Question

An ice block floating in a river is pushed through a displacement d with arrow = (13 m)i hat − (13 m)j along a straight embankment by rushing water, which exerts a force F with arrow = (230 N)i hat − (140 N)j on the block. How much work does the force do on the block during the displacement?

Answer 1

Work done, W = 4810 Joules

Step-by-step explanation:

Given that,

Force acting on the block,
`F=(230i-140j)\ N`

Displacement in water,
`d=(13i-13j)\ m`

To find,

Work does the force do on the block during the displacement.

Solution,

Let W is the work done by the force on the block. We know that the expression for the work done is given by :

`W=F.d`

`W=(230i-140j).(13i-13j)`

We know that,

i.i = j.j = k.k = 1

W = 2990 + 1820

W = 4810 Joules

So, the work done by the force on the block during the displacement is 4810 Joules.