A 315 kg object is lifted 12 meters by a motor in 15 seconds. How much power does the motor deliver?
To determine the power delivered by the motor, we need to use the formula:
Power = Work / Time
In this case, the work done by the motor is equal to the weight of the object multiplied by the distance it is lifted (since work is equal to force multiplied by distance). The weight of the object can be calculated using the formula:
Weight = mass * acceleration due to gravity
Where mass is given as 315 kg and the acceleration due to gravity is approximately 9.8 m/s².
So, let's break it down step by step:
Step 1: Calculate the weight of the object.
Weight = mass * acceleration due to gravity
Weight = 315 kg * 9.8 m/s²
Step 2: Calculate the work done by the motor.
Work = Weight * distance
Work = (315 kg * 9.8 m/s²) * 12 m
Step 3: Calculate the power delivered by the motor.
Power = Work / Time
Power = (315 kg * 9.8 m/s² * 12 m) / 15 s
By plugging in the values and performing the calculations, you can find the amount of power delivered by the motor.