A couple of astronauts agree to rendezvous in space after hours. Their plan is to let gravity bring them together. She has a mass of 60.0 kg and he a mass of 76.0 kg , and they start from rest 25.0 m apart. Find his initial acceleration.

Respuesta :

Answer:

Explanation: This is can be solve by knowing Newton's law of universal gravitation. Two masses will be attracted to each other by a force that will be proportional to their masses. The following equation describes it.

[tex]F = G \frac{M1 * M2}{d^{2} }[/tex]

Knowing both their masses, the distance and the G, which is the universal gravitation constant (6.674×10−11) [tex]N * (m/kg)^{2}[/tex], give us the following results:

F = [tex]4.869 * 10^{-10}[/tex]

With the force, we can calculate the acelaration for each body using Newton's Law

F = m*a

Accomodating the equation

F / m = a

For the male austronaut which weight 76 kg

a = [tex]64.065 * 10^{-13}  (m/s)[/tex]

ACCESS MORE