Solved: "The approximate distance between earth and the sun..."

High School
Other

Margie Marx

Answered question

2021-12-10

The approximate distance between earth and the sun is

1.5 \times 10^{11}

meters, calculate the average speed in kilometers per second. The orbital period of the earth is

3.16 \times 10^{7}

.
km/s=?

Answer & Explanation

redhotdevil13l3

Beginner2021-12-11Added 30 answers

Solution:
The expression for the average speed of earth rotating around the sun is,

v = \sqrt{\frac{G M}{R}}

Here, average speed of earth rotating around the sun is v, gravitational constant is G, mass of sun is M, and average distance between earth and sun is R.
Substitute

6.67 \times 10^{- 11} N \cdot \frac{m^{2}}{k} g^{2}

for G,

1.99 \times 10^{30} k g

for M, and

1.5 \times 10^{11} m

for R.

v = \sqrt{\frac{(6.67 \times 10^{- 11} N \cdot \frac{m^{2}}{k} g^{2}) (1.99 \times 10^{30} k g)}{1.5 \times 10^{11} m}}

= 29747.04 \frac{m}{s} (\frac{1 k \frac{m}{s}}{10^{3} \frac{m}{s}})

=29.75km/s

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Other

Didn't find what you were looking for?