The mass of Earth is about 3 × 10-3 times the mass of Jupiter. The mass of Earth is about 6 × 10 24 kg. What is the mass of Jupiter? Give your answer in scientific notation.
Use same process indicated in your previous post.
To find the mass of Jupiter, we can use the given information that the mass of Earth is about 3 × 10^(-3) times the mass of Jupiter.
Let's represent the mass of Jupiter as "x" in scientific notation.
Given:
Mass of Earth = 6 × 10^24 kg
Mass of Earth = (3 × 10^(-3)) * Mass of Jupiter
We can set up the equation as follows:
6 × 10^24 kg = (3 × 10^(-3)) * x
To solve for x, we need to isolate it on one side of the equation.
Dividing both sides of the equation by (3 × 10^(-3)), we get:
(6 × 10^24 kg) / (3 × 10^(-3)) = x
Simplifying the right side of the equation, we combine the terms:
(6 / 3) × (10^24 / 10^(-3)) = x
(2) × (10^(24 + 3)) = x
2 × 10^27 = x
Therefore, the mass of Jupiter is approximately 2 × 10^27 kg.
To determine the mass of Jupiter, we are given that the mass of Earth is 6 × 10^24 kg and that the mass of Earth is about 3 × 10^-3 times the mass of Jupiter.
First, let's find the ratio of the mass of Earth to the mass of Jupiter:
3 × 10^-3 = (6 × 10^24) / (m), where 'm' represents the mass of Jupiter.
Now, we can solve for 'm' using algebraic manipulation. We can start by cross-multiplying:
(3 × 10^-3) * (m) = 6 × 10^24
Next, let's isolate 'm' by dividing both sides of the equation by (3 × 10^-3):
m = (6 × 10^24) / (3 × 10^-3)
To simplify, we can divide the numerical values separately and subtract the exponents of 10:
m = (6 / 3) × (10^24 / 10^-3)
m = 2 × 10^27
Therefore, the mass of Jupiter is approximately 2 × 10^27 kg, as calculated using the given information and scientific notation.