Transcript 1. BEFORE and AFTER 2. Do X and Y Separately Problem Solving

Problem Solving
For Conservation of Momentum problems:
1. BEFORE and AFTER
2. Do X and Y Separately
Before
Y
X
From Dr. Toback’s website
After
X
From Dr. Toback’s website
Y
Quiz
A mass m1 moves along the x axis with velocity of
magnitude v0 on a frictionless table. It strikes another
mass m2 which is initially at rest. The mass m1 goes off
along the y axis. If half of the original kinetic energy is
lost in the collision, with what speed and at what angle
does m2 leave the point of collision?
Draw a figure and write the equations but do not solve
them!
Polar coordinates
Coordinates on a sphere: latitude and longitude
A satellite of mass m is attracted to the Earth of mass
M with a force of gravity proportional to the inverse
square of the distance to the Earth center, r:

Mm 
F   2 ir
r

is a gravitational constant
Calculate the work done by this force:
a) If the satellite moves out along a radius vector from B
(rB from the origin) to C (rC from the origin).
b) if the satellite moves from A to B where A and B are
points on a circle, centered at the origin;
Find the velocity, the kinetic energy, and the potential
energy of a satellite on a circular orbit of radius r.
A mass m1 is going around in a circle on a
string on a frictionless table and the string goes
through a hole where it is attached to a hanging
mass m2. If the mass m1 is going around with
constant   0 , what must the distance from
the mass m1 to the hole be if the mass m2 is to
remain at rest?
m1
m2
A race track designer wants to have the cars
able to maintain a speed vmax without skidding
on a circular track. If the track is flat with a
coefficient of friction  what does the radius
have to be?
A race track designer wants to have the cars
able to maintain a speed vmax without skidding.
At what angle must the track of radius R be
banked assuming no friction? Assuming a
coefficient of friction ?
Platform rotates with a constant angular
velocity 0. At t = 0 it starts rotating with
angular acceleration (t)=t. At the same time
a man starts a distance L from the center and
walks in along a straight line painted on the
platform towards the center. He decreases his
distance from the center at a constant rate, V0.
What force does the platform exert on the
man, as a function of his distance from the
center?