1)
A driver knows she is driving counterclockwise on a circular road.
She looks down at her speedometer, and notices its reading is not
changing with time. she has taken physics so she knows she is
accelerstion in what direction ( ignorning any motion of the
earth?)
2) you swing a rock, tied to a thread of length L in a
horizontal circle around your head at a given constant angular
frequency omega. since there is gravity the thread slopes downwards
an angle theta from horizontal. (radius of circle is less than L,
bur the circle is still horizontal.) given the angular frequency is
being held fixed, the way the length L connects with the angle
theta is that L is proportional to...
3) for all the satellites that are currently orbiting the
Earth in circular orbit, what quantity involvimg their obit
frequency f and the rafius of their orbit r has the same value for
all of them?
4) a mass on a spring is stretched a distance A from its
equillibrium point, held stationary and then released at t=0. What
describes the way its position depends on time?
5) a spring with a sprint constant k is stretched a distance x
and a mass of m is attached to it. the mass is then let fo and
allowed to spring back. if the max speed the mass achieves is v,
what was the spring constant k?
6) a child at a playground swings in a circle at constant
speed. think of the circles as being in a plane with an x and y
axis. how does the y component of the net force on the child depend
on y?
7) a car drives a flat circular road of radius r. the
coefficent of kinetic friction is mu_k and the coefficient of
static friction is mu_s. what is the fastest speed the car can go
without sliding off the road?