Question

A particle is displaced from `A=(2,2,4)` to `B=(5, -3,-1)` . A constant force of `34N` acts in the direction of `vec(AP)`. Where `P=(10,2,-11)`. (Coordinates are in m).
(i) Find the `(vec(F))` .
(ii) Find the work done by the force to cause a displacement.

Answer 1

Correct Answer - `16hat(i)-30hat(k),198J`
`vec(AP)=vec(OP)-vec(OA)`
`(10hat(i)+2hat(j)-11hat(k)) -(2hat(i)+2hat(j)-4hat(k))`
`vec(AP)=8hat(i)+10hat(j)-15hat(k)`
`|vec(AP)|=sqrt(8^(2)+15^(2))=17`
`vec(F)=|vec(F)|hat(AP)`
`=34((8hat(c)-15vec(k))/(17))`
`vec(F)=16hat(i)-30hat(k)N`