Calculating Force on a Falling Body: 5 kg, a = 15 m/s²

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Homework Help Overview

The discussion revolves around calculating the force required to make a 5 kg body fall vertically with an acceleration of 15 m/s². Participants are examining the relationship between the total acceleration, gravitational acceleration, and the resulting force.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants explore the equation F = m × (g + a) and question its validity. There is an attempt to isolate the actual acceleration from the total acceleration and gravitational acceleration. Some participants express uncertainty about their calculations leading to a force of 25 Newtons versus the expected 26 Newtons.

Discussion Status

The discussion is active, with participants sharing their interpretations and calculations. Some guidance is offered regarding the use of different values for gravitational acceleration, and there is acknowledgment of the discrepancy between calculated and expected values.

Contextual Notes

Participants are working under the assumption that the gravitational acceleration can vary (notably using 10 m/s² and 9.81 m/s²) and are trying to reconcile their results with the expected answer of 26 Newtons.

Ockonal
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Homework Statement


With what power we should force the body with mass 5 kg to make it fall down vertically with acceleration 15 m/s²?

a = 15 m/s²
g = 10 m/s²
m = 5 kg;
F - ?

Homework Equations


F = m×a;
F = m×g;

The Attempt at a Solution


F = m × (g + a);
But this is not right.

p.s. The answer is 26 Newtons.
 
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The resultant acceleration is 15 m/s^2, which means that

15 = actual acceleration + acceleration due to gravity

You need to compute the actual acceleration.
 
As I understand:
15 = x + g;
x = 5 m/s²;
F = m×a;
F = 5×5 = 25;
That's right? Cause answer is 26.
 
As I understand:
15 = x + g;
x = 5 m/s²;
F = m×a;
F = 5×5 = 25;
That's right? Cause answer is 26.
 
Ockonal said:
As I understand:
15 = x + g;
x = 5 m/s²;
F = m×a;
F = 5×5 = 25;
That's right? Cause answer is 26.

Well using g=9.81 will get you an answer closer to 26N.
 
Thanks! It solved my problem.
 

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