Dinstance traveled with a constant force?

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Homework Help Overview

The problem involves a spacecraft subjected to a constant force, seeking to determine the distance traveled as it accelerates from an initial velocity to a higher final velocity. The subject area pertains to dynamics and kinematics.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants attempt to apply Newton's second law (F=ma) to find acceleration and then relate it to distance using kinematic equations. Some express uncertainty about their calculations and seek clarification on their approach.

Discussion Status

There are multiple attempts to set up the problem, with participants exploring different equations and methods. Some guidance is suggested regarding the use of kinematic equations, but no consensus has been reached on the correct approach.

Contextual Notes

Participants note confusion regarding the application of equations and the relationship between acceleration, velocity, and distance. There is an emphasis on the need for further clarification on the steps involved.

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Homework Statement




A constant force of 396 N acts on a spacecraft of mass 7890 kg that has an initial velocity of 34 m/s. How far has the spacecraft traveled when it reaches a velocity of 4890 m/s?


The Attempt at a Solution



I tried doing F=ma and got the a= 19.92 and then setting up a=(vf-vi)/delta t

Didn't work...
I don't know what I did wrong. Please help. thank you
 
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Distance traveled with a constant force

Homework Statement


A constant force of 396 N acts on a spacecraft of mass 7890 kg that has an initial velocity of 34 m/s. How far has the spacecraft traveled when it reaches a velocity of 4890 m/s?


Tried setting it up with f=ma then taking (delta)v/(delta)t=a to find the position
 


disque said:

Homework Statement


A constant force of 396 N acts on a spacecraft of mass 7890 kg that has an initial velocity of 34 m/s. How far has the spacecraft traveled when it reaches a velocity of 4890 m/s?


Tried setting it up with f=ma then taking (delta)v/(delta)t=a to find the position

Maybe after finding the acceleration you would use

Vf2 = Vi2 + 2*a*x

to yield the distance
 
Merged two threads with the same question by disque (that's why there appear to be two original posts).
 

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