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Work done by a body on the application of a constant force is directly proportional to the distance covered by the body. The constant force is given as 5 units.

Which of the following is the correct equation in two variables that represent the above condition and also using the graph of the equation, what is the work done by the body when the distance traveled by the body is 0 unit? (Take distance traveled as $x unit$ and work done as $y unit$ )

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x + y = 5

;

y = 10

y = 5 x

;

y = 0

x = 5 y

;

y = 10

None of the above

answer is B.

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Detailed Solution

According to the question, work done is directly proportional to the distance traveled.
Let’s assume work done =

y unit .

Distance traveled =

x unit .

Therefore, we have,

y ∝ x

⇒ y = m x

, where m is a proportionality constant.
The constant force is given as 5 units, i.e.

m = 5 units .

Thus,

y = 5 x .

Substitute values of

x

to find

y .

Plotting points on the graph, we have,
Question Image

Thus, by observing the graph, when the distance traveled is 0 unit then work done is 0, i.e., when

x = 0

then

y = 0.

Hence, the equation is

y = 5 x

and

y = 0

when x=0.
So, option (2) is correct.

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