To calculate the centripetal force of the Earth towards the Sun, you would need to use the following formula:
F = (m * v^2) / r
Where: F is the centripetal force, m is the mass of the Earth, v is the velocity of the Earth in its orbit around the Sun, r is the distance between the Earth and the Sun.
Given that the mass of the Earth is approximately 5.97 × 10^24 kg and the distance between the Earth and the Sun is 1.5 × 10^11 m, you would need to know the velocity of the Earth in its orbit to calculate the centripetal force accurately.
The velocity of the Earth in its orbit can be determined using the following formula:
v = 2 * π * r / T
Where: v is the velocity, r is the distance between the Earth and the Sun, T is the period of Earth's orbit around the Sun (which is approximately 365.25 days or 31,557,600 seconds).
Using this formula, you can find the velocity of the Earth in its orbit. Once you have the velocity, you can substitute the values into the first formula to calculate the centripetal force.