Question

What is the magnitude of the gravitational force exerted by a 15 Kg mass on a 25 Kg mass separated by a distance of 25 cm. What is the acceleration produced in each mass?

Answer 1

Step 1:Given.

$$\begin{gathered} m_1=15\text{kg} \\ {m}_2=25\text{kg} \end{gathered}$$

$r=25\text{cm}$

Step 2:To Find:

Acceleration is produced in each mass.

Step 3: Calculate acceleration produced by on $m_1$

$$\begin{gathered} a_1=\frac{G{m}_2}{r^2} \\ =\frac{6.67\times {10}^{-11}\times 25}{{\left(0.25\right)}^2} \\ =2.67\times {10}^{-8}\frac{\text{m}}{{\text{s}}^2} \end{gathered}$$

Step 4: Calculate acceleration produced by on $m_2$.

$$\begin{gathered} a_2=\frac{G{m}_1}{r^2} \\ =\frac{6.67\times {10}^{-11}\times 15}{{\left(0.25\right)}^2} \\ =1.6\times {10}^{-8}\frac{\text{m}}{{\text{s}}^2}. \end{gathered}$$