We appreciate your visit to A 93 0 kg spacewalking astronaut pushes off a 620 kg satellite exerting a 115 N force for the 0 410 s it takes him. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
Using Newton's third law and the impulse-momentum relationship, after applying the force to the satellite, the astronaut and the satellite travel at their respective velocities. After 1.50 minutes, they will be approximately 52.47 meters apart.
Explanation:
To determine how far apart the astronaut and the satellite will be after 1.50 minutes, we must apply Newton's third law and the concepts involving momentum and impulse. Since the astronaut and satellite start at rest with respect to each other, the momentum of the system is initially zero. The force exerted by the astronaut on the satellite is equal and opposite to the force exerted on the astronaut by the satellite (action-reaction pair). The impulse delivered by the astronaut to the satellite is the force multiplied by the time of interaction, which equals change in momentum.
For the astronaut:
Impulse = (115 N)(0.410 s)
= 47.15 Ns
Change in momentum (Δp) = m * Δv
Therefore
Δv (for astronaut) = Impulse / mass of astronaut
= 47.15 Ns / 93.0 kg
≈ 0.507 m/s
For the satellite:
As per Newton's third law, the satellite experiences the same impulse but in the opposite direction.
The mass of the satellite is larger; hence, its velocity change will be smaller.
Δv (for satellite) = Impulse / mass of satellite
= 47.15 Ns / 620 kg
≈ 0.076 m/s
After becoming detached, the astronaut and the satellite move away from each other with their respective velocities. After 1.50 minutes (or 90 seconds), the distance between them can be calculated as:
Distance = (velocity of astronaut + velocity of satellite) * time
= (0.507 m/s + 0.076 m/s) * 90 s
= (0.583 m/s) * 90 s
≈ 52.47 meters
Therefore, the astronaut and the satellite will be approximately 52.47 meters apart after 1.50 minutes.
Thanks for taking the time to read A 93 0 kg spacewalking astronaut pushes off a 620 kg satellite exerting a 115 N force for the 0 410 s it takes him. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
