700 kg plane is traveling at 90 m/s at altitude of 1500 m what is planes total mechanical energy
To calculate the total mechanical energy of the plane, we need to consider its kinetic energy and potential energy.
1. Kinetic Energy:
The kinetic energy of an object can be calculated using the formula:
KE = (1/2) * mass * velocity^2
Given:
Mass of the plane (m) = 700 kg
Velocity (v) = 90 m/s
Substituting the values into the formula, we get:
KE = (1/2) * 700 kg * (90 m/s)^2
Calculating this, we get the value of the kinetic energy (KE).
2. Potential Energy:
The potential energy of an object at a certain height can be calculated using the formula:
PE = mass * gravity * height
Given:
Height (h) = 1500 m
Mass of the plane (m) = 700 kg
Gravity (g) = 9.8 m/s^2 (approximate value on the surface of the Earth)
Substituting the values into the formula, we get:
PE = 700 kg * 9.8 m/s^2 * 1500 m
Calculating this, we get the value of the potential energy (PE).
3. Total Mechanical Energy:
The total mechanical energy of an object is the sum of its kinetic energy and potential energy, given by:
Total Mechanical Energy = KE + PE
Substituting the calculated values of KE and PE, we can find the total mechanical energy of the plane.