Atypical loaded commercial jet airplane has an inertia of 2.1 × 105 kg (a) which do you expect to require more energy: getting the plane up to cruising speed or getting it up to cruising altitude? will one be a lot more than the other or will they be comparable? (b) how much energy does it take to get the plane to a cruising speed of 270 m/s? (c) how much energy does it take to get the plane to a cruising altitude of 10.4 km? [ignore dissipation.]

(a) It depends on what cruising speed and cruising altitude

(b)

(c)

Explanation:

Formula for Kinetic energy:

Formula for Potential energy

(a) It actually depends on cruising speed and cruising altitude to tell which one requires more energy. However, cruising speed would have more impact than cruising altitude because it has a power of 2 in the energy formula.

(b) If we plug in v = 270 and m = 210000 to the Kinetic energy formula we should have

(c) If we plug in h = 10.4 km = 10400 m, m = 210000 and g = 9.81 we should have

see earlier