A block and tackle having velocity ratio of 5 is used to raise load of 400N through a height of 10m.If the work done by friction is 1000j.calculate the work done by the effort
If there were no friction the work required is m g h = 400 *10
= 4,000 Joules
if you burn off 1,000 Joules as friction, then you need 5,000 Joules.
It does not matter what the mechanical advantage is, less force needs bigger distance pulled but same old work = force * distance.
V.R =5, Load= 400N, h=10m, workdone by friction=1000J
Work output(workdone by the load)=400×10=4000J
Work input= Work Output + Workdone by friction
4000J + 1000J= 5000J
To calculate the work done by the effort, we first need to find the work done against gravity and the work done against friction. Then, we can calculate the total work done by adding these two values together.
Given information:
Velocity ratio = 5
Load = 400 N
Height = 10 m
Work done by friction = 1000 J
Step 1: Calculate the work done against gravity.
We can calculate the force applied by the effort by dividing the load by the velocity ratio.
Effort = Load / Velocity ratio
= 400 N / 5
= 80 N
Now, we can calculate the work done against gravity using the formula:
Work done against gravity = Force x Distance
= Load x Height
= 400 N x 10 m
= 4000 J
Step 2: Calculate the work done against friction.
The work done by friction is given as 1000 J.
Step 3: Calculate the work done by the effort.
The total work done by the effort can be calculated by adding the work done against gravity and the work done against friction.
Work done by the effort = Work done against gravity + Work done against friction
= 4000 J + 1000 J
= 5000 J
Therefore, the work done by the effort is 5000 J.
To calculate the work done by the effort, we need to use the equation: Work = Force * Distance.
First, let's calculate the force applied by the effort in raising the load. The force exerted by the effort is equal to the load divided by the velocity ratio. In this case, the velocity ratio is given as 5, so the force exerted by the effort is:
Force = Load / Velocity Ratio
Force = 400N / 5
Force = 80N
Next, we need to calculate the distance over which the force is applied. The distance in this case is the height through which the load is raised, which is given as 10 meters.
Now we can calculate the work done by the effort:
Work = Force * Distance
Work = 80N * 10m
Work = 800 Joules
Therefore, the work done by the effort is 800 Joules.