Calculate the final velocity of the box after it reaches point C
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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This problem requires using the Work-Energy Theorem, which states that the work done by non-conservative forces ($W_{nc}$) equals the change in mechanical energy ($\Delta E$).
$$ W_{nc} = \Delta E = E_{final} - E_{initial} $$
Where mechanical energy $E = KE + PE = \frac{1}{2}mv^2 + mgh$.
From the previous steps and the diagram:
• Mass of the box $m = 30 \text{ kg}$.
• Acceleration due to gravity $g = 9.8 \text{ m/s}^2$.
• At point A: $h_A = 5 \text{ m}$, $v_
