Calculate the gravitational force between the Sun and Neptune. The mass of the Sun is 1.99×1030 kg. The mass of Neptune is 1020×1023 kg. The distance between them is 450×1010 m.
2x10ki power 2.3
To calculate the gravitational force between the Sun and Neptune, we can use Newton's law of universal gravitation formula:
F = (G * m1 * m2) / r^2
where:
F is the gravitational force
G is the gravitational constant (approximately 6.674 × 10^(-11) Nm^2/kg^2)
m1 is the mass of the Sun
m2 is the mass of Neptune
r is the distance between the Sun and Neptune
Now, let's substitute the given values into the formula:
F = (6.674 × 10^(-11) Nm^2/kg^2 * 1.99 × 10^30 kg * 1020 × 10^23 kg) / (450 × 10^10 m)^2
Simplifying this equation:
F = (6.674 × 10^(-11) Nm^2/kg^2 * 1.99 × 10^30 kg * 1020 × 10^23 kg) / (450 × 10^10 m * 450 × 10^10 m)
F = (6.674 × 10^(-11) Nm^2/kg^2 * 1.99 × 10^30 kg * 1020 × 10^23 kg) / (450 × 10^10 m) * (450 × 10^10 m)
Calculating this equation:
F = (6.674 × 1.99 × 1020 × 1023) / (450 × 450) × (10^(-11) × 10^30 × 10^23) / (10^10 × 10^10)
Simplifying further:
F = (6.674 × 1.99 × 1020 × 10^12) / (450 × 450)
F = (6.674 × 1.99 × 1020 × 1000000000000) / (202500)
F ≈ 2.670 × 10^24 N
Therefore, the gravitational force between the Sun and Neptune is approximately 2.670 × 10^24 Newtons.
To calculate the gravitational force between the Sun and Neptune, we can use Newton's law of universal gravitation. The formula is given by:
F = G * (m1 * m2) / r^2
where:
F is the gravitational force,
G is the gravitational constant (approximately 6.67430 × 10^-11 N(m/kg)^2),
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
Given:
Mass of the Sun (m1) = 1.99×10^30 kg,
Mass of Neptune (m2) = 1020×10^23 kg, and
Distance between them (r) = 450×10^10 m.
Substituting these values into the formula, we get:
F = (6.67430 × 10^-11 N(m/kg)^2) * ((1.99×10^30 kg) * (1020×10^23 kg)) / (450×10^10 m)^2
Now, let's calculate it step by step:
1. Calculate the product of the masses: (1.99×10^30 kg) * (1020×10^23 kg) = 2.0278×10^53 kg^2
2. Calculate the square of the distance: (450×10^10 m)^2 = 202500×10^20 m^2 = 4.0825×10^34 m^2
3. Substitute the values into the formula: F = (6.67430 × 10^-11 N(m/kg)^2) * (2.0278×10^53 kg^2) / (4.0825×10^34 m^2)
4. Simplify the expression: F = 12.34 × 10^7 N
Therefore, the gravitational force between the Sun and Neptune is approximately 12.34 × 10^7 Newtons (N).
just plug and chug
F = GMm/r^2