(a) At what speed (in m/s) would a 2.37 10^4 kg airplane have to fly to have a m

Question

(a) At what speed (in m/s) would a 2.37 10^4 kg airplane have to fly to have a momentum of 2.21 10^9 kg · m/s (similar to the momentum of a large moving ship)?

________m/s

(b) What is the plane's momentum (in kg · m/s) when it is taking off at a speed of 62.3 m/s?

__________kg · m/s

(c) If the ship is an aircraft carrier that launches these airplanes with a catapult, discuss the implications of your answer to (b) as it relates to recoil effects of the catapult on the ship.

____Since the momentum of the airplane is much smaller than that of the ship, the ship will experience a significant recoil effect from the catapult.

____Since the momentum of the airplane is much smaller than that of the ship, the ship will not experience a significant recoil effect from the catapult.

____Since the momentum of the airplane is much larger than that of the ship, the ship will experience a significant recoil effect from the catapult.

____Since the momentum of the airplane is much larger than that of the ship, the ship will not experience a significant recoil effect from the catapult.

Explanation / Answer

a) v = p/m = 2.21 x 109/(2.37 x 104) = 93248.945 m/s

b) p = mv = 2.37 x 104 x 62.3 = 1.47651 x 106 kgm/s

c) Since the momentum of the airplane is much smaller than that of the ship, the ship will not experience a significant recoil effect from the catapult.

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