Question

Consider a situation where a constant force of 25 N acts on an object having a mass of 2 kg for 3 seconds. What is the work done by the force

Answer 1

The work done by the force is 75 Joules (J).

Step-by-step explanation:

The work done by a force can be calculated using the formula:

work = force × distance

In this case, the force is 25 N and the distance is 3 meters. Substituting these values into the formula, we get:

work = 25 N × 3 m = 75 N·m = 75 J

Therefore, the work done by the force is 75 Joules (J).

Answer 2

Work done W =1406.25 J

Step-by-step explanation:

Work done on a body can be calculated using newton's 2nd laws:

F=ma

`\Rightarrow a=(F)/(m)`

Hence acceleration of the block is given by:

`\Rightarrow a=(25)/(2)=12.5m/s^2`

Displacement of the object is given by:

`\Rightarrow S=ut+(1)/(2)at^2`

Substitute the values

`\Rightarrow S=0*3+(1)/(2)(12.5)3^2`

`\Rightarrow S=56.25 m`

Now work done is given by:

W=F.S

W = 25×56.25

W =1406.25 J