Sliding box: a) A box of mass m slides down an inclined plane and makes an angle with the horizontal as shown in the figure. find a differential formula for the speed v(t) of the box at time t in each of the following three cases: i) No sliding friction and no air resistance. ii) With sliding friction and no air resistance. iii) With sliding friction and air resistance.

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.