Question

6.
If 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. Also
read from the graph the work done when the distance travelled by the body is
(i) 2 units
(ii) O unit​

Answer 1

Answer:

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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Answer 2

Answer:

Step-by-step explanation:

Let the distance traveled be x and the work done be y

Given that work done is directly proportional to the force-

We can write the equation as -

y = kx        (k is the force constant)

given the force is of 5 units

y = 5x

So the equation becomes y = 5x

Now we have to plot the graph also

So, after putting the values we get the table as-:

when x=0 then y=0

when x=1 then y=5

Now the answer of the Second Part-

1. if distance is 2 units, then work done = 5 x 2 = 10 units

2. if distance is 0 units then the work is also 0 units

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