compute for the power while pushing an object by a 200N force making 18 degrees above the horizontal covering a distance of 7.5m in 0.5 minute?
To compute for the power while pushing an object, you need to use the formula:
Power = (Work) / (Time)
To calculate the work done, you can use the formula:
Work = Force * Distance * cos(angle)
where:
Force = 200 N (given)
Distance = 7.5 m (given)
Angle = 18 degrees (given)
First, we need to convert the angle from degrees to radians:
Angle (in radians) = Angle (in degrees) * π / 180
18 degrees = 18 * π / 180
Now, we can substitute the given values into the work formula:
Work = 200 N * 7.5 m * cos(18 * π / 180)
Next, let's calculate the work:
Work = 200 N * 7.5 m * cos(0.314)
Now, we need to calculate the time in seconds:
Time = 0.5 minute * 60 seconds/1 minute
Now, we can calculate the power:
Power = Work / Time
Substitute the calculated values into the power formula:
Power = (200 N * 7.5 m * cos(0.314)) / (0.5 minute * 60 seconds/1 minute)
Now, simplify and calculate the power:
Power = (200 N * 7.5 m * 0.951) / (0.5 * 60)
Power = 19,245 Watts
Therefore, the power while pushing the object is 19,245 Watts.