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Imagine a parallel universe in which the electric force has the same properties

ID: 1915191 • Letter: I

Question

Imagine a parallel universe in which the electric force has the same properties as in our universe but there is no gravity. In this parallel universe, the sun carries charge Q, the earth carries charge -Q, and the electric attraction between them keeps the earth in orbit. The earth in the parallel universe has the same mass, the same orbital radius, and the same orbital period as in our universe. Part A Calculate the value of Q. (Consult Appendix as needed.) Express your answer using two significant figures.

Explanation / Answer

k Q^2/R^2 = GMm/R^2

Q = (GMm/k)

Q = (6.67e-11*1.99e30*5.97e24/9e9)

Q = 2.967e17 C

Q 3.0 * 10^17 C