a sled and rider with a combined weight of 60kg are at rest on top of a hill 12m high.what is the total energy at the top of the hill?
Gravitational potential energy= mass*g*height.
g is 9.8N/kg
To calculate the total energy at the top of the hill, we need to consider two forms of energy: potential energy and kinetic energy.
1. Potential Energy (PE): Potential energy is the energy an object possesses due to its position relative to other objects. In this case, the potential energy is due to the height of the sled and rider above the ground.
The formula to calculate potential energy is:
PE = m * g * h
where:
- m is the mass of the sled and rider (combined weight) = 60 kg.
- g is the acceleration due to gravity = 9.8 m/s^2.
- h is the height of the hill = 12 m.
PE = 60 kg * 9.8 m/s^2 * 12 m
PE = 7056 Joules
2. Kinetic Energy (KE): Kinetic energy is the energy an object possesses due to its motion. At the top of the hill, the sled and rider are at rest, so their kinetic energy is zero.
Total Energy = PE + KE
Total Energy = 7056 Joules + 0 Joules
Total Energy = 7056 Joules
Therefore, the total energy at the top of the hill is 7056 Joules.
To determine the total energy at the top of the hill, we need to consider both potential energy and kinetic energy.
Potential energy (PE) is given by the formula: PE = mgh, where m is the mass, g is the acceleration due to gravity (approximated as 9.8 m/s^2), and h is the height.
Kinetic energy (KE) is given by the formula: KE = (1/2)mv^2, where m is the mass and v is the velocity.
Since the sled and rider are at rest at the top of the hill, their initial velocity is zero, so the kinetic energy is zero.
So, we only need to calculate the potential energy.
Given:
- Mass (m) of the sled and rider = 60 kg
- Height (h) of the hill = 12 m
- Acceleration due to gravity (g) = 9.8 m/s^2
Using the formula for potential energy:
PE = mgh
PE = 60 kg * 9.8 m/s^2 * 12 m
PE = 7056 J
Therefore, the total energy at the top of the hill is 7056 Joules (J).