Question

what is the mass of two identical objects which experience a force of 6.67×10¹¹N and are separated by a distance of 1 meter ?​

Answer 1

Answer:

Let the two identical objects have mass m1 and m2. So,

Mass of m1 =mass of m2 =m kg

Force = 6.67×10¹¹N

Distance =1 meter

By using the formula of Gravitation,

$F \: = G \: \frac{m1m2}{ {r}^{2} }$

The value of G is 6.67×10^-11Nm²/kg².

Therefore,

$6.67 \times {10}^{11} n = \frac{6.67 \times {10}^{ - 11} {m}^{2} }{ {1}^{2} }$

$\frac{6.67 \times {10}^{11} \times 1}{6.67 \times {10}^{ - 11} } {kg}^{2} = {m}^{2}$

The

${10}^{22} {kg}^{2} = {m}^{2}$

$\sqrt{ {10}^{22} }kg = m$

${10}^{11} kg = m1 = m2$

The mass of each identical object is 10¹¹kg.