# Work and Kinetic Energy

**1. The problem statement, all variables and given/known data**

An ice block is being pushed through a displacement d→=(15m)i -(12m)j along an embankment with rushing water. It exerts F→=(210N)i -(150N)J on block. How much work on block does force do?

**2. Relevant equations**

W=Fxd

Pythogoreum equation

a^2 +b^2= c^2

**3. The attempt at a solution**

I drew i and j coordinates for both displacement vector and force vector. I calculated

d→=15^2 + 12^2= c^2

d→=c=19.21m

I used same for F→

(210N)^2 + (150N)^2 = c^2

c=258.07 N

W=Fxd

(258.07N)* (19.21m) = 4957.52 J

I think I might have set it up wrong.

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