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at what position is the kinetic energy the greatest?

Question

at what position is the kinetic energy the greatest?

Explanation:

Step1: Analyze kinetic energy formula

Kinetic energy \(K = \frac{1}{2}mv^{2}\), depends on mass \(m\) and velocity \(v\).

Step2: Consider motion on slope

As object moves down slope, potential energy converts to kinetic energy. Velocity increases with descent.

Step3: Determine position with maximum velocity

Position 4 is lowest (most descent), so velocity \(v\) is maximum here.

Answer:

4