Question

By exerting a force on the astronaut, the vehicle in which they orbit experiences an equal and opposite force. If the mass of the vehicle is 155.1× greater than the astronaut by what factor would the astronaut's acceleration be affected? Think of a method in which recoil of the vehicle is avoided. original text = Discuss how this would affect the measurement of the astronaut’s acceleration.

Answer 1

Answer:

The astronaut's acceleration is 155.1 times the vehicle's acceleration

Explanation:

These effects due to Newton's third law of action and reaction. Since the forces are equal but in the opposite direction and each acting on a different body. We distance that the Force is F let's calculate the acceleration of the vehicle and the astronaut  

Astronaut

        F = $m_{ast}$  a₁

Vehicle

        F = $m_{veh}$ a₁

F = 555.1 $m_{ast}$ a₂

Let's match the equation

$m_{ast}$ a₁ = 155.1 $m_{ast}$ a₂

a₁ = 155.1 a₂

a₁ / a₂ = 155.1

The astronaut's acceleration is 155.1 times the vehicle's acceleration

We see that even when the acceleration of the vehicle is small, there is a very high multiplicative factor.

One method to improve this situation is that the vehicles fear some small retro-rocket vehicles to reduce their acceleration. This would have a very favorable impact on the astronaut's mission.

Another method would be for the astronaut himself to have the retro-rocket and control his acceleration.