   Chapter 28, Problem 37PE

Chapter
Section
Textbook Problem

(a) Find the momentum of a 1.00 × 10 9 kg asteroid heading towards the Earth at 30.0 km/s. (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that γ = 1 + ( 1 / 2 ) v 2 / c 2 at low velocities.)

To determine

(a)

The relativistic momentum of the asteroid.

Explanation

Given info:

• The mass of the asteroid is 1×109kg.
• The asteroid is moving towards Earth with speed 30kms-1.

Convert kilometer per second to meter per second.

Formula used:

Formula to find the relativistic momentum of asteroids is,

p=mv(1+12v2c2)

Here, vis the velocity of the asteroid, mis the mass of the asteroid and cis the speed of light.

Calculation:

Substituting the given values, we get,

p=1×109kg×3×104ms-1(1+1<

To determine

(b)

The ratio of the relativistic momentum and classical momentum.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

What makes up a system of units?

An Introduction to Physical Science

What is a joint?

Human Biology (MindTap Course List)

5.33 Define the term partial pressure

Chemistry for Engineering Students 