Chapter 36: Q. 37 (page 1060)

What are the rest energy, the kinetic energy, and the total energy of a $1.0 g$ particle with a speed of $0.80 c$ ?

Short Answer

Expert verified

$K E = 2.88 \times 10^{13} J E_{ο} = 9.0 \times 10^{13} J E_{t o t a l} = 1.188 \times 10^{14} J$

Step by step solution

Given Information

We have given that

m = 1.0 g \to 0.001 k g v = 0.80 c

Simplify

Kinetic Energy formula is

$K E = \frac{1}{2} m v^{2}$

Therefore substituting values in equation we get

$K E = \frac{1}{2} m v^{2} K E = \frac{1}{2} (0.001 k g) {(0.8)}^{2} {(3 \times 10^{8})}^{2} K E = 2.88 \times 10^{13} J$

Now, to find rest energy we use the below formula

$E_{ο} = m c^{2}$

Substituting values in rest energy formula we get

$E_{ο} = m c^{2} E_{ο} = (0.001 k g) {(3 \times 10^{8})}^{2} E_{ο} = 9.0 \times 10^{13} J$

Lastly, to find the total energy we will use the below formula

$E_{t o t a l} = K E + E_{ο}$

Substitute the given values in the total energy formula

$E_{t o t a l} = K E + E_{ο} E_{t o t a l} = 2.88 \times 10^{13} J + 9.0 \times 10^{13} J E_{t o t a l} = 1.188 \times 10^{14} J$

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What are the rest energy, the kinetic energy, and the total energy of a $1.0 g$ particle with a speed of $0.80 c$ ?

Short Answer

Step by step solution

Given Information

Simplify

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What are the rest energy, the kinetic energy, and the total energy of a 1.0g particle with a speed of 0.80c?

Short Answer

Step by step solution

Given Information

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Conservation of Energy and Momentum

Physical Quantities And Units

Modern Physics

Magnetism and Electromagnetic Induction

Fluids

Work Energy and Power

Study anywhere. Anytime. Across all devices.

What are the rest energy, the kinetic energy, and the total energy of a $1.0 g$ particle with a speed of $0.80 c$ ?