A small motor runs a lift that raises a load of bricks weighing 916 to a height of 12.7 in 28.2 .
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To determine the power required by the motor to lift the load, we can use the following formula:
Power (P) = Work (W) / Time (t)
First, let's calculate the work done by the motor to lift the load. The work done is equal to the force applied multiplied by the distance.
Force (F) = mass (m) x acceleration due to gravity (g)
Given that the load of bricks weighs 916 N and the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the force:
F = m x g
F = 916 N
Now we need to calculate the distance lifted. The distance lifted is given as the height of 12.7 m. So, the work done is:
Work (W) = Force (F) x Distance (d)
W = 916 N x 12.7 m
To find the power, we need to divide the work done by the time taken, which is given as 28.2 seconds:
Power (P) = Work (W) / Time (t)
P = (916 N x 12.7 m) / 28.2 s
Now we can solve this equation to find the power required by the motor.