a)A 0.05 kg mass is used to accelerate a cart. At t=1 second,
the 0.5 kg cart is at x=0.5 m, at rest. At t=2.5 seconds, the cart
is at 1.5 m, traveling at 1.3 ± 0.3 m/s. Calculate and compare the
impulse with the total change in momentum of the cart and mass.
(Read the theory and sections 1.5 through 1.7 if you’re not sure
how to do this.)
b) What would be the effect of air resistance and friction on
the final velocity and momentum of the cart?
c) If a cart of mass 1.2 kg, traveling at 0.5 m/s, collides
elastically with a cart of mass 0.7 kg, initially at rest, what is
the final velocity of the first cart?
d) If the two carts above stick together after the collision,
what is the final velocity of the first cart?
e) What is the final velocity of the first cart in (c) if the
second cart has mass 1.8 kg?
f) What is the final velocity of the first cart in (d) if the
second cart has mass 1.8 kg?