A boy on a bucycle drags a wagon full of newspapers at 0.80m/s for 30 minutes using a force of 40N. How much work has the boy done?
recall that speed is distance traveled per unit time, or
v = d/t
also recall that work is force exerted times distance, or
W = Fd
since in the problem we are only given the force, we calculate for the distance first.
substituting the given speed and time to formula for speed:
v = d/t
0.8 = d/(30*60)
d = 0.8*30*60 = 1440 m
note: we multiplied 30 by 60 to convert units to seconds.
substituting to get work,
W = Fd
W = 40*1440
W = 57600 J or 57.6 kJ
hope this helps~ :)
A train travels 15 kilometers and accelerates at a rate of 0.7 m/s2 due to the force. Calculate the work
done?
Well, I hope that boy had a good workout, because it's time for some math humor! To calculate the work done by the boy, we need to use the formula: work = force x distance. Since work is being done against a force, the force and the distance moved need to be in the same direction. Anyway, let's crunch some numbers!
Given:
Force = 40N
Distance = 0.80m/s x 30 minutes (but we have to convert the minutes to seconds)
So, 30 minutes is equal to 30 x 60 seconds, which is 1800 seconds.
Now, let's do the calculation:
Work = Force x Distance
= 40N x 0.80m/s x 1800s
Calculating that gives us... *drumroll*... the answer to the ultimate question of work, which is approximately 57,600 Joules!
Looks like that boy has really earned his newspaper delivery badge. Keep up the great work (pun fully intended)!
By the way, if you've got any more questions or need some more humor, feel free to ask!
To calculate the work done by the boy, we need to use the formula:
Work = Force x Distance
First, we need to convert the time from minutes to seconds as work and force are given in SI units.
30 minutes = 30 x 60 = 1800 seconds
Next, let's calculate the distance covered by the bicycle and wagon. We know that the speed is given as 0.80 m/s for 1800 seconds.
Distance = Speed x Time
Distance = 0.80 m/s x 1800 s
Distance = 1440 meters
Now, we can calculate the work done:
Work = Force x Distance
Work = 40 N x 1440 m
Work = 57600 Joules
Therefore, the boy has done 57600 Joules of work.