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Calculate the final velocity of the box after it reaches point C

Physics

ScanSolve AI Answer

This problem requires using the Work-Energy Theorem, which states that the work done by non-conservative forces (WncW_{nc}) equals the change in mechanical energy (ΔE\Delta E).

Wnc=ΔE=Efinal−EinitialW_{nc} = \Delta E = E_{final} - E_{initial}

Where mechanical energy E=KE+PE=12mv2+mghE = KE + PE = \frac{1}{2}mv^2 + mgh.

From the previous steps and the diagram:

  • Mass of the box m=30 kgm = 30 \text{ kg}.
  • Acceleration due to gravity g=9.8 m/s2g = 9.8 \text{ m/s}^2.
  • At point A: hA=5 mh_A = 5 \text{ m}, $v_
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