Help Acceleration in different forces

[Xantheri]

Investigate the acceleration produced by a series of different forces applied to a fixed mass and demonstrate that the acceleration is proportional to the applied force.

 

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When a force is applied to an object, it causes the object to accelerate. The acceleration produced by a force depends on the magnitude of the force and the mass of the object. The relationship between force, mass, and acceleration is given by Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).

To investigate the relationship between force and acceleration, let's consider a fixed mass of 1 kg. We will apply a series of different forces to this mass and measure the resulting acceleration.

First, let's apply a force of 1 Newton to the mass. Using Newton's second law, we can calculate the acceleration produced by this force as follows:

F = ma
1 N = 1 kg x a
a = 1 N / 1 kg
a = 1 m/s^2

Therefore, the acceleration produced by a force of 1 N on a 1 kg object is 1 m/s^2.

Now, let's apply a force of 2 N to the same mass. Using the same equation, we can calculate the resulting acceleration:

F = ma
2 N = 1 kg x a
a = 2 N / 1 kg
a = 2 m/s^2

Therefore, the acceleration produced by a force of 2 N on a 1 kg object is 2 m/s^2.

We can continue this process for a series of different forces and measure the resulting accelerations. We will find that the acceleration is proportional to the applied force, as predicted by Newton's second law. This means that if we double the force applied to the object, we will double the resulting acceleration, and so on.

In summary, the acceleration produced by a force applied to a fixed mass is directly proportional to the magnitude of the force applied. This relationship is described by Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.