Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q79E

Expert-verified
Modern Physics
Found in: Page 67
Modern Physics

Modern Physics

Book edition 2nd Edition
Author(s) Randy Harris
Pages 633 pages
ISBN 9780805303087

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

At Earth's location, the intensity of sunlight is 1.5 kW / m2 . If no energy escaped Earth, by how much would Earth's mass increase in 1 day?

The increase in Earth’s mass for no escape of Sun’s energy from Earth is 7.34×105kg .

See the step by step solution

Step by Step Solution

Step 1: Identification of given data

The intensity of sunlight on Earth is I=1.5 kW/m2 .

The number of seconds in a day on Earth is t=1 day =86400 s.

The energy received by Earth per unit surface area from the sun is called the solar constant.

Step 2: Determination of energy received by Earth in one day

The energy received by Earth in time t is given as:

E=I . A . t

Here, A is the surface area of Earth and its value is 5.10×1014m2.

For the given values, equation becomes-

E=1.5 kW/m2103J/s1kW5.10×101486400 sE=6.61×1022J

Step 3: Determination of increase in Earth’s mass

The increase in Earth’s mass is given as:

E=mc2

Here, c is the speed of light in vacuum and its value is 3×108m/s

6.61×1022 J=m3×108m/s2m=7.34×105kg

Therefore, the increase in Earth’s mass for no escape of energy from Earth is 7.34×105kg .

Icon

Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.