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A 50 kg projectile is fired over level land at an angle of 30 degrees above the horizontal with a muzzle velocity of 210 m/s. At the highest point in its trajectory it explodes into two fragments, one of twice as much mass as the other. The less massive fragment falls vertically with zero initial speed. A) How far from the firing point does the more massive fragment land? B) How much energy was released during the explosion?
An inventor claims to have devised a cyclic engine which exchanges heat with reservoirs at 300 K and 540 K, and which can produce 450 J of work per 1000 J of heat extracted from the hot reservoir. Is his claim feasible.
Suppose the steel alloy is used for an automobile axle that rotates at an average rotational velocity of 600 revolution per minute (RPM). What is the highest lifetime of continuous driving that are allowable at stress level of 310-MPa.
The pulley system is used to lift a 61 kg crate. Note that one chain connects the upper pulley to the ceiling and a second chain connects the lower pulley to the crate. The crate is rising with an acceleration of 2.4 m/s2. Assume the masses of the ch..
Draw a picture of a moving source and the waves surrounding it according to what you observed in this experiment. How does the spacing of the wavefronts in front of the source compare to those behind it?
A girl throws a rock horizontally with a speed of 12.0 m/s from a bridge. It falls 2.28 seconds before reaching the water below. How high is the bridge from the water? How far horizontally does the rock travel before striking the water.
A rod 14 cm long is uniformly charged and has a total charge of -22 c. resolve the magnitude and direction of the electric field all along the axis of the rod at a point 36.0 cm from its center.
A uniform plank of length 5.5 m and weight 205 N rests horizontally on two supports, with 1.1 m of the plank hanging over the right support .To what distance x can a person who weighs 447-N walk on the overhanging part of the plank before it just ..
Determine the position q1 of the image formed by the first converging lens.
A rectangular container measuring 10cmx20cmx25cm is filled with gas. What is the mass volume of water in kilograms.
A 9.0 cm diameter wire coil is at first oriented so that its plane is perpendicular to a magnetic field of 0.67 T pointing up. During the course of 0.30 s, the field is changed to one of 0.25 T pointing down. What is the average induced emf in coil.
A container of volume 23 cm3 is initially filled with air. The container is after that evacuated at 0oC to a pressure of 30 mPa. How many molecules are in the container after evacuation if we suppose that air is an ideal gas.
Two point charges q and 4q are at x=0 and x=L, respectively, and free to move. A third charge is placed so that the entire three-charge system is in static equilibrium. What is the magnitude of the third charge? What is the x-coordinate of the thi..
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