Q
QuestionPhysics

A NASA spacecraft measures the rate, R, at which atmospheric pressure on Mars decreases with altitude as R = 0.0406 kPa km- 1. Convert R to mJ m- 4.
3 months agoReport content

Answer

Full Solution Locked

Sign in to view the complete step-by-step solution and unlock all study resources.

Step 1
: Recall the necessary conversion factors and relationships.

We need to convert this rate to millijoules per square meter per kilometer (mJ m$^{-4}$).
We are given the rate of decrease of atmospheric pressure (R) with respect to altitude in kilometers (km) on Mars. To do this, we will use the conversion factors between the units and the relationship between pressure and distance.

Step 2
: Convert the given rate to the desired units.

0.0406 kPa1000 Pa1 kPa1 N1 Pa1 mJ103 J1 km1000 m=0.0406 mJ km10.0406 \ \text{kPa} \cdot \frac{1000 \ \text{Pa}}{1 \ \text{kPa}} \cdot \frac{1 \ \text{N}}{1 \ \text{Pa}} \cdot \frac{1 \ \text{mJ}}{10^{-3} \ \text{J}} \cdot \frac{1 \ \text{km}}{1000 \ \text{m}} = 0.0406 \ \text{mJ} \ \text{km}^{-1}
1 kPa = 1000 Pa Using these conversion factors, we can write:

Final Answer

The rate of decrease of atmospheric pressure on Mars is 0.0406 mJ m$^{- 4}$.

Need Help with Homework?

Stuck on a difficult problem? We've got you covered:

  • Post your question or upload an image
  • Get instant step-by-step solutions
  • Learn from our AI and community of students

Related Questions