Question

If the gravitonal force between two objects weighing 10 kg and 40 kg is 150×10-10 N. Find the distance between two objects​

Answer 1

$\huge\underbrace\mathfrak\red {ANSWER}$

.$d = 5.16 \times {10}^{ - 10.5} m$

Step-by-step explanation:

$F= \frac{Gm _{1}m _{2}}{ {d}^{2} } \\ 150 \times {10}^{10} = \frac{6.67 \times {10}^{ - 11} \times 15 \times 40}{ {d}^{2} } \\ {d}^{2} = \frac{6.67 \times {10}^{ - 11} \times 15 \times 40}{150 \times {10}^{10} } \\ {d}^{2} = 6.67 \times 4 \times {10}^{ - 11 - 10} \\ {d}^{2} = 26.68 \times {10}^{ - 21} \\ d = \sqrt{26.68 \times {10}^{ - 21} } \\ d = 5.16 \times {10}^{ - 10.5} m$