Problem 2. Accelerating airplane. Relevant learning goals: Apply Newton's 2nd Law for objects that are accelerating in 2D Subskills: 1, 2 A commercial airplane is cruising in level flight at a constant speed, where the thrust is balanced by the drag (air resistance) and where the lift from the wings is balanced by gravity. The maximum thrust of the engines is 260 kN, but the current thrust is 60% of the maximum thrust. The mass of the plane is 75,000 kg. Remember to draw a diagram, show your work symbolically, and give your final answers in SI units. (a) What is the maximum acceleration the plane can achieve if the pilot suddenly increases the thrust to the maximum value? The drag will increase as the plane speeds up, but for the first instant of increased thrust, the drag will be the same as it was during cruising. (b) Now the pilot wants to increase the altitude while maintaining constant speed. The plane pitches upward by an angle 0. What is the steepest angle the plane can climb? To simplify the problem, assume that the lift force is still perpendicular to the wings and reduced in magnitude so that the plane flies at a constant speed in the direction it is pointing.ss 737