One morning, Connie walks from her house to go to a store that is 500 ft, S 40o W from her house. She starts walking 120 ft, SW; then continues walking 100 ft, 10o S of E; then sees a friend who is 700 ft, 30o N of E from where she is.  What is her friend’s location, (magnitude and direction) relative to her house?  From her friend’s location, how far and in what direction should Connie walk to finally get to the store?

A particle P of mass m = 1 kg arrives at point with a horizontal velocity vo and starts rolling down a circle with radius R = 1 m. The particle is attached to the point O by means of a linear spring of stiffness k = 50 N/m that is unstretched when the particle is at O. Assume that during the motion of P along the circle, the spring follows the circle. Let N = {ĥ, ny} be a fixed reference frame as shown in the figure and let B = {b, by} be a reference frame attached to P so that b is tangent to the circular path and by is perpendicular to the circular path. For convenience, take g = 10 m/s² in this question. ny 1/ nx IP

7) Sailboat travels at a speed 20.0 km/h on Georgian Bay in a direction 30.0° west of north with no land in sight while a motorboat travels 20.0° east of north at 25.0 km/h. What is velocity (magnitude and direction) of the sailboat relative to the motorboat?

Two forces of 7 lb. and 14 lb. act on a body at right angles to each other. Find their resultant. 15 16 14