Two horizontal forces, Fi and F2, are acting on a nction between the box ollowin

Question

Two horizontal forces, Fi and F2, are acting on a nction between the box ollowing s shown in the drawing. F2 can point either to the right or to the left. The box moves only along the x axis. There is no and the surface. Suppose that Fi·+20 N and the mass of the box is 4.4 kg. Find the magnitude and direction of F2 when the (a) Find the magnitude and direction of F2 when the acceleration of the box is +7.4 m/s?. (Indicate the direction of the force by the sign of your answers.) F2-16 28N (b) Find the magnitude and direction of F2 when the acceleration of the box is -7.4 m/s2. (Indicate the direction of the force by the sign of your answers.) (c) Find the magnitude and direction of Fa when the acceleration of the box is 0 m /s2. (Indicate the direction of the force by the sign of your answers.)

Explanation / Answer

The answer to question no 1. i.e. Two horizontal forces, 1 and 2, are acting on a box, but only 1 is shown in the drawing

A. a = Fnet/m = (F1 + F2)/m

so F2 = m*a - F1 = 4.4kg*7.4m/s^2 - 2 = +30.56N

b) so F2 = m*a - F1 = 4.4kg*(-7.4m/s^2) - 2 = -34.56N

c) so F2 = m*a - F1 = 4.4kg*0m/s^2 - 2 = -2N

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