Final answer:
The gravitational force between Jupiter and Earth can be calculated using Newton's Law of Universal Gravitation. The force is approximately 1.98 x 10²⁷N.
Step-by-step explanation:
To calculate the gravitational force between two masses, we can use Newton's Law of Universal Gravitation. The formula is given by:
F = G × (m1 ×m2) / r²
Where F is the gravitational force, G is the gravitational constant (6.67 x 10⁻¹¹N m²/kg²), m1 and m2 are the masses of the objects, and r is the distance between them.
Using the given masses and distance, the calculation would be:
- Convert the distance between Jupiter and Earth from km to meters: 6.29 x 10^6 km = 6.29 x 10^9 m
- Plug the values into the formula: F = (6.67 x 10⁻¹¹N m²/kg²) × ((19 x 10²⁶kg) ×(6 x 10²⁴ kg)) / (6.29 x 10⁹ m)²
- Calculate the result using a calculator.
The gravitational force between Jupiter and Earth is approximately 1.98 x 10²⁷ N.