To calculate the work done by the effort in a block and tackle system, we can apply the principle that the work done is equal to the work done against gravity plus the work done against friction.
Step 1: Calculate the work done against gravity.
The load is 400 N and it is raised through a height of 10 m. The work done against gravity (W_gravity) can be calculated using the formula:
\[ W_{\text{gravity}} = \text{Force} \times \text{Distance} = 400 , \text{N} \times 10 , \text{m} = 4000 , \text{J} \]
Step 2: Calculate the total work done against friction.
The work done against friction is given as 100 J.
Step 3: Calculate the total work done by the effort.
The total work done by the effort (W_effort) is the sum of the work done against gravity and the work done against friction:
\[ W_{\text{effort}} = W_{\text{gravity}} + W_{\text{friction}} \]
\[ W_{\text{effort}} = 4000 , \text{J} + 100 , \text{J} = 4100 , \text{J} \]
Final Result:
The work done by the effort is \( \boxed{4100 , \text{J}} \).
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