## AaronAndyson one year ago 6.4kJ of energy causes a displacement of 64m in a body in the direction of force in 2.5s.Calculate 1.The force applied. 2.Power in HP. Take 1 HP = 746W

1. AaronAndyson

@Abhisar @TorilovesVampires

2. TorilovesVampires

W = K.E = 6.4 kJ = 6.4 x 103 J W = F.d. cos θ Now the displacement of the body is in the direction of applied force. θ = 0 W = F.d F = W/d = (6.4 x 103 J)/64 m F = 100 N Power P = W/t = (6.4 x 103 J)/(2.5) =16 x 103 W =1.6 x 104 W = (1.6 x 104) / 746 = 0.0021 x 104 H.P. Power P = 21 H.P.

3. AaronAndyson

???

4. Abhisar

Yo, wassup?

5. AaronAndyson

I'm confused. Shouldn't the F be 10.3?

6. Abhisar

Work = Force x Displacement and this work done will be equal to energy supplied, Right?

7. AaronAndyson

Yes.

8. Abhisar

Let the applied force be F, then 6400 = F x 64. Now you can calculate the force.

9. AaronAndyson

100N

10. Abhisar

You got it ;)

11. AaronAndyson

And the P?

12. Abhisar

$$\sf Power = \frac{Work/Energy}{Time}$$ You know the work, you know the time. Just plug in the values and find power.

13. AaronAndyson

64000/25?

14. AaronAndyson

2560 W?

15. Abhisar

6.4 KJ = 6400 J

16. Abhisar

Power = 6400/25

17. AaronAndyson

Time is 2.5 s not 25s

18. Abhisar

Right, then it's correct!

19. Abhisar

Finally, convert the power into HP. 1 HP =746 Watts.

20. AaronAndyson

3.43?

21. Abhisar

That's right!

22. AaronAndyson

Thanks @Abhisar and @TorilovesVampires both.

23. Abhisar

pleasure is all mine c: