Answer :
To find the gravitational force between two students, John and Mike, let's follow these steps:
1. Identify the Known Values:
- The gravitational constant, [tex]\( G = 6.67 \times 10^{-11} \, \text{m}^3 \, \text{kg}^{-1} \, \text{s}^{-2} \)[/tex].
- Mass of John, [tex]\( m_1 = 81 \, \text{kg} \)[/tex].
- Mass of Mike, [tex]\( m_2 = 93 \, \text{kg} \)[/tex].
- The distance between them, [tex]\( r = 0.62 \, \text{m} \)[/tex].
2. Use the Formula for Gravitational Force:
The formula to calculate the gravitational force ([tex]\( F_g \)[/tex]) between two masses is:
[tex]\[
F_g = \frac{G \times m_1 \times m_2}{r^2}
\][/tex]
3. Substitute the Values into the Formula:
Plugging in the known values, we get:
[tex]\[
F_g = \frac{(6.67 \times 10^{-11}) \times 81 \times 93}{(0.62)^2}
\][/tex]
4. Calculate the Result:
By performing the calculations, you find the gravitational force:
[tex]\[
F_g \approx 1.307 \times 10^{-6} \, \text{N}
\][/tex]
This value, [tex]\( F_g = 1.307 \times 10^{-6} \, \text{N} \)[/tex], is the gravitational force between John and Mike based on their masses and the distance separating them.
1. Identify the Known Values:
- The gravitational constant, [tex]\( G = 6.67 \times 10^{-11} \, \text{m}^3 \, \text{kg}^{-1} \, \text{s}^{-2} \)[/tex].
- Mass of John, [tex]\( m_1 = 81 \, \text{kg} \)[/tex].
- Mass of Mike, [tex]\( m_2 = 93 \, \text{kg} \)[/tex].
- The distance between them, [tex]\( r = 0.62 \, \text{m} \)[/tex].
2. Use the Formula for Gravitational Force:
The formula to calculate the gravitational force ([tex]\( F_g \)[/tex]) between two masses is:
[tex]\[
F_g = \frac{G \times m_1 \times m_2}{r^2}
\][/tex]
3. Substitute the Values into the Formula:
Plugging in the known values, we get:
[tex]\[
F_g = \frac{(6.67 \times 10^{-11}) \times 81 \times 93}{(0.62)^2}
\][/tex]
4. Calculate the Result:
By performing the calculations, you find the gravitational force:
[tex]\[
F_g \approx 1.307 \times 10^{-6} \, \text{N}
\][/tex]
This value, [tex]\( F_g = 1.307 \times 10^{-6} \, \text{N} \)[/tex], is the gravitational force between John and Mike based on their masses and the distance separating them.
