A motorbiker (m = 86.2 kg) decides to join a travelling circus during the summer months to "see the world". He volunteers to drive a motorbike (m = 104 kg) inside a spherical metal cage (radius = 10.0 m) for entertainment. a. While driving horizontally around the middle of the cage, he completes 25 loops in one minute. Determine the coefficient of friction he needs between his tires and the cage so that he doesn't slide down. b. He then turns so that he eventually rides around the cage vertically at 16.5 m/s. What force is the motorbike being pushed with at both the top and bottom of the cage to allow him to do this?

Learning goal: to understand newton's 1st law. newton's principia states this first law of motion: an object subject to no net force maintains its state of motion, either at rest or at constant speed in a right line. this law may be restated as follows: if the sum of all forces acting on an object is zero, then the acceleration of that object is zero. mathematically this is just a special case of the 2nd law of motion, f⃗ =ma⃗ , when f⃗ =0. when studying newtonian mechanics, it is best to remember the 1st law in two ways: if the net force (i. e., sum of all forces) acting on an object is zero, the object will keep moving with constant velocity (which may be zero). if an object is moving with constant velocity, that is, with zero acceleration, then the net force acting on that object must be zero. complete the following sentences to see if you can apply these ideas. part a if a car is moving to the left with constant velocity, one can conclude that