P 1 (projective motion).
A bullet is fired from the gun barrel upward at an angle a to the horizontal with
an initial speed of 220 m/s (see Figure below). The distance from the gun barrel
to the target on the same horizontal is x = 3000 m.
(a) For what value of angle a a bullet will reach the target?
(b) How long does it take a bullet to reach the target?
(Hint: use the equation for the horizontal range in projectile motion).
P 2 (gravity).
Assume the Earth is a perfect sphere. Using the known radius of the Erath, TE =
6370 km, and the universal gravitational constant G = 6.674-10 N-m2/kg², find
the mass and the average density of the Earth.
P 3 (mechanical energy and work).
Two balls, masses 6.0k and 3.4 kg, moving in opposite directions at 4.1 m/s and
3.5 m/s respectively, collide. After the collision the heavier ball is moving in the
same direction as before at 0.4 m/s.
With what velocity is the second ball moving ?
(Hint: draw simple diagram of the balls before and after the collision).
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