Calculate the gravitational force between the Sun and an object. The mass of the Sun is 1.99×1030 kg. The mass of the object is 868 ×103 kg. The distance between the object and the Sun is 1.496×1011 m.
To calculate the gravitational force between two objects, you can use the formula for gravitational force:
F = G * (m1 * m2) / r^2
Where:
F = gravitational force
G = gravitational constant (approximately 6.67430 x 10^-11 N(m/kg)^2)
m1 = mass of the first object (in kg)
m2 = mass of the second object (in kg)
r = distance between the centers of the two objects (in meters)
Given the following values:
Mass of the Sun (m1) = 1.99 × 10^30 kg
Mass of the object (m2) = 868 × 10^3 kg
Distance between the object and the Sun (r) = 1.496 × 10^11 m
Now, let's substitute these values into the formula:
F = (6.67430 x 10^-11 N(m/kg)^2) * ((1.99 × 10^30 kg) * (868 × 10^3 kg)) / (1.496 × 10^11 m)^2
F = (6.67430 x 10^-11) * (1.99 × 10^30) * (868 × 10^3) / (1.496 × 10^11)^2
Calculating this expression will give us the value of the gravitational force between the Sun and an object.
To calculate the gravitational force between the Sun and an object, we can use the formula for gravitational force:
F = (G * m1 * m2) / r^2
where:
F is the gravitational force,
G is the gravitational constant (6.67430 × 10^-11 m^3 kg^-1 s^-2),
m1 and m2 are the masses of the two objects, and
r is the distance between the objects.
Given:
Mass of the Sun (m1) = 1.99 × 10^30 kg
Mass of the object (m2) = 868 × 10^3 kg
Distance between the Sun and the object (r) = 1.496 × 10^11 m
Plugging in the values into the formula, we have:
F = (G * m1 * m2) / r^2
F = (6.67430 × 10^-11 * 1.99 × 10^30 * 868 × 10^3) / (1.496 × 10^11)^2
Now, let's calculate the value step by step:
Step 1: Calculate the numerator
Numerator = (6.67430 × 10^-11 * 1.99 × 10^30 * 868 × 10^3) = 2.95274162 × 10^24
Step 2: Calculate the denominator
Denominator = (1.496 × 10^11)^2 = 2.241616 × 10^22
Step 3: Divide the numerator by the denominator
F = Numerator / Denominator
F = (2.95274162 × 10^24) / (2.241616 × 10^22)
F ≈ 1.3165 × 10^2
Therefore, the gravitational force between the Sun and the object is approximately 1.3165 × 10^2 newtons.