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1. An aircraft weighing 902 N is accelerated at 11.8 m/s 2 for 5 seconds, at whi

ID: 2275545 • Letter: 1

Question

1. An aircraft weighing 902 N is accelerated at 11.8 m/s2 for 5 seconds, at which time the aircraft launches. Assume the acceleration is constant. What is the force required to launch the aircraft? Hint: this is a multiple step problem in which you must derive the variables needed in Newton's equation for force.


2. An aircraft with a mass of 996 kg accelerates from 0 to 87 m/s in 6.2 seconds, at which time the aircraft launches. What is the kinetic energy of the aircraft when the aircraft launches?

Explanation / Answer

1


The force = m*a .. the acceleration is given 11.9m/s^2 but the weight is given. To calculate the mass we have m = W/g = 902N/9.8m/s^2 = 92.04kg

So F = m*a = 92.04kg*11.8m/s^2 = 1086N


2


KE = (1/2)mv^2

so, 0.5 x 996 x 87^2 = 3,769,362 J