The sun has a mass of 1.99x10 30 kg the earth has a mass of 5.98x10 24 kg and is 1.496x10 11 m from the sun
a) Calculate the force of gravity acting on the eaarth by the sun
b) CAlculate the force of gravity acting on the sun by the earth
baijebe
a) To calculate the force of gravity acting on the Earth by the Sun, we can use the formula for gravitational force:
F = G * (m1 * m2) / r^2
Where:
F = force of gravity
G = gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2)
m1 = mass of the Sun (1.99x10^30 kg)
m2 = mass of the Earth (5.98x10^24 kg)
r = distance between the Sun and the Earth (1.496x10^11 m)
Substituting the values into the formula, we have:
F = (6.67430 × 10^-11 m^3 kg^-1 s^-2) * (1.99x10^30 kg) * (5.98x10^24 kg) / (1.496x10^11 m)^2
Calculating this expression gives us:
F ≈ 3.52 × 10^22 Newtons
Therefore, the force of gravity acting on the Earth by the Sun is approximately 3.52 × 10^22 Newtons.
b) To calculate the force of gravity acting on the Sun by the Earth, we can use the same formula as before, but switch the masses:
F = G * (m1 * m2) / r^2
Where:
m1 = mass of the Earth (5.98x10^24 kg)
m2 = mass of the Sun (1.99x10^30 kg)
Substituting the values into the formula, we have:
F = (6.67430 × 10^-11 m^3 kg^-1 s^-2) * (5.98x10^24 kg) * (1.99x10^30 kg) / (1.496x10^11 m)^2
Calculating this expression gives us:
F ≈ 1.95 × 10^20 Newtons
Therefore, the force of gravity acting on the Sun by the Earth is approximately 1.95 × 10^20 Newtons.
To calculate the force of gravity between two objects, we can use Newton's law of universal gravitation. According to this law, the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The formula for calculating the force of gravity is:
F = G * ((m1 * m2) / r^2),
where F is the force of gravity, G is the gravitational constant (approximately 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 their centers.
a) To calculate the force of gravity acting on the earth by the sun:
1. Identify the given values:
- Mass of the sun (m1): 1.99 × 10^30 kg
- Mass of the earth (m2): 5.98 × 10^24 kg
- Distance between them (r): 1.496 × 10^11 m
2. Substitute the values into the formula:
F = (6.67430 × 10^-11 m^3⋅kg^−1⋅s^−2) * ((1.99 × 10^30 kg * 5.98 × 10^24 kg) / (1.496 × 10^11 m)^2)
3. Calculate the force of gravity:
F = (6.67430 × 10^-11 m^3⋅kg^−1⋅s^−2) * (1.18702 × 10^55 kg) / (2.23616 × 10^22 m^2)
F ≈ 3.534 × 10^22 N
Therefore, the force of gravity acting on the earth by the sun is approximately 3.534 × 10^22 N.
b) To calculate the force of gravity acting on the sun by the earth, we use the same formula:
1. Identify the given values:
- Mass of the sun (m1): 1.99 × 10^30 kg
- Mass of the earth (m2): 5.98 × 10^24 kg
- Distance between them (r): 1.496 × 10^11 m
2. Substitute the values into the formula:
F = (6.67430 × 10^-11 m^3⋅kg^−1⋅s^−2) * ((1.99 × 10^30 kg * 5.98 × 10^24 kg) / (1.496 × 10^11 m)^2)
3. Calculate the force of gravity:
F = (6.67430 × 10^-11 m^3⋅kg^−1⋅s^−2) * (1.18702 × 10^55 kg) / (2.23616 × 10^22 m^2)
F ≈ 3.534 × 10^22 N
Therefore, the force of gravity acting on the sun by the earth is also approximately 3.534 × 10^22 N.
a and b are equal an opposite in direction.
force gravity=G M*m/d^2