Your motorbike breaks down five Km from your home. You use 400 N for the entire 60 minutes that it takes you to push this motorbike home. How powerful were you? How many Watts?
Choose the best answer from the options below:
A 6.67 W
B 0.111 W
C 0.150 W
D 400 W
E 25 KW
To calculate power, we use the formula:
Power = Work / Time
In this case, the force (400 N) is applied for a distance of 5 km = 5000 m. The work done can be calculated as:
Work = Force × Distance = 400 N × 5000 m = 2000000 Nm
Converting 60 minutes to seconds:
Time = 60 minutes × 60 seconds/minute = 3600 seconds
Now we can calculate power:
Power = 2000000 Nm / 3600 s ≈ 555.56 W
Therefore, the correct answer is not provided in the given options.
To determine how powerful you were in pushing the motorbike, you can use the formula:
Power = Work / Time
The work done in this case can be calculated by multiplying the force applied (in Newtons) by the distance covered (in meters):
Work = Force * Distance
Given that the force applied is 400 N and the distance covered is 5 km (which is equivalent to 5000 meters), we can substitute these values into the equation:
Work = 400 N * 5000 m = 2,000,000 N⋅m
Now, let's find the power in Watts by dividing the work done by the time taken in seconds:
Power = Work / Time
Since the time taken is 60 minutes (which is equivalent to 3600 seconds), we can substitute these values into the equation:
Power = 2,000,000 N⋅m / 3600 s
Calculating this gives us:
Power = 555.56 W (rounded to two decimal places)
Therefore, the correct answer is not listed. However, the closest option would be:
B) 0.111 W