 2, image 2

If initial angle is given then ratio of kinetic and potential can be determined.

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