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A nanowire is a (nearly) one-dimensional structure with a diameter on the order of a few nanometers. Suppose a 137.0-nm-long nanowire made of pure silicon (density of Si = 2.33 g/cm3) has a diameter of 4.07 nm. This nanowire is attached at the top and hanging down vertically due to the force of gravity. a) What is the tension at the top? b) What is the tension in the middle?
A speeding motorist traveling 100km/h passes a stationary police officer. The officer immediately begins pursuit at a constant acceleration of 12km/h/s (note the mixed units).
Visualize the one cubic centimeter as formed by stacking up identical cubes, with one copper atom at the center of each. Conclude the volume of each cube.
A 2.46×10^4 rocket blasts off vertically from the earth's surface with a constant acceleration. Throughout the motion considered in the problem, suppose that remains constant. Inside the rocket, a 15.10 instrument hangs from a wire that can support a..
A dolphin in seawater at a temperature of 25 °C emits a sound wave directed toward the ocean floor 246 m below. How much time passes before it hears an echo? (The speed of sound in ocean water is 1533 m/s.)
An ocean liner leaves New York City and travels 18.0° north of east for 232 km. How far east and how far north has it gone? In other words, what are the magnitudes of components of the ship's displacement vector in the following directions.
A block has an initial speed V(o) > 0 on a linear trajectory on the surface with friction coefficient u and air resistance (F = cv^2). Derive an equation that will represent the velocity (V) as a function of the position of the block (x). So V(x).
A 2.62 kg mass attached to a light string rotates on the horizontal, frictionless table. The radius of the circle is 0.4207 m, and string can support a mass of 14.70 kg before breaking.
Assume air resistance is negligible; from what height (in cm) above the compressed spring was the block dropped.
A particular organ pipe can resonate at 213 Hz, 355 Hz, and 497 Hz, but not at any other frequencies in between. What is the fundamental frequency of pipe.
What is the cross-sectional area of the wire. Nichrome wire of cross-sectional radius 0.786 mm is to be used in winding a heating coil. If the coil must carry a current of 8.00 A when a voltage of 3.00 x 10^2 V is applied across its ends.
A mass of 1.62 kg stretches a vertical spring 0.328 m. If the spring is stretched an additional 0.136 m and released, how long does it take to reach the (new) equilibrium position again.
An electron moves in the positive x-direction a distance of 2.31 m in 2.85·10-8 s, bounces off a moving proton, and then moves in the opposite direction a distance of 1.53 m in 3.33·10-8 s.
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