Question

1. Yall watch out: Wellington Wildcat just got a jetpack. If Wellington, the jetpack, and his uncontrollable excitement have a total mass m and the jetpack can provide a constant thrust force of Faus 5 pts each] A. Determine an expression for Wellington's speed at a height h if the soaring mascot launched completely vertically (neglecting air resistance). Don't forget to draw a free-body diagram with an appropriate coordinate system. Your expression for v, should depend on Fu dh. B. What happens to v, in the limit Fthnsı → mg? What happens if Ftrug < mg? C. What is v, if Fbrust 2mg?

Answer 1

(a) From newton's second law, ma = F_th - mg a = F_th - mg/m using Eqn v^2 = u^2 + 2aS and Knowing that u = 0, S = h, a = F_th - mg/m \r\n we get v^2 = 0 + 2(F_th - mg/m) times h v = squareroot 2(F_th - mg)h/m \r\n If F_th rightarrow mg, V_f = 0. The maswt will not be able to fly. In case if he has an intial velocity then he will fly with that velocity uniformly If F_th < mg and maswt is in the air then be will fall downward and V_f will be negative. If he is already in ground, he will be unable to fly. (c) If F_th = 2 mg then V_f -= squareroot 2(2mg - mg) h/m = squareroot 2 times mg h/m = squareroot 2gh