Question

3. The work done by a body on application of a constant force is directly proportional to the
distance travelled by the body. Express this in the form of a linear equation in two variables and
draw graph by taking the constant as 4 units. Read from the graph the work done when the
distance travelled by the body is (1) 2 units (2) 3 units.​

Answer 1

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Linear Equations in Two Variable

Solution of Linear Equations in Two Variables

The work done by a body on ...

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Asked on January 17, 2020 by

Debayani Potnuru

The work done by a body on application of a constant force is directly proportional to the distance travelled by the body. Express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Read from the graph the work done when the distance travelled by the body is 2 units

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ANSWER

Let y-axis be work.

X-axis be distance.

Given work is proportional to distance travelled.

∴y=Kx(∵y∝x)

y is work, x is distance

work=Force×distance

Given constantwork=5units

∴y=5x

When distance=x=2units

y=10units

Answer 2

Here is Your answer

x 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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