/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q20E Through a window in Carl's space... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Through a window in Carl's spaceship, passing al 0.5c, you watch Carl doing an important physics calculation. By your watch it takes him 1 min. How much time did Carl spend on his calculation?

Short Answer

Expert verified

The time spends by Carl in spaceship for calculation is0.87min.

Step by step solution

01

Identification of given information

The given data can be listed below as:

  • The speed of spaceship is, v=0.5c.
  • The time measured by watch is, .
02

Usage of time dilation concept

The problem is based on the concept of time dilation. The spaceship for this problem is moving at half the speed of light.

03

Determination of the formula of the time dilation for spaceship

The formula to calculate the time dilation for spaceship is:

t2=t11-v2c2

04

Determination of the time dilation for spaceship

Substitute all the values in the above equation.

1min=t11-(0.5c)2c2t1=0.87min

Therefore, the time spend by Carl in spaceship for calculation is0.87min.

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.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

By how much (in picograms) does the mass of 1 mol of ice at 0°Cdiffer from that of 1 mol of water at 0°C?

If it is fundamental to nature that a given mass has a critical radius at which something extraordinary happens (i.e., a black hole forms), we might guess that this radius should depend only on mass and fundamental constants of nature. Assuming that rcriticaldepends only on M, G, and c, show that dimensional analysis gives the equation for the Schwarzschild radius to within a multiplicative constant.

You fire a light signal at 60°north of west (a) Find the velocity component of this, signal according to an observer moving eastward relative to you at half the speed of light. From them. determine the magnitude and direction of the light signal's velocity according to this other observer. (b) Find the component according to a different observer, moving westward relative to you at half the speed of light.

At rest, a light source emits 532 nmlight. (a) As it moves along the line connecting it and Earth. observers on Earth see412 nm . What is the source's velocity (magnitude and direction)? (b) Were it to move in the opposite direction at the same speed. what wavelength would be seen? (c) Were it to circle Earth at the same speed. what wavelength would be seen?

In a television picture tube, a beam of electrons is sent from the back to the front (screen) by an electron gun. When an electron strikes the screen, il causes a phosphor to glow briefly. To produce an image across the entire screen. the beam is electrically deflected up and down and left and right. The beam may sweep from left to right at a speed greater than c. Why is this not a violation of the claim that no information may travel faster than the speed of light?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.