Question

A floating ice block is pushed through a displacement d = (23 m) i - (9 m) j along a straight embankment by rushing water, which exerts a force F = (200 N) i - (149 N) j on the block. How much work does the force do on the block during the displacement?

Answer 1

Answer:

Work done, W = 5941 joules

Explanation:

It is given that,

Force exerted on the block, $F=(200i-149j)\ N$

Displacement, $x=(23i-9j)\ m$

Let W is the work done by the force do on the block during the displacement. Its formula is given by :

$W=F.d$

$W=(200i-149j){\cdot} (23i-9j)$                    

Since, i.i = j.j = k.k = 1

$W=4600+1341$

W = 5941 joules

So, the work done by the force do on the block during the displacement is 5941 joules. Hence, this is the required solution.

Answer 2

Work is the energy transferred to an object by the application of force along a displacement. The work done by the force on the block during the displacement is 5941 J.

Work is the energy transferred to an object by the application of force along a displacement.

Given Here,

Displacement d = (23 m) i - (9 m) j

Force exerted on the block  F = (200 N) i - (149 N) j  

Work formula,

W = F.d

W =  (200 N) i - (149 N) j  . (23 m) i - (9 m) j

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

Hence,

W = 4600 + 1341

W = 5941 J

Hence we can conclude that the work done by the force on the block during the displacement is 5941 J.

To know more about work formula, refer to the link:

https://brainly.com/question/22116319