A string along which waves can travel is 2.70 m long and has a mass of 260 g. The tension in the string is 36.0 N. What must be the frequency of traveling waves of amplitude 7.70 mm for the average power to be 85.0 W? ... https://www.youtube.com/watch?v=BzK_zFSggPE
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How high would the level be in an alcohol barometer at normal atmospheric pressure?
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(a) Determine the total force and the absolute pressure on the bottom of a swimming pool 28.0 m by 8.5 m whose uniform depth is 1.8 m. (b) What will be the pressure against the side of the pool near the bottom?
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Suppose that, while lying on a beach near the equator
watching the Sun set over a calm ocean, you start a stopwatch just
as the top of the Sun disappears. You then stand, elevating your
eyes by a height H = 1.70 m, and stop the watch when the top of
the Sun again disappears. If the elapsed time is t = 11.1 s, what is
the radius r of Earth?
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The position of a particle moving along an x axis is given by
x = 12t^2 - 2t^3, where x is in meters and t is in seconds. Determine (a)
the position, (b) the velocity, and (c) the acceleration of the particle at
t = 3.0 s. (d) What is the maximum positive coordinate reached by
the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is
it reached? (h) What is the acceleration of the particle at the instant
the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t = 3 s.
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[SSM] The position of an object moving along an x axis is given
by x = 3t - 4t^2 + t^3, where x is in meters and t in seconds. Find the
position of the object at the following values of t: (a) 1 s, (b) 2 s,
(c) 3 s, and (d) 4 s. (e) What is the object’s displacement between t = 0
and t = 4 s? (f) What is its average velocity for the time interval
from t = 2 s to t = 4 s? (g) Graph x versus t for 0 ≤ t ≤ 4 s and indicate how the answer for (f) can be found on the graph.
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Planet A and planet B are in circular orbits around a distant star. Planet A is 7.0 times farther from the star than is planet B. What is the ratio of their speeds v_A / v_B?
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A 30 μF capacitor is connected across a programmed power supply. During the interval from t = 0 to t = 3.00 s the output voltage of the supply is given by V(t) = 6.00 + 4.00t - 2.00t^2 volts. At t = 0.500 s find (a) the charge on the capacitor, (b) the current into the capacitor, and (c) the power output from the power supply.
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It is said that in ancient times a rich man with a bag of
gold coins was stranded on the surface of a frozen lake.
Because the ice was frictionless, he could not push himself
to shore and froze to death. What could he have done to
save himself had he not been so miserly?
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A wheel is free to rotate about its fixed axle. A spring is attached to one of its spokes a distance r from the axle, as shown in the figure. (a) Assuming that the wheel is a hoop of mass m and radius R, what is the angular frequency ω of small oscillations of this system in terms of m, R, r, and the spring constant k? What is ω if (b) r = R and (c) r = 0?
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