5. A 12 N force with a fixed orientation does work on a particle as the particle

Question

5. A 12 N force with a fixed orientation does work on a particle as the particle moves through the three dimensional displacement d-2 1-41 + 3 (m). What is the angle between the force and the displacement if the change in the particle s K.E. is (a) +30 J ,and (b) -30 J. 6. The magnitude of the force that acting on the object Fi 4 N towards the left, F2 4 N makes an angle 50° with (-Y axis), and F3 9N makes an angle 35° with (+X axis). What is the net work done on the object by the three forces during the 4 m displacement?

Explanation / Answer

(5) ans

According to the concept of the work energy and power

K. E=F*d*cos

Given that

Force F=12 N

Displacement d=2i-4j+3k=5.4 m

Now we find the angle between the force and displacement

30=12*5.4*cos

Cos=0.463

Angle =62.43°

Now we find the angle between the force and displacement

-30=12*5.4*cos

Cos=-0.463

Angle =117.6°

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