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State Newton’s three laws of motion . Calculate the magnitude offorce required to produce an acceleration of 2 m/s 2in a body ofmass 12.5 kg

Question

State Newton’s three laws of motion.

Calculate the magnitude of force required to produce an acceleration of 2 m/s² in a body of mass 12.5 kg.

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Solution

Newton's three laws of motion are:

  1. Law of Inertia: An object at rest tends to stay at rest and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

  2. Law of Acceleration: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

  3. Law of Action-Reaction: For every action, there is an equal and opposite reaction.

Now, to calculate the magnitude of force required to produce an acceleration of 2 m/s^2 in a body of mass 12.5 kg, we can use the second law of motion (F = ma).

Here, m = 12.5 kg and a = 2 m/s^2.

So, F = m * a = 12.5 kg * 2 m/s^2 = 25 N.

Therefore, the magnitude of the force required is 25 Newtons.

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