There are two forces acting on a box of golf balls, F1 and F2. The mass of the box is 0.750 kg. When the forces act in the same direction, they cause an acceleration of 0.450 m/s2. When they oppose one another, the box accelerates at 0.240 m/s2 in the direction of F2. (a) What is the magnitude of F1? (b) What is the magnitude of F2?

1 answer

F1+F2 = m*a = 0.750 * 0.450 = 0.3375 N.

Fi-F2 = 0.750 * 0.240 = 0.18 N.

Eq1: F1 + F2 = 0.3375
Eq2: F1 - F2 = 0.1800
Sum: 2F1 = 0.5175
F1 = 0.25875 N.

In Eq1, replace F1 with 0.25875
0.25875 + F2 = 0.3375
F2 = 0.3375 - -0.25875 = 0.07875 N.