How long will it take a 1500 W motor to lift a 300 kg piano to a sixth-story window 20 m above?
2 answers:
It will take the motor 39.2 seconds to lift the piano to the sixth-story window.
<u>Given the following data;</u>
- Power = 1500 Watts
- Mass = 300 kg
- Height = 20 meters
We know that acceleration due to gravity is equal to 9.8 m/s².
To find how long it will take to lift the piano to the sixth-story window;
First of all, we would have to determine the gravitational potential energy required to lift the piano up.
Mathematically, gravitational potential energy is given by the formula;
where:
G.P.E is the gravitational potential energy of an object.
m is the mass of the object.
g is the acceleration due to gravity.
h is the height of the object.
Substituting into the formula, we have;
G.P.E = 58,800 Joules
Next, we would determine the time using the following formula;
Substituting the values into the formula, we have;
<em>Time = 39.2 seconds.</em>
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The three points give you three equations, which you can solve by your favorite method.
.. 0m +0n +b = 6
.. 1m +0n +b = -3
.. 0m +2n +b = 5
(m, n, b) = (-9, -1/2, 6)
so the equation of the plane can be written as
.. z = -9x -1/2y +6
_____
In standard form, this would be
.. 18x +y +2z = 12
.. 0m +0n +b = 6
.. 1m +0n +b = -3
.. 0m +2n +b = 5
(m, n, b) = (-9, -1/2, 6)
so the equation of the plane can be written as
.. z = -9x -1/2y +6
_____
In standard form, this would be
.. 18x +y +2z = 12