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A puck is released on an air table inclined by 0.1rd with respect to horizontal. By applying the...

Question:

A puck is released on an air table inclined by 0.1rd with respect to horizontal. By applying the principle of conservation of the mechanical energy of the system , calculate the velocity of the puck after 40 cm journey along a line of greatest slope.

Energy Conservation Principle:

The energy conservation principle consists of a physical law that states that if no external forces act on the system, the total energy of the system should conserve. Energy transformations may be present, but the overall total energy of the system will remain the same. The total energy of a system can be determined by the sum of the total kinetic and potential energy of the system.

$$E_t=K_e+U_e\\ E_t=0.5mv^2+mgh $$

Answer and Explanation:

As the problem asks us to find the velocity using energy conservation mechanics, we can say that the decrease in the potential energy of the system will be equal to the increase in kinetic energy.

{eq}U_e=K_e\\ mgh=\frac{1}{2}mv^2\\ gh=0.5v^2\\ v=\sqrt{2gh}\\ v=\sqrt{2gd\sin(0.1\ rad)}\\ v=\sqrt{2\times9.8\times0.4\sin(0.1\ rad)}\\ v=0.782\ m/s {/eq}


Learn more about this topic:

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Energy Conservation and Energy Efficiency: Examples and Differences

from Geography 101: Human & Cultural Geography

Chapter 13 / Lesson 9
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