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

AI Thread Summary
To calculate the force required to make a 5 kg body fall with an acceleration of 15 m/s², the total effective acceleration must include gravity. The formula used is F = m × (g + a), where g is the acceleration due to gravity (approximately 10 m/s²). The correct approach reveals that the actual acceleration needed is 5 m/s², leading to a force calculation of F = 5 kg × 5 m/s², which gives 25 Newtons. However, using a more precise value for g (9.81 m/s²) results in a force closer to the expected answer of 26 Newtons. This clarification resolves the initial confusion regarding the calculation of force on a falling body.
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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