6. Intro to Forces (Dynamics)

Which of the following scenarios is most likely to result in a head-on collision involving forces in two dimensions when passing another vehicle on a two-lane road?

Which of the following statements about blind spots and vehicle size is correct?

Which of the following force diagrams accurately represents the forces acting on a satellite in a stable circular orbit around $Earth$?

A trunk is being pushed leftward across a floor by three forces: a force of $300N$ to the left, a force of $200N$ to the right, and a downward force of $500N$. What is the magnitude of the net force acting on the trunk?

In a coordinate system where the $x$-axis is aligned along an inclined plane and the $y$-axis is perpendicular to the plane, which of the following forces always lie along the coordinate axes for an object resting on the plane?

Two forces of equal magnitude are applied at the end of a screw eye to remove a post. If the forces are applied at an angle of $120°$ to each other, what is the magnitude of the resultant force in terms of the magnitude $F$ of each force?

A man pushes on a piano with mass $180$ kg; it slides at constant velocity down a ramp that is inclined at $19.0°$ above the horizontal floor. Neglect any friction acting on the piano. Calculate the magnitude of the force applied by the man if he pushes parallel to the incline.

A horizontal beam is supported at both ends and two vertical forces are applied to it at different points. If the beam is in static equilibrium, which of the following statements must be true about the sum of the vertical forces acting on the beam?

Three horizontal forces act on a box (mass = 8 kg) sitting on a smooth surface. F₁ is 30 N acting at 53° counterclockwise from the +x axis, F₂ is 13 N acting at 67.4° clockwise from the +x axis, and F₃ is 20 N directly along the -x axis. What are the magnitude and direction of the box's acceleration?

You push a 5.1kg cart along the floor with an unknown force F at 30° below the horizontal. Using a scale, you know the Normal force is 70N. What is the horizontal acceleration of the cart?

(II) Two large snowcats are towing a housing unit north, as shown in Fig. 4–42. The sum of the forces ${\overrightarrow{F}}_A$ and ${\overrightarrow{F}}_B$ exerted on the unit by the horizontal cables is north, parallel to the line $L$, and ${\overrightarrow{F}}_A=4200\text{ N}$. Determine ${\overrightarrow{F}}_B$ and the magnitude of ${\overrightarrow{F}}_A+{\overrightarrow{F}}_B$.