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In the figure, a stone is projected at a cliff of height h with an initial speed of 44.0 m/s directed at an angle θ0 = 62.0° above the horizontal. The stone strikes at A, 5.43 s after launching. Find
(a) the height h of the cliff,
(b) the speed of the stone just before impact at A, and
(c) the maximum height H reached above the ground.
A 200 mL volume of neon gas is at 1.2 atm of pressure. If it was heated from 250 K to 500 K what is the volume if the pressure is held constant
A chartered airplane flies 100 km east, then 350 km northwest, and then 150 km at 30° west of south. After an additional displacement, the plane is back where it started. Find the magnitude and the direction of the last leg of the journey.
If the alternating current in a circuit is described by the equation I=20sin60t, what are the peak current and frequency
A long, solid insulating cylinder of radius R = 1 mm has a uniform volume charge density and a total linear charge density of Lambda = 3:610^ -9 C/m.
A 1.00 uF capacitor is connected in parallel with a 2.00 uF capacitor. The 1.00 uF capacitor carries a charge of +10.0 uC on one plate, Find the equivalent capacitance of the two capacitors
A 4 m long rope weighing 1.4 N is stretched so that the tension is 10 N. The left end is then made to oscillate vertically at 4 Hz by shaking the rope up, What is the speed of the traveling waves on the rope
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 jet of water squirts out horizontally from a hole near the bottom of the tank. If the hole has a diameter of 3.40 mm, what is the height, h, of the water level in the tank.
A particular guitar string is supposed to vibrate at 200Hz, but it is measured to actually vibrate at 209Hz. By what percent should the tension in the string be changed to get frequency to the correct value.
Consider a car driving at constant velocity. The force of friction acting on the car in Newtons is, Find the magnitude of f when v = 50 miles/h
A long solenoid (cross-sectional area = 1.0 x 10-6 m2, number of turns per unit length = 2380 turns/m) is bent into a circular shape so it looks like a doughnut. Find the emf induced in the toroid
assume that a receiver has first amplifier stage with a 5k ohms input resistance, a power gain of 300, an input audio signal of 20uV, and an operating temperature of 27 Celsius.
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