1. The two forces ({bf{vec F}}_1) and ({bf{vec F}}_2)shown in the figure (Figure 1) (looking down) act on a 15.0-({rm kg}) object on a frictionless tabletop.
a. If (F_1)=13.0 ({rm N}) and (F_2)=21.0 ({rm N}) , find the magnitude of the net force on the object for (a).
b.Find the direction of the net force on the object for (a).
c.Find the magnitude of the acceleration of the object for (a)
d. Find the direction of the acceleration of the object for (a).
2. A 650-N force acts in a northwesterly direction. Illustrate your answer with a vector diagram.
3. A mass m is at rest on a horizontal frictionless surface at t=0. Then a constant force F0 acts on it for a time t0. Suddenly the force doubles to 2F0and remains constant until t=2t0.
Determine the total distance traveled from t=0 to t=2t0. Express your answer in terms of the variables m, F0, t0, and appropriate constants.
4. A boat can travel 2.30 m/s in still water.What will be the position of the boat, relative to its point of origin, after 6.00 s ? Assume that the positive x and y axes are directed downstream and away from the shore, respectively.
Enter the x and y components of the displacement separated by a comma.