A catapult 100 m long launches a 3.0 x 10^4 kg jet from the deck of a carrier. Starting at rest, the plane takes off with a speed of 80 m/s. Find: a)The acceleration, b) the average force, c) the work done, d) time to accelerate , e) the power developed.
a. a = (V^2-Vo^2)/2d.
a = (6400-0)/200 = 32 m/s^2.
b. F = m*a = 30,000 * 32 = 960,000 N.
c. W = F*d = 9.6*10^5 * 10^2=9.6*10^7 J.
d. t = (V-V0)/a = (80-0)/32 = 2.5 s.
e. P=W/t=9.6*10^7J./2.5s=3.84*10^7 J/s.