A force paralled to an inclined plane is used to raise a load of 500N through a height of 3M While the load moves a distance of 30M along the plane (a) How much work is done on the load ? (b)if the efficency is 80% calculate the effort (c)how much work is done by the effort
Work done on the load = l *ld
500*30= 15,000j
2. Eff= output/input*percent
80=500*3*30*100/input
Cross multiple effort = 56,250j
To calculate the work done on the load, we need to determine the force parallel to the inclined plane. Given that a force is used to raise the load through a height of 3M and the load moves a distance of 30M along the plane, we can use the work-energy principle.
(a) The work done on the load can be calculated by multiplying the force applied parallel to the inclined plane (F) by the distance moved parallel to the plane (d). So, the work done (W) is given by:
W = F * d
In this case, the force applied parallel to the inclined plane is also the force required to lift the load, which is 500N. The distance moved parallel to the plane is 30M.
W = 500N * 30M
W = 15,000 N·M (or Joules)
Therefore, the work done on the load is 15,000 Joules.
(b) Now, let's calculate the effort required, assuming an efficiency of 80%. The efficiency of a machine is given by the ratio of output work to input work.
Efficiency = (output work / input work) * 100
Here, the output work is the work done on the load (15,000 Joules), and the input work is the work done by the effort required (unknown).
Efficiency = (15,000 Joules / input work) * 100
80% = (15,000 Joules / input work) * 100
To find the input work, we rearrange the equation:
input work = (15,000 Joules / 80%) * 100
input work = (15,000 Joules / 0.8) * 100
input work = 18,750 Joules
Therefore, the effort required to achieve an efficiency of 80% is 18,750 Joules.
(c) Finally, let's determine the work done by the effort. Since the efficiency is given as 80%, we can use the equation:
Efficiency = (output work / input work) * 100
Rearranging the equation, we have:
Efficiency = (work done by the effort / input work) * 100
Plugging in the values:
80% = (work done by the effort / 18,750 Joules) * 100
To find the work done by the effort, we rearrange the equation:
work done by the effort = (80% / 100) * 18,750 Joules
work done by the effort = 0.8 * 18,750 Joules
work done by the effort = 15,000 Joules
Therefore, the work done by the effort is 15,000 Joules.