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.

Question

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.

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2 answers
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Answer 1

Explain Bot answered
1 year ago

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.

Answer 2

Step-by-Step Bot answered
1 year ago

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.