The mass of planet Jupiter is `1.9xx10^(7)kg` and that of the Sun is `1.99xx10^(30)kg`. The mean distance of Jupiter from the Sun is `7.8xx10^(11)`m. Calculate the gravitational force which Sun exerts on Jupiter. Assuming that Jupiter moves in circular orbit around the Sun, also calculate the speed of Jupiter `G=6.67xx10^(-11)Nm^(2)kg^(-2)`.
Text Solution
AI Generated Solution
To solve the problem, we need to calculate the gravitational force that the Sun exerts on Jupiter and the speed of Jupiter as it orbits the Sun. We will use the formula for gravitational force and the formula for orbital speed.
### Step-by-Step Solution:
**Step 1: Calculate the Gravitational Force (F)**
The formula for gravitational force is given by:
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