How much force and energy for moving a frictionless object

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Homework Help Overview

The discussion revolves around the motion of a 10 kg object being displaced 2 meters on a frictionless surface within 0.5 seconds. Participants are analyzing the forces and energy involved in this scenario, questioning the assumptions made regarding constant force and acceleration.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants attempt to calculate the final velocity and acceleration, using the provided equations of motion. Questions arise regarding the assumption of constant force and whether the calculations reflect the correct interpretation of the problem.

Discussion Status

There is an ongoing examination of the assumptions related to constant force. Some participants express uncertainty about the completeness of the original problem statement and seek clarification on what is being asked, while others challenge the calculations presented.

Contextual Notes

Participants note the lack of clarity in the original question regarding what specifically needs to be found, such as minimum energy or maximum force. There is also mention of potential misinterpretation of average speed versus final speed in the calculations.

5P@N
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Homework Statement


I have an object of 10 kg
It is to be displaced 2 meters
Assume a frictionless surface, and no wind resistance
The object begins as stationary, then is moved that distance in the span of .5 seconds.

Homework Equations


Force = mass* acceleration
acceleration = (delta velocity) / time
velocity = (delta position) / time

The Attempt at a Solution


initial velocity is 0
final velocity is: (2 - 0) meters / .5 second = 2 meters / .5 seconds= 4 meters per second
acceleration = (4 m/s - 0 m/s) / .5 seconds = 8 meters / second^2
8(m/s^2) * 10 kg = 80 Newtons

Correct?
 
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5P@N said:

Homework Statement


I have an object of 10 kg
It is to be displaced 2 meters
Assume a frictionless surface, and no wind resistance
The object begins as stationary, then is moved that distance in the span of .5 seconds.

Homework Equations


Force = mass* acceleration
acceleration = (delta velocity) / time
velocity = (delta position) / time

The Attempt at a Solution


initial velocity is 0
final velocity is: (2 - 0) meters / .5 second = 2 meters / .5 seconds= 4 meters per second
acceleration = (4 m/s - 0 m/s) / .5 seconds = 8 meters / second^2
8(m/s^2) * 10 kg = 80 Newtons

Correct?
You have mot stated what you are asked to find. You seem to have assumed a constant force. Is that given?
 
5P@N said:

Homework Statement


I have an object of 10 kg
It is to be displaced 2 meters
Assume a frictionless surface, and no wind resistance
The object begins as stationary, then is moved that distance in the span of .5 seconds.

Homework Equations


Force = mass* acceleration
acceleration = (delta velocity) / time
velocity = (delta position) / time

The Attempt at a Solution


initial velocity is 0
final velocity is: (2 - 0) meters / .5 second = 2 meters / .5 seconds= 4 meters per second
acceleration = (4 m/s - 0 m/s) / .5 seconds = 8 meters / second^2
8(m/s^2) * 10 kg = 80 Newtons

Correct?
Are you told to assume a constant force?
 
You have not provided the whole question. What exactly are you supposed to find? Minimum energy? Least maximum magnitude force?
As berkeman posted, you seem to have assumed a constant force, but even then your calculation is wrong:
5P@N said:
final velocity is: (2 - 0) meters / .5 second = 2 meters / .5 seconds= 4 meters per second
That calculates the average speed, not the final speed. Check your answer: constant acceleration of 8m/s2 for 0.5 seconds from rest would travel how far?
 
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What do you all mean when you say: "constant force"?

What would this constant force do? What are its attributes?

.5^2 = .25
.25 *8 = 2
since the object moved 2 meters, this appears correct. Or what am I missing?
 
5P@N said:
What do you all mean when you say: "constant force"?

What would this constant force do? What are its attributes?

.5^2 = .25
.25 *8 = 2
since the object moved 2 meters, this appears correct. Or what am I missing?
Review the equation relating time, distance, initial speed, and constant acceleration. You are missing something.

Please state the entire question, exactly as presented to you.
 

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