Question

2. Can it be said that, when two vectors are at right angles to each other, the resultant Force is greater than either of the vectors separately? Horizontal forces of 3 N and 4 N act at right angles on a block of mass 5 kg. Show that the resulting acceleration is 1 m/s2 3. 4. An airplane with an airspeed of 120 km/h encounters a 90 km/h crosswind. Show that the plane's groundspeed is 150 km/h.

Answer 1

Firstly, calculate the net force F_N = squareroot (3)^2 + (4)^2 = squareroot 25 = 5 N F = ma 5N = 5 kg times (a) a = 1 m/sec^2 (4) Let us represent the given situation in a diagram v_rus = squareroot v_plane^2 + v_^2 = squareroot (120)^2 + (90)^2 = 150 km/hr So, the ground speed of Air plane is 150 km/hr.