A Boeing 747 has a mass of 400,000kg and a takeoff speed of 100m/s . It cruises at a height of 10,000m at a speed of 255m/s
Calculate the kinetic energy of the airliner at takeoff and calculate the gravitational potential energy of the airliner when cruising .
( that's the rest of the question)
Use
KE=(1/2)mv^2
GPE=mgh
where
m=mass of plane
v=velocity
h=height of plane assuming reference plane is ground level.
g=9.81 m/s²
Use consistent units.
To calculate the potential energy of the Boeing 747 at a cruising height of 10,000m, we can use the formula:
Potential Energy = mass * gravitational acceleration * height
Given that the mass of the Boeing 747 is 400,000kg and the height is 10,000m, we can substitute these values into the formula:
Potential Energy = 400,000kg * 9.8m/s^2 * 10,000m
Calculating this equation gives us:
Potential Energy = 39,200,000,000 Joules
The potential energy of the Boeing 747 at a cruising height of 10,000m is approximately 39,200,000,000 Joules.
To calculate the kinetic energy of the Boeing 747 at a cruising speed of 255m/s, we can use the formula:
Kinetic Energy = (1/2) * mass * velocity^2
Given that the mass of the Boeing 747 is 400,000kg and the velocity is 255m/s, we can substitute these values into the formula:
Kinetic Energy = (1/2) * 400,000kg * (255m/s)^2
Calculating this equation gives us:
Kinetic Energy = 10,357,500,000 Joules
The kinetic energy of the Boeing 747 at a cruising speed of 255m/s is approximately 10,357,500,000 Joules.