The position of a particle of mass m moving freely in two dimensions in an inertial cartesian coordi- nate system is given by (xy). write down the particle's kinetic energy t(xý) and the equations of mo- tion. generalized coordinates qi (x, y, t) and q2 (x, y, r) are defined by 4-xcosot + ysinar -xsin cot + ycosot where co is a constant. write down the inverse transformations, x(1.42,t) and y(g1.9) and hence find an expression for t(4,.iz) in the new coordinates. obtain the equations of motion in the new coordi- nates (including the generalized forces qi and q2). identify the extra terms that appear, in terms of so- called "fictitious forces".

1134567 a jet with mass m = 1.1 ă— 105 kg jet accelerates down the runway for takeoff at 2 m/s2. 1) what is the net horizontal force on the airplane as it accelerates for takeoff? 2.2*10^5 n your submissions: 2.2*10^5 computed value: 220000submitted: saturday, january 26 at 2: 41 pm feedback: correct! 2) what is the net vertical force on the airplane as it accelerates for takeoff? 0 n your submissions: 0 computed value: 0submitted: saturday, january 26 at 2: 41 pm feedback: correct! 3) once off the ground, the plane climbs upward for 20 seconds. during this time, the vertical speed increases from zero to 21 m/s, while the horizontal speed increases from 80 m/s to 95 m/s. what is the net horizontal force on the airplane as it climbs upward? n 4) what is the net vertical force on the airplane as it climbs upward? n 5) after reaching cruising altitude, the plane levels off, keeping the horizontal speed constant, but smoothly reducing the vertical speed to zero, in 13 seconds. what is the net horizontal force on the airplane as it levels off? n 6) what is the net vertical force on the airplane as it levels off?

Debbie places two shopping carts in a cart corral she pushes the first cart which then pushes a second cart what force is being exerted

Which of these is the best way to manage a natural resource