Question

Two spherical objects have masses of 7.5 x 10 kg and 9.2 x 10'kg. Their centers are

separated by a distance of 2.5 x 103 m. What is the magnitude of the gravitational force
between them?

Answer 1

Answer: 7.364 x 10^-4 N

Step-by-step explanation:

`$$Given:$$\begin{aligned}m_(1) &=7.5 * 10^(5) \mathrm{~kg} \\m_(2) &=9.2 * 10^(7) \mathrm{~kg} \\r &=2.5 * 10^(3) \mathrm{~m}\end{aligned}$$Here, $m_(1), m_(2)$, and $r$ are the first mass, the second mass, and the distance`

`$$The gravitational force exerted between the masses is determined as follows.$$F=G (m_(1) m_(2))/(r^(2))$$Here, $G$ is the gravitational constant.Substitute the known values.$$\begin{aligned}F &=\left(6.67 * 0^(-11) \mathrm{~N} \mathrm{~m}^(2) / \mathrm{kg}^(2)\right) \frac{\left(7.5 * 10^(5) \mathrm{~kg}\right)\left(2.5 * 10^(7) \mathrm{~kg}\right)}{\left(2.5 * 10^(3) \mathrm{~m}\right)^(2)} \\&\bold{=7.364 * 10^(-4) \bold{\mathrm{~N}}}\end{aligned}$$`