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

In summary, the conversation discusses how to determine the force needed to make a 5 kg body fall vertically with an acceleration of 15 m/s². The necessary equations are F = m × a and F = m × g, with the correct answer being 26 Newtons.
  • #1
Ockonal
30
0

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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  • #2
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.
 
  • #3
As I understand:
15 = x + g;
x = 5 m/s²;
F = m×a;
F = 5×5 = 25;
That's right? Cause answer is 26.
 
  • #4
As I understand:
15 = x + g;
x = 5 m/s²;
F = m×a;
F = 5×5 = 25;
That's right? Cause answer is 26.
 
  • #5
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.
 
  • #6
Thanks! It solved my problem.
 

What is the formula for calculating force on a falling body?

The formula for calculating force on a falling body is F = m x a, where F is the force in Newtons, m is the mass in kilograms, and a is the acceleration in meters per second squared.

What is the mass of the falling body in this example?

The mass of the falling body in this example is 5 kilograms.

What is the acceleration of the falling body in this example?

The acceleration of the falling body in this example is 15 meters per second squared.

What is the unit of force used in this calculation?

The unit of force used in this calculation is Newtons (N).

What is the significance of calculating force on a falling body?

Calculating the force on a falling body is important because it helps us understand the impact of gravity on objects and how it affects their motion. It is also crucial in predicting and analyzing the behavior of objects in free fall, such as in physics experiments or real-life scenarios like skydiving or dropping objects from a height.

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