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A 4.5 kilo bag of sugar is on a counter How much work is required to put the bag on a shelf a distance of 0.36 m above the counter?
Wiki User
∙ 14y ago
In physics, work can be defined as a force applied over some distance.
Force is equal to the mass of an object times the acceleration of the object, so we can say: force = mass * acceleration, or F = m*a
Work applied over a distance would be: work = force * distance, or W = F * d
Given that
W = F * d
and
F = m * a
we can substitute the definition of F into the equation for W, thus giving:
W = m * a * d
In this example, acceleration is simply the acceleration of gravity: 9.81 m/sec^2
Therefore, our terms are:
m = 4.5 kilograms
a = 9.81 m/sec^2
d = .36 meters
and W is then:
W = 4.5 kg * 9.81 m/sec^2 * .36 meters
giving:
W = 15.89 [kg * m/sec^2 * meters]
The force unit comprised of [kg * m/sec^2] is the Newton, N
Finally, we have:
W = 15.89 N*m (Newton-meters)
Wiki User
∙ 14y ago
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