A 62.9 kg spacewalking astronaut pushes off a 697.0 kg satellite, exerting a 117.0 N force for the 0.977 s it takes him to straighten his arms. How far apart are the astronaut and the satellite after 3.57 min?
To find the distance between the astronaut and the satellite after 3.57 minutes, we need to calculate the distance traveled during that time.
First, let's calculate the initial velocity of the astronaut and the satellite when the astronaut pushes off. To do this, we can use the equation:
Initial Velocity = (Force x Time) / Mass
First, let's convert the time from minutes to seconds:
3.57 minutes = 3.57 x 60 seconds = 214.2 seconds
Now, let's calculate the initial velocity of the astronaut:
Astronaut's Initial Velocity = (117.0 N x 0.977 s) / 62.9 kg
Next, let's calculate the initial velocity of the satellite:
Satellite's Initial Velocity = (117.0 N x 0.977 s) / 697.0 kg
Now that we have the initial velocities, we can calculate the distances traveled by the astronaut and the satellite during 214.2 seconds (3.57 minutes).
Distance = Initial Velocity x Time
Distance traveled by the astronaut = Astronaut's Initial Velocity x 214.2 seconds
Distance traveled by the satellite = Satellite's Initial Velocity x 214.2 seconds
Finally, to find the distance between the astronaut and the satellite after 3.57 minutes, we subtract the distance traveled by the astronaut from the distance traveled by the satellite:
Distance between the astronaut and the satellite = Distance traveled by the satellite - Distance traveled by the astronaut
Please calculate the values using the provided equations to find the final distance.