Chapter 36: Q. 11 (page 1058)

Event A occurs at space-time coordinates $(300 m, 2 μs)$ .
a. Event B occurs at space time coordinates $(1200 m, 6 μs)$ . Could A possibly be the cause of B? Explain.
b. Event C occurs at space time coordinates $(2400 m, 8 μs)$ . Could A possibly be the cause of C? Explain

Short Answer

Expert verified

a. yes

b. no

Step by step solution

Part (a) Step 1: Given information

We have given, Space-time coordinates of A

$(300 m, 2 μs)$

Space time coordinates of B

$(1200 m, 6 μs)$

we have to find the is A possibly be the cause of B.

Simplify

The distance between the A and B

$∆ x = x_{B} - x_{A} ∆ x = 1200 m - 300 m ∆ x = 900 m$

The time taken from A to B

∆ t = t_{A} - t_{B} ∆ t = 6 μs - 2 μs ∆ t = 4 μs

then velocity will be

$V = \frac{∆ x}{∆ t} = \frac{900 m}{4 μs} V = 225 \times 10^{6} m / s V < < c$

Since speed is less than the speed of light then A will be cause of B.

Part (b) Step : Given information

We have given,

Space-time coordinates of A $(300 m, 2 μs)$

Space-time coordinates of C $(2400 m, 8 μs)$

we have to find the is A possibly be the cause of C.

SImplify

The distance between the A and C

$∆ x = x_{B} - x_{A} ∆ x = 2400 m - 300 m ∆ x = 2100 m$

The time taken from A to C

$∆ t = t_{A} - t_{B} ∆ t = 8 μs - 2 μs ∆ t = 6 μs$

then velocity will be

$V = \frac{∆ x}{∆ t} = \frac{2100 m}{6 μs} V = 350 \times 10^{6} m / s V > c$

It is not possible.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Event A occurs at space-time coordinates $(300 m, 2 μs)$ .
a. Event B occurs at space time coordinates $(1200 m, 6 μs)$ . Could A possibly be the cause of B? Explain.
b. Event C occurs at space time coordinates $(2400 m, 8 μs)$ . Could A possibly be the cause of C? Explain

Short Answer

Step by step solution

Part (a) Step 1: Given information

Simplify

Part (b) Step : Given information

SImplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Further Mechanics and Thermal Physics

Torque and Rotational Motion

Oscillations

Wave Optics

Energy Physics

Famous Physicists

Study anywhere. Anytime. Across all devices.

Event A occurs at space-time coordinates (300m,2μs). a. Event B occurs at space time coordinates (1200m,6μs). Could A possibly be the cause of B? Explain. b. Event C occurs at space time coordinates (2400m,8μs). Could A possibly be the cause of C? Explain

Short Answer

Step by step solution

Part (a) Step 1: Given information

Simplify

Part (b) Step : Given information

SImplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Further Mechanics and Thermal Physics

Torque and Rotational Motion

Oscillations

Wave Optics

Energy Physics

Famous Physicists

Study anywhere. Anytime. Across all devices.

Event A occurs at space-time coordinates $(300 m, 2 μs)$ .
a. Event B occurs at space time coordinates $(1200 m, 6 μs)$ . Could A possibly be the cause of B? Explain.
b. Event C occurs at space time coordinates $(2400 m, 8 μs)$ . Could A possibly be the cause of C? Explain