5. calculate the force of gravity between these two masses. show all steps/label all units\nm₁ = 6.66 × 10⁶…

Explanation:

Step1: Write the formula for gravitational force

The formula for the gravitational force (F) between two masses (m_1) and (m_2) separated by a distance (r) is (F = G\frac{m_1m_2}{r^{2}}), where (G = 6.67\times10^{- 11}\space N\cdot m^{2}/kg^{2}) (the gravitational constant).

Step2: Substitute the given values into the formula

Substitute (m_1 = 6.66\times10^{6}\space kg), (m_2 = 7.77\times10^{7}\space kg), (r = 3.33\times10^{3}\space m), and (G = 6.67\times10^{-11}\space N\cdot m^{2}/kg^{2}) into the formula: [ \begin{align*} F&=(6.67\times 10^{-11})\frac{(6.66\times 10^{6})(7.77\times 10^{7})}{(3.33\times 10^{3})^{2}}\ \end{align*} ] First, calculate the numerator ((6.66\times 10^{6})(7.77\times 10^{7})=6.66\times7.77\times10^{6 + 7}=51.74[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]