Chapter 36: Q. 20 (page 1059)

Jill claims that her new rocket is $100 m$ long. As she flies past your house, you measure the rocket’s length and find that it is only $80 m$ What is Jill’s speed, as a fraction of $c$ ?

Short Answer

Expert verified

Jill have a speed $0.6 c$

Step by step solution

Given Information

We have given that the length of the new rocket is $100 m$ .

We need to find Jill’s speed.

Simply

Consider:

$L = 100 m L' = 80 m$

using formula:

$L' = L \sqrt{(1 - \frac{v^{2}}{c^{2}})} . . . (1)$

Solve $\frac{v}{c}$ from equation (1)

$L' = L \sqrt{(1 - \frac{v^{2}}{c 2})} \frac{L'}{L} = \sqrt{(1 - \frac{v^{2}}{c 2})} \frac{80}{100} = \sqrt{(1 - \frac{v^{2}}{c 2})} 0.8 = \sqrt{(1 - \frac{v^{2}}{c 2})} 0.64 = (1 - \frac{v^{2}}{c 2}) 0.36 = \frac{v^{2}}{c 2} 0.6 = \frac{v}{c} \Rightarrow v = 0.6 c$

Jill's speed is $0.6 c$ from speed of light

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Jill claims that her new rocket is $100 m$ long. As she flies past your house, you measure the rocket’s length and find that it is only $80 m$ What is Jill’s speed, as a fraction of $c$ ?

Short Answer

Step by step solution

Given Information

Simply

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Jill claims that her new rocket is 100mlong. As she flies past your house, you measure the rocket’s length and find that it is only 80m What is Jill’s speed, as a fraction of c?

Short Answer

Step by step solution

Given Information

Simply

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Particle Model of Matter

Electricity and Magnetism

Linear Momentum

Physics of Motion

Magnetism and Electromagnetic Induction

Famous Physicists

Study anywhere. Anytime. Across all devices.

Jill claims that her new rocket is $100 m$ long. As she flies past your house, you measure the rocket’s length and find that it is only $80 m$ What is Jill’s speed, as a fraction of $c$ ?