Question

One of Kepler's three laws of planetary motion states that the square of the period, P, of a body orbiting the sun is proportional to the cube of its average distance, d, from the sun. The Earth has a period of 365 days and its distance from the sun is approximately 93,000,000 miles.

a.) Find P as a function of d.
P(d)=

Answer 1

P = k d^3
given, when P = 365 days, d = 93 000 000 miles
365 = k(93000000)^3
solve for k, you will need scientific notation, then rewrite the equation
Let me know what you get for k

Answer 2

I got 4.5378*10^-22 for k.

Answer 3

correct

Answer 4

Still incorrect according to WebWork

Answer 5

I assumed you had Kepler's law stated correctly, then looked it up and found:
The <b>square</b> of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.

so it would be
P^2 = k d^3

try it with this change