Question

the masses of 2 object a and b are 100 kg and 50kg respectively . if the gravitational force acting between them is 5×10^-8 . calculate the distance between the object​

Answer 1

Given : —

• Mass of object a = 100 kg
• Mass of object b = 50 kg
• Gravitational force acting between them = $\sf{5 \times {10}_{-8}}$

To find : —

• The distance between the objects

Solution : —

As we know that, $\sf{g = 6.67 \times {10}^{-11}}$Nm²/kg²

Using Formula : —

$\underline{ \fbox{ \bf{F = G \dfrac{m_{1}m_{2}}{ {r}^{2} } }}} \\ \\ \rightarrow \sf{(5 \times {10}^{ - 8}) = (6.67 \times {10}^{ - 11}) \dfrac{100 \times 50}{ {r}^{2} } } \\ \\ \rightarrow \sf{ {r}^{2} = \dfrac{6.67 \times {10}^{ - 11} \times 5000}{5 \times {10}^{ - 8}} } \\ \\ \rightarrow \: \sf{ {r}^{2} = \dfrac{6.67 \times {10}^{ - 11} \times 5 \times {10}^{3} }{5 \times {10}^{ - 8}}} \\ \\ \rightarrow \: \sf{ {r}^{2} = \dfrac{6.67 \times \cancel{ 5 \times {10}^{ - 8} }}{ \cancel{5 \times {10}^{ - 8}}}} \\ \\ \rightarrow \: \sf{ {r}^{2} = 6.67 } \\ \\ \rightarrow \: \sf{r = \sqrt{6.67} } \\ \\ \rightarrow \: \sf{r = 2.58 \: m}$

Hence, the distance between the objects is 2.58 m .