Demonstrate using Newton’s law that the acceleration of an object falling (assume from rest) from a height H above the ground is independent of its mass. Your demonstration should contain a scheme, conceptual and physical explanations.
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Answers & Comments
Newton's 2nd law of motion is
F = ma
where m is the mass of the objet and a is its accelration. For a falling objet F = mg, therefor
mg = ma
m cancels out from the sides and we get a = g. So the mass of the object does not enter the equation of motion
y = v * t - (1/2) * g * t ^ 2
for falling object.
Using Newton's law
F = mg (definition of gravitational field strength)
a = F/m (comes from Newton's second law)
So a = (mg) / m = g, and does not depend on mass.