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A 4.0 kg shell is shot with an initial velocity of magnitude 20.0 m/s at an angle of 60o with the horizontal. At the top of the trajectory, the shell explodes into two fragments.
(a) Find how long it takes for the shell to rise to the top of its trajectory.
t = ___________________
(b) Find the velocity (magnitude and direction) of the shell just before the explosion.
V = ___________________ Just after the explosion, the velocity of the 1.0 kg fragment #1 is 1.0 m/s horizontally.
(c) Find the velocity (magnitude and direction) of fragment #2 just after the explosion.
V2 = __________________
(d) Find the distance from the gun to the point where fragment #2 lands, assuming the terrain is level and that air drag is negligible.
D = ________________
(e) Which fragment hits the ground first?
Fragment # ____________
A tank is in the shape of an inverted cone, having height h = 2.50 m and base radius r = 0.750 m. If water is poured into the tank at a rate of 15 L/s, how long would it take to fill the tank.
One cubic centimeter of a cumulus contains 250 water drops, which have a typical radius of 10 μm. (a) How many cubic meters of water are in a cylindrical cumulus cloud of height 3.0 km and radius 1.1 km.
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You are driving to grocery store at 21. You are 100 from an intersection when the traffic light turns red. Presume that your reaction time is 0.75 and that your car brakes with constant acceleration. How far from the intersection are you when you ..
Suppose you see two main-sequence stars of the same spectral type. Star 1 is dimmer in apparent brightness than Star 2 by a factor of 100. What can you conclude? (Overlook any effects that might be caused by interstellar dust and gas.)
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