calculate the total energy of a 2-kg object moving at 10m/sec 50meters above the surface.
On Earth?
"total energy"= KE + gravitationalPE
= 1/2 m v^2 + m g h
To calculate the total energy of an object, we need to consider its kinetic energy and potential energy.
1. Kinetic Energy (KE):
The kinetic energy of an object is given by the equation: KE = 1/2 * mass * velocity^2
In this case, the mass is 2 kg and the velocity is 10 m/s.
Substitute these values into the equation: KE = 1/2 * 2 kg * (10 m/s)^2
Simplify the equation: KE = 1/2 * 2 kg * 100 m/s^2
Calculate: KE = 1/2 * 200 kg*m^2/s^2
Therefore, the kinetic energy of the object is 100 Joules (J).
2. Potential Energy (PE):
The potential energy of an object at a certain height is given by the equation: PE = mass * gravity * height
In this case, the mass is 2 kg, the height is 50 m, and the acceleration due to gravity is approximately 9.8 m/s^2 (near the Earth's surface).
Substitute these values into the equation: PE = 2 kg * 9.8 m/s^2 * 50 m
Calculate: PE = 980 Joules (J)
3. Total Energy:
The total energy is the sum of the kinetic energy and potential energy: Total Energy = KE + PE
Substitute the values: Total Energy = 100 J + 980 J
Calculate: Total Energy = 1080 Joules (J)
Therefore, the total energy of the 2-kg object moving at 10 m/s, 50 meters above the surface is 1080 Joules.