Calculate the total energy of 2.0 kg object moving horizontally at 10 m/s 50meters above the surface.
To calculate the total energy of the object, we need to consider both its kinetic energy and its potential energy.
1. Kinetic Energy:
The formula for kinetic energy is given by:
KE = 0.5 * m * v^2
Where:
KE = Kinetic Energy
m = mass of the object
v = velocity of the object
In this case, the mass of the object is given as 2.0 kg, and the velocity is given as 10 m/s. Plugging these values into the formula:
KE = 0.5 * 2.0 kg * (10 m/s)^2
KE = 0.5 * 2.0 kg * 100 m^2/s^2
KE = 100 J
Therefore, the kinetic energy of the object is 100 J.
2. Potential Energy:
The formula for potential energy is given by:
PE = m * g * h
Where:
PE = Potential Energy
m = mass of the object
g = acceleration due to gravity (approximately 9.8 m/s^2)
h = height above the reference point (in this case, the surface)
In this case, the mass of the object is given as 2.0 kg, the acceleration due to gravity is approximately 9.8 m/s^2, and the height above the surface is given as 50 meters. Plugging these values into the formula:
PE = 2.0 kg * 9.8 m/s^2 * 50 m
PE = 980 J
Therefore, the potential energy of the object is 980 J.
3. Total Energy:
To find the total energy, simply add the kinetic energy and the potential energy.
Total Energy = Kinetic Energy + Potential Energy
Total Energy = 100 J + 980 J
Total Energy = 1080 J
Therefore, the total energy of the object is 1080 J.