6. Solve parts a and b: A box is at rest on a horizontal,frictionless table.
a. Horizontal force F1 points alongthe positive x-axis; when it is the only force acting onthe box, the box accelerates at 8 m/s2. ForceF2 is also horizontal; it has magnitude5.31F1 and acts at right angles to thedirection of F1.
If forces F1 andF2 act on the box at the same time,find the magnitude of the acceleration of the box now, inm/s2. Â
6b. A box is at rest on a horizontal, frictionless table.Horizontal force F1 points along thepositive x-axis; when it is the only force acting on thebox, the box accelerates at 7.39 m/s2. ForceF3 is also horizontal; it has magnitude7.2F1 and acts at an angle 54.3o tothe direction of F1.
If forces F1 andF3 act on the box at the same time,find the magnitude of the acceleration of the box now, inm/s2. Â
