If the work done by a force applied on a body is directly proportional to the distance travelled
by the body, express this in the form of an equation in two variables, taking the constant force as
3 units. Also read from the graph the work done when the distance travelled by the body is –
i) 0 unit ii) 2 units
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Answer:
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Step-by-step explanation:
0 2 3
y 0 5 10
Let x units be the distance traveled by the body and y units be the work done by constant force.
According to problem, y=5x ...(1)
Now , putting the value x=0 in (1)
y=5×0=0
So, the solution is (0,0)
Putting the value x=1 in (1)
y=5×1=5
So, the solution is (1,5)
Putting the value x=2 in (1)
y=5×2=10
So, the solution is (2,10)
(i) When x=2 units (distance)
Putting the value x in (1)
y=5x
y=5×2=10.
Hence, Work done =10.
(ii) When x=0 units (distance)
Putting the value x in (1)
y=5x
y=5×0=0.
Hence, work done =0.
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