A cart is released from rest at the top of a hill and rolls to the bottom. In the absence of friction and air drag, the cart will have the highest kinetic energy at the

Rationale

bottom of the hill

As the cart rolls down the hill, it converts gravitational potential energy into kinetic energy. At the bottom, all the potential energy has been transformed into kinetic energy, resulting in the highest speed and thus the maximum kinetic energy.

A (top of the hill) YOUR ANSWER

At the top of the hill, the cart has maximum potential energy and zero kinetic energy since it is initially at rest. Therefore, it cannot have the highest kinetic energy at this point, as there is no motion.

B (just below the top of the hill) YOUR ANSWER

Just below the top of the hill, the cart will have started to convert some of its potential energy into kinetic energy, but it will still possess significant potential energy. Thus, the kinetic energy would not be at its maximum until the cart reaches the bottom.

C (midpoint of the hill) YOUR ANSWER

At the midpoint of the hill, the cart has converted some of its potential energy into kinetic energy, but not all of it. The cart's kinetic energy would be greater than at the top but still less than at the bottom, where all potential energy has been converted.

D (bottom of the hill) CORRECT

At the bottom of the hill, the cart has converted all its initial potential energy into kinetic energy, reaching its maximum speed. This results in the highest kinetic energy, as there is no remaining potential energy.

Conclusion

The conversion of gravitational potential energy into kinetic energy means that as the cart descends, its speed—and therefore its kinetic energy—increases. The bottom of the hill is where this transformation is complete, resulting in maximum kinetic energy. Understanding this principle is fundamental in physics, particularly in energy conservation and motion dynamics.

A cart is released from rest at the top of a hill and rolls to the bottom. In the absence of friction and air drag, the cart will have the highest kinetic energy at the

bottom of the hill

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