Calculate the total energy of 2.0 kg object moving horizontally at 10 m/sec 50 meters above the surface.
total energy= KE + GPE
= 1/2 m v^2 + m*g*h
To calculate the total energy of an object, we need to consider both its kinetic energy and potential energy.
1. Start by calculating the kinetic energy of the object.
The formula for kinetic energy is KE = 1/2 * m * v^2,
where KE is the kinetic energy, m is the mass of the object, and v is its velocity.
Given:
Mass (m) = 2.0 kg
Velocity (v) = 10 m/s
Substitute these values into the formula:
KE = 1/2 * 2.0 kg * (10 m/s)^2
KE = 1/2 * 2.0 kg * 100 m^2/s^2
KE = 2.0 * 100 J
KE = 200 J
So, the kinetic energy of the object is 200 Joules.
2. Next, calculate the potential energy of the object.
The formula for potential energy is PE = m * g * h,
where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height above the surface.
Given:
Mass (m) = 2.0 kg
Height (h) = 50 m (above the surface)
Acceleration due to gravity (g) = 9.8 m/s^2 (approximately)
Substitute these values into the formula:
PE = 2.0 kg * 9.8 m/s^2 * 50 m
PE = 2.0 * 9.8 * 50 J
PE = 980 J
So, the potential energy of the object is 980 Joules.
3. Finally, the total energy is the sum of the kinetic energy and potential energy.
Total energy = Kinetic energy + Potential energy
Total energy = 200 J + 980 J
Total energy = 1180 J
Therefore, the total energy of the object is 1180 Joules.