300 J of work is done in sounding 2 kg block up an inclined plane of height 10m . The work done against friction is:(take g=10m/S2)
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Solution :
Given,
Workdone, W = 300J
Mass, m = 2kg
For finding weight,
w = Mass × Acceleration due to gravity
w = 2 × 10
w = 20N
Height, H = 10 m
For finding the value of work done when friction is involved.
Total Workdone = Workdone against friction(W1) + Workdone against gravity(W2).
Total Workdone = W1 + W2
=> W = W1 + W2
=> W = W1 + (w × h)
[°.° W = F × s]
where, F = w and h = s.
Here,
h means distance or displacement.
w means force or weight.
=> W = W1 + (20 × 10)
=> W = W1 + 200
=> W1 = 300 - 200
=> W1 = 100
.°. W1 = 100J
Thus, the work done against friction is 100J.
Answer: W1 = 100J
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