How long will it take a 1080 W motor to lift a 330kg piano to a sixth-story window 16.0m above?
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To determine how long it will take a 1080 W motor to lift a 330 kg piano to a sixth-story window 16.0m above, we can use the equation for work:
Work = Force × Distance
The force required to lift the piano can be calculated using the formula for weight:
Force = mass × acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s².
Using these formulas, we can calculate the time required for the motor to do the work.
First, let's calculate the force:
Force = 330 kg × 9.8 m/s² = 3234 N
Next, let's calculate the work:
Work = Force × Distance
Work = 3234 N × 16.0 m = 51744 J
Now, to calculate the time required, we can use the equation:
Time = Work / Power
Where power is given in watts (W).
Plugging in the values:
Time = 51744 J / 1080 W
Finally, we can calculate the time:
Time = 47.9 seconds
Therefore, it will take approximately 47.9 seconds for the 1080 W motor to lift the 330 kg piano to a sixth-story window 16.0m above.