Two distinct forces, **→ F1** and **→ F2**, act upon a falafel. The first force has magnitude 0.085 N and points directly in the West direction. The second force has magnitude 0.120 N and points in a direction 20° East of North.
(a) Draw and label a set of coordinate axes, and then sketch vectors **→ F1** and **→ F2** on these axes with their tails at the origin.
(b) The net force acting upon the falafel is **→ F1** + **→ F2**. Determine the North component of this net force. You can do this by determining the North components of **→ F1** and **→ F2** individually, and then adding the two North components to get the total (or net) North component.
(c) Determine now the West component of the net force. You can do this pretty much the same way that you did Part (b) above. Just be careful with your signs.
(d) Now that you have the components of the net force, determine its magnitude and direction. Be sure to give the direction of the net force with respect to a well-defined axis. I suggest first sketching the net force as a single vector (using the components that you determined above), and then using Pythagorean theorem and inverse trigonometry to determine its magnitude and direction.
(e) Draw and label a new set of coordinate axes and sketch the net force on these axes with its tail at the origin.
If the falafel in the previous problem has mass 30 grams:
(a) Determine the change in the falafel’s velocity, **Δv**, over the course of two seconds.
(b) If the falafel is moving due North at speed 7 m/s at time t = 0, determine the falafel’s velocity at time t = 2 seconds.