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Question

An object of mass 16 kg moving with an acceleration of 3 metre second square. Calculate the applied force if the same force is applied on an object of mass 24 kg how much will be the acceleration?

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Solution

From Newton’s Second Law of Motion, the force needed to accelerate a moving object of mass m at acceleration a is given by ;

F = ma
Now in this first case

we have mass m=16kg

acceleration a = 3 m/s2

F=ma
=> F = 16 * 3= 48 N

So we found F=48 N

Now applying this 48 N force on an object of mass 24 kg we have to find acceleration.

So using the same relation

F=48 N

m=24 kg

since F=ma

a=F/m
a = 48/24 = 2 m/s2.


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