4. A small airplane of mass m must take off from a primitive airstrip that slopes upward at a slight angle O. When the pilot pulls back on the throttle, the plane's engines exert a constant forward force, F thrus. Rolling friction is not negligible on the dirt airstrip and the coefficient of rolling resistance is M.. If the plane's takeoff speed is V.'off what minimumlength must the airstrip have for the plane to get airborn?a)Assume the plane takes off uphill to the right. Draw a picture of the situation. Your picture should show the plane at the beginning and end of its motion on the airstrip, include a tilted coordinate axis, and define symbols for position, velocity, and time at the two positions shown. In addition, list all known information and state what you wish to find. F thrust, m, 0, My, and Vo off are presumed known.b) Draw a free body diagram for the plane as it moves along the airstrip. Your free body diagram should use the same coordinate system as your picture from part (a)c)Write Newton's 2nd law as two equations one for the x-axis and one for the y-axis. bstitute for all known quantities or relationships (i.e., you should know the relationship between the friction force and the normal force).d)Solve your Newton's 2nd law equations to find the acceleration of the plane along the airstrip. Is this acceleration constant?e) Write the correct one-dimensional kinematics equation and substitute known values and expressions to derive an equation for the minimum required length of the airstrip.

Force and Free Body 3. Two or more forces, shown on a free body diagram, are exerted on a 2 kg object. The units of the grid are in Newtons. For each: Draw a vector arrow on the grid, starting at the origin, to show the net force, Fret Determine the numerical values of the components dx and dy. F(N) 2 2 F(N) a F(N) 2 -2 2 F(N) 3-1-2 b. F(N) - - -- -2 2 F(N) C