a horse pull a barge with a force at an angle of 30¡ã to the horizontal for a distance of 20km . find the work done.
You need to know the magnitude of the pulling force. If mass and coef of friction are given and the velocity is constant then it is
horizontal force = F cos 30 = m g (mu-sin 30)
W = F cos 30 * 20*10^3 J
To find the work done, we need to use the formula:
Work = Force x Distance x Cos(angle)
In this case, the force applied by the horse is given at an angle of 30 degrees to the horizontal. The distance covered by the horse is 20 km.
So, let's calculate:
1. Convert the angle from degrees to radians: 30 degrees * (π/180) = 0.5236 radians (approximately).
2. Cosine of the angle: Cos(0.5236) = 0.8660
3. Now, substitute the values into the work formula: Work = Force x Distance x Cos(angle)
We don't have the exact force value, so let's assume it's F Newtons.
Work = F * 20 km * 0.8660
4. Finally, we can't find the exact value of work without the force value. If you have the force value, substitute it in the equation to calculate the work done.