Answer:
The work done by the non-conservative force is 491.43 J
Explanation:
You have to apply the Work-Energy Theorem for mechanical energy, which is:
W non-conservative force = ΔEm
Where ΔEm is the variation of mechanical energy between two points of the movement.
ΔEm= Emf-Emi
Emf: Final mechanical energy
Emi: Initial mechanical energy
Also, the mechanical energy is:
Em= Ep+Ek
Where Ep is the potential energy and Ek is the kinetic energy.
In this case, the potential energy is gravitational, due to the change in the height.
Ep= mgh (m is the mass, g the acceleration of gravity and h is the height)
Ek= 0.5mv² (m is the mass, v is the speed)
Wncf = Epf+Ekf - (Epi+Eki)
The initial mechanical energy is:
Emi= mgh + 0.5mvi²
Replacing the values of m, g, h and vi:
Emi= (41.4)(9.8)(2.91) + 0.5(41.4)(1.22)²
Emi=1211.45 J
The final mechanical energy is:
Emf = Ekf
There isn't potential energy because at the bottom of the wave the height is zero.
Emf= 0.5mvf²
Replacing m=41.4 kg and vf=9.07 m/s
Emf = 0.5(41.4)(9.07)²
Emf=1702.88 J
Therefore:
Wncf = 1702.88 - 1211.45 = 491.43 J