Question

WILL MARK AS BRAINLIEST...,.. A constant force vector f =2i cap+3j cap-5k cap acts on a particle and displaces it from (1,2,-3) m to (2,5,-1) m. find the work done by the force .

Answer 1

Explanation:

Given that,

Force, $F=2i+3j-5k$

The particle displaces from (1,2,-3) m to (2,5,-1) m.

We need to find the work done by the force. Work done by the force is given by :

W = Fd

It is equal to the dot product of force and displacement.

Displacement from (1,2,-3) m to (2,5,-1) m is (2-1, 5-2, -1-(-3)) or (1, 3, 2) m

Work done,

$W=F{\cdot} d\\\\W=(2i+3j-5k){\cdot} (i+3j+2k)$

We know that, i.i=j.j=k.k=1

So,

$W=1\ J$

So, the work done by the force is 1 J.