# Solving the Pushy Astronaut Puzzle: Newton's Third Law

• Naeem
In summary, the astronaut of mass 70 kg exerts a force of 120 N on a satellite of mass 420 kg for 0.83 seconds. Using Newton's Third Law, the force exerted by the satellite on the astronaut is also 120 N. Applying F=ma, the acceleration of the astronaut is found to be 1.714 m/s^2. Using kinematics, the speed of the astronaut is found to be 1.42 m/s. The speed of the satellite is also 1.42 m/s. After 1 minute, they would be approximately 85.2 meters apart. The impulse of the system is found to be 99.6 Ns. By using the equation Ft
Naeem
Pushy Astronaut

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a) An astronaut of mass 70 kg pushes off a satellite of mass 420 kg, exerting a force of 120 N for the 0.83 s they are in contact. What is the speed of the astronaut after they have separated?
vastronaut = m/s

HELP: Remember Newton's Third Law. The astronaut exerts a force on the satellite. What is the force that the satellite exerts on the astronaut?
HELP: Apply F = ma. You can figure out the force from the Third Law. You know the mass so you can find the acceleration. Once you know that, apply kinematics to find the speed.

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b) What is the speed of the satellite after they have separated?
vsatellite = m/s

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c) How far apart are they after 1 minute?
D= m

I request some intial help with these parts thanks,

I know you know the basics of energy, that's all you need for these problems.

edit: not energy, momentum. I am stupid.

Last edited:
Impulse 'J' = Force * Delta t, Is this right

Impulse = Change in Momentum = mv-MV
so,

Given: Force = 120 N , delta t = 0.83 seconds.

m - mass of the astronaut = 70 kg
M - mass of the satellite = 420 kg

To find: Speed of the astronaut v_astronaut ( in m/s)

mv-MV = 120 * 0.83 = 99.6 Ns

Then what,,...

$$Ft = mv$$

F = 120, t = 0.83. The same force is applied to both the rocket and the ship. So then:

[itex] v = \frac{Ft}{m} [/tex] for each component.

Thanks, whozum, I finally got them all.!

## What is Newton's Third Law?

Newton's Third Law states that for every action, there is an equal and opposite reaction. This means that every force has a corresponding force in the opposite direction.

## How does Newton's Third Law apply to the Pushy Astronaut Puzzle?

In the Pushy Astronaut Puzzle, the astronaut and the wall are exerting equal and opposite forces on each other. The astronaut is pushing on the wall, and the wall is pushing back with an equal force, causing the astronaut to not be able to move.

## What is the goal of solving the Pushy Astronaut Puzzle?

The goal of solving the Pushy Astronaut Puzzle is to find a way for the astronaut to move without breaking Newton's Third Law. This means finding a solution that does not involve the astronaut pushing off of anything else.

## Why is it important to understand Newton's Third Law in this puzzle?

Understanding Newton's Third Law is important in this puzzle because it helps us understand the forces at play and how they affect the astronaut's ability to move. Without this understanding, it would be difficult to find a solution to the puzzle.

## What are some potential solutions to the Pushy Astronaut Puzzle?

Some potential solutions to the Pushy Astronaut Puzzle could involve using external forces, such as a rope or a jetpack, to move the astronaut without directly pushing off of anything. Another solution could involve changing the astronaut's shape or center of mass to distribute the forces more evenly.

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