Unformatted text preview: C4: Particles and
Systems M m θ An asteroid of mass M is heading right for earth with speed V. A rocket
of mass m and speed v is launched at the asteroid in an attempt to deﬂect
it from hitting earth. If the rocket becomes embedded in the asteroid
after impact, what is the optimum angle to hit the asteroid? a track with very little friction. You throw
balls at a partition that is rigidly mounted on
the cart. If the balls bounce straight back as
shown in the figure, is the cart put in motion? Concept Test 1. are it a cart, initially at rest
Suppose you Yes,on moves to the right. on a track with
2. Yes, moves to balls at
very little friction.itYou throw the left. a partition that is
3. No, it the cart. If the balls
rigidly mounted on remains in place. bounce straight
back as shown in the ﬁgure, is the cart put in motion? 1. Yes, it moves to the right.
2. Yes, it moves to the left.
3. No, it remains in place. m
R A hoop of radius R and mass M has a point mass m attached to
it. Find the center of mass of the system. L
m1 m2 Two space walkers with mass m1 and m2 are holding onto the ends of
a rope of length L. They are initially at rest. They begin pulling on
the rope. When they come together, how far has each of the
Neglect the mass of the rope. ...
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