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How many watts does it take to move one kilogram one meter on a level plane in a vacuum?
Wiki User
∙ 12y ago
Simple answer: It depends on how much time you want to spend moving that mass one meter.
Complex answer:
A watt is a measurement of power. By definition, P = F*d, where P is the power in watts (W), F is the force in newtons (N), and d is the displacement in meters (m). By substituting the familiar equation, F = m*a, we get P = m*a*d, where m is the mass in kilograms (kg) and a is the acceleration in meters per second squared (m/s2). Furthermore, a = dv/dt, where dv is the change in velocity, measured in meters per second (m/s), and dt is the total time taken for the velocity to change, measured in seconds (s), and dv = d/dt (d being the displacement and dt being the change in time once again). So, a = d/dt2, and P = m*d2/dt2.
Knowing the mass of the object (1 kg) and the total displacement (1 m), we can work out a general formula for the power, dependent on time. Substituting those values in, we get P = (1 kg) * (1 m)2/dt2, which simplifies to P = 1/dt2.
What this means is, 1 divided by the square of the time you wish to spend moving the 1-kg mass equals the power in watts that it will take to move said mass 1 meter.
Wiki User
∙ 12y ago
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