Self Assessment: Explain How Forces Affect Motion Using Newton's Laws

What force (in newtons) is required to accelerate a body with a mass of 32 kilograms at a rate of 12 m/s²?



Answer :

Final answer:

Newton's second law explains the relationship between force, mass, and acceleration. To accelerate a 32 kg object at 12 m/s², 384 newtons of force are required. The newton is the unit used to measure force in this context.


Explanation:

Newton's Second Law of Motion: Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The equation Fnet = ma summarizes this relationship, where Fnet is the net force, m is the mass of the object, and a is the acceleration.

Calculation of Force: To calculate the force required to accelerate a 32 kg object at 12 m/s², you can use Newton's second law formula: F = ma. Substituting the values, F = 32 kg * 12 m/s² = 384 N. Therefore, 384 newtons of force are needed to achieve this acceleration.

Unit of Force: The standard unit of force is the newton (N), defined as the force needed to accelerate a 1-kg system at a rate of 1 m/s².


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