A12.0n force with a fixed orientation does work on a
particleas the particle moves through displacement d=(2.00i -4.00j
+3.00k)m. what is the angle between the force and thedisplacement
if the change in the particle's kinetic energy is a)+30.0j and b)
-30.0j ?

(a)

(b)

Explanation:

It is given that,

Force acting on the particle, F = 12 N

Displacement of the particle,

Magnitude of displacement,

(a) If the change in the kinetic energy of the particle is +30 J. The work done by the particle is given by :

is the angle between force and the displacement

According to work energy theorem, the charge in kinetic energy of the particle is equal to the work done.

So,

(b) If the change in the kinetic energy of the particle is (-30) J. The work done by the particle is given by :

Hence, this is the required solution.

the answer is b

explanation:

it is very well related to a lot of things but with my limited knowledge i can confidently say that the answer is space.