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.]
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Ответ:
(a) It depends on what cruising speed and cruising altitude
(b)![7654.5 * 10^6 (J)](/tpl/images/0354/0072/00b5c.png)
(c)![21425.04 * 10^6 (J)](/tpl/images/0354/0072/402f8.png)
Explanation:
Formula for Kinetic energy:![E_k = \frac{mv^2}{2}](/tpl/images/0354/0072/e9df5.png)
Formula for Potential energy![E_p = mgh](/tpl/images/0354/0072/499e6.png)
(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
Ответ: