Friday, January 8, 2010

If you double the weight of an object, will it's acceleration be twice as large or half as large?

This is in the absence of friction and other forces.... thanks in advance.If you double the weight of an object, will it's acceleration be twice as large or half as large?
weight = mg





F = ma


mg = ma


a = mg / m = g





for weight = 2mg


F = ma


2mg = ma


a = 2mg / m = 2g





2g is 2 times greater than g, so it doubles the acceleration.





Note, this is only true if you double the g constant, not the mass, because the mass cancels when solving for a. You can see this easily, if you drop a 1 pound ball and a 2 pound ball, both accelerate at the same rate. If you were to drop a 1 pound ball on the moon and on the Earth, you would see the ball accelerates more quickly on the Earth because g for earth = 9.8 and g for the moon = 9.8/6If you double the weight of an object, will it's acceleration be twice as large or half as large?
Your question is not clear. If you are dropping a two pound weight and a four pound weight, the acceleration will be the same. In this case the force is not fixed.





If by weight, you mean mass, and your force is constant, then the acceleration will be cut in half.





If the weight is doubled by doubling gravity, then the acceleration will double.





Is there a chance you are confusing 'weight' and 'mass'?
I believe F = MA would be the equation to use. Assuming that the force stayed constant, the acceleration would be half as much if the mass doubled.





Solving for A, A = F/M , so, If the new mass was twice the old mass, the new acceleration would be half.

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