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#### Concept explainers

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Rank the following velocities according to the kinetic energy a particle will have with each velocity, greatest first: (a)
*v* = 5 m/s at 30° to the horizontal.

**To rank:**

The velocity according to the greatest kinetic energy at first.

## Answer to Problem 1Q

**Solution:**

All velocities have the same kinetic energy.

### Explanation of Solution

**1) Concept:**

To rank kinetic energy, we have to find first find the resultant velocity, and then use the formula for kinetic energy in which the mass is the same for all velocities. Therefore, kinetic energy is ranked only on the magnitude of velocity.

**2) Formula:**

i)

ii)

**3) Given:**

i)

ii)

iii)

iv)

v)

vi)

4) **Calculation:**

First find the resultant velocity as follows:

For

For

For

For

For

For

Now kinetic energy can be found by using the following formula:

Assume

So

As the resultant velocity

**Conclusion:**

Resultant velocity is found by using Pythagoras theorem; from where the kinetic energy could be calculated.

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# Chapter 7 Solutions

Fundamentals of Physics Extended

#### Additional Science Textbook Solutions

The Cosmic Perspective Fundamentals (2nd Edition)

Physics for Scientists and Engineers with Modern Physics

Essential University Physics: Volume 2 (3rd Edition)

Matter and Interactions

The Cosmic Perspective (8th Edition)

Conceptual Integrated Science

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