Calculate the gravitational force between the Sun and Saturn. The mass of the Sun is 1.99×1030 kg. The mass of Saturn is 5680×1023 kg. The distance between them is 143×1010 m.
In Newtons
To calculate the gravitational force between the Sun and Saturn, you can use the formula for gravitational force:
F = (G * m1 * m2) / r^2
where:
F is the gravitational force,
G is the gravitational constant (approximated as 6.67430 × 10^-11 N(m/kg)^2),
m1 is the mass of the first object, in this case, the mass of the Sun,
m2 is the mass of the second object, in this case, the mass of Saturn, and
r is the distance between the two objects.
Let's substitute the given values into the formula:
F = (6.67430 × 10^-11 N(m/kg)^2) * (1.99 × 10^30 kg) * (5680 × 10^23 kg) / (143 × 10^10 m)^2
Now let's calculate it:
To calculate the gravitational force between two objects, we can use Newton's law of universal gravitation. The formula is:
F = (G * m1 * m2) / r^2
Where:
- F is the gravitational force
- G is the gravitational constant (approximately 6.674 × 10^-11 N(m/kg)^2)
- m1 and m2 are the masses of the objects
- r is the distance between the objects
Given:
Mass of the Sun, m1 = 1.99 × 10^30 kg
Mass of Saturn, m2 = 5.68 × 10^26 kg
Distance between Sun and Saturn, r = 1.43 × 10^11 m
Plugging these values into the formula:
F = (6.674 × 10^-11 N(m/kg)^2) * (1.99 × 10^30 kg) * (5.68 × 10^26 kg) / (1.43 × 10^11 m)^2
Now, let's calculate the value:
F = (6.674 × 10^-11) * (1.99 × 10^30) * (5.68 × 10^26) / (1.43 × 10^11)^2
F = 0.004066 N (rounded to 4 decimal places)
So, the gravitational force between the Sun and Saturn is approximately 0.004066 Newtons.