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How is the force needed to lift a block related to the distance it travels?
Wiki User
∙ 15y ago
Strictly speaking a force doesn't do work. For a force to become work it has to be applied through a distance.
Force has the units Kg m/s2 called Newtons
Work has the units Kg m2/s2 called Joules.
For an example, lets say that we have a 100 kg mass resting on the ground. Gravity is holding the mass there by a force of 1000 Newtons. (The acceleration due to gravity is so close to 10 m/s2 that we will use this value to make things easier on our wee brains) Mass times acceleration equals force so for a 100 kg being accelerated at 10m/s2 gives 1000 Newtons. The ground is opposing the force of gravity with an equal and opposite force so the 100 Kg mass isn't going anywhere.
Now lets suppose that a strong boy comes along and attempts to lift the 100 Kg mass off of the ground. (Yes it is a boy, his name is Pablo if you must know). At first he lifts with only 1000 Newton force. All this does is releave the ground of the obligation to hold the mass still. The net forces acting on the mass are still zero and nothing moves. Despite all the 'effort' the boy is making no work is being done as no distance is transpired.
Now if the boy increases his efforts the force upwards increases by one whole Newton and the mass begins to accelerate upwards. Force divided by mass equals acceleration so 1 Newton / 100 Kg = 0.01 m/s2. The mass start moving upwards rather slowly.
Now lets just ignore all the complexity of distance related to time under constant acceleration (x=1/2at2 + vt + x0 if you really must know) and lets just say that the boy keeps up his efforts until the mass has been lifted a whole ten meters. (Pablo's a very tall kid) If he was applying a constant 1001 Newtons all the way then the net force on the mass was 1Newton (minus 1000 due to gravity). And as the force (of one newton) went through a distance of 10 meters, then the work done is 1 Newton x 10 meters = 10 joules. force and distance multiplied, divided by time is the equation to determine power
Wiki User
∙ 15y ago
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