Which of the following would allow for the highest potential energy in a sled at the top of a hill?

Making the sled lighter
Making the sled heavier
Making the hill less steep
Releasing the sled from a lower point on the hill

1 answer

To maximize the potential energy of a sled at the top of a hill, you should focus on increasing both its height and its mass. The potential energy (PE) of an object is given by the formula:

\[ PE = mgh \]

where:

  • \( m \) is the mass of the object,
  • \( g \) is the acceleration due to gravity (approximately 9.81 m/s² on the surface of the Earth),
  • \( h \) is the height of the object above a reference point.

From the options provided:

  1. Making the sled lighter - This would decrease the mass \( m \), which would decrease potential energy.
  2. Making the sled heavier - This would increase the mass \( m \), thus increasing potential energy.
  3. Making the hill less steep - This might reduce the height \( h \) at which the sled is placed, thus decreasing potential energy unless the height remains the same.
  4. Releasing the sled from a lower point on the hill - This would decrease the height \( h \), and therefore decrease potential energy.

Thus, the best option for maximizing potential energy is:

Making the sled heavier.