A machine with v.r requires 1000J of work to raise a load of 500N through a vertical distance of 1.7m . find the efficiency and m.a of the machine.
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What is the answers to this questions
To find the efficiency and mechanical advantage (M.A) of the machine, we need to first understand the formulas for these concepts.
Efficiency (η) is the ratio of the useful work output to the total work input, expressed as a percentage:
η = (Useful work output / Total work input) * 100
Mechanical Advantage (M.A) is the ratio of the output force to the input force:
M.A = Output Force / Input Force
Let's calculate each of these in steps.
Step 1: Calculate the work done.
Work (W) is calculated by multiplying the force (F) applied by the distance (d) moved in the direction of the force.
W = F * d
Given:
Force (F) = 500N
Distance (d) = 1.7m
W = 500N * 1.7m
W = 850J
Step 2: Calculate the efficiency.
We know that the work input is 1000J. The useful work output is 850J (as calculated in Step 1).
Using the formula η = (Useful work output / Total work input) * 100, we can calculate the efficiency.
η = (850J / 1000J) * 100
η ≈ 85%
Therefore, the efficiency of the machine is approximately 85%.
Step 3: Calculate the mechanical advantage.
We know the output force is 500N, and the input force is not given. Therefore, we can't calculate the exact mechanical advantage of the machine. However, we can determine the ratio of the output force to the input force.
M.A = Output Force / Input Force
M.A = 500N / Input Force
Since the input force is unknown, we can't give a specific value for the mechanical advantage. However, we can say that the mechanical advantage is 500N/Input Force.
To summarize:
The efficiency of the machine is approximately 85%.
The mechanical advantage is 500N/Input Force (where the input force is unknown).