which of these two stones with equal mass will move farther: the stone that is pushed gently by one finger or the stone that is flicked with greater force
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The stone that was flicked with greater force will move farther.
This can be explained from Newtons' second law:
- Newton's second law states that any external force acting on an object will cause it to accelerate in the direction of the force and will be proportionate to the amount of force applied. It also relies on the mass of an object. This can also be represented as;
Force (Newton) = mass (Kg) * acceleration(m/s²)
F = m * a
- From the question, we know the mass of the stones are equal, but the force applied varies. Hence to know how far it has accelerated let us rewrite the formula as below:
a = F / m
For example, let us assume:
Force on stone that was pushed gently(F1) = 4 Newton
Force on stone flicked with greater force(F2) = 6 Newton
Mass of stone 1 (M1) = Mass of stone 2 (M2) = 2 Kg
∴ a1 = F1 / m1
= 4 / 2
= 2 m/s²
a2 = F2/ m2
= 6/ 2
= 3 m/s²
- Greater the acceleration achieved by the object greater the distance covered.
- Therefore, we conclude that the stone flicked with greater force will move farther than the one on which gently force was applied.
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