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Work done by a body on the application of a constant force is directly proportional to the distance travelled by the body in a straight line. Express the statement as a linear equation in two variables by taking the constant force as 4 units. What will be the work done when the distance travelled is 2 units?

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8 units

7 units

4 units

2 units

answer is A.

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Detailed Solution

Given that, constant force is 4 units and distance travelled is 2 units.
As we know, work done = force

\times

distance.
Therefore, let work done be y and the distance travelled by the body be x.
Thus, according to the question,

y = kx

. (Where, k = 4(given))
Therefore, the equation becomes

y = 4 x

.
Now, according to the question, if the distance travelled by the body is 2 units, i.e., x = 2.
Then the work done by the body is,

y = 4 x

= 4 \times 2

= 8

Therefore, the work done by the body is 8 units.
Hence, option 1) is correct.

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