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A standard violin string is 32.8 cm long from the tuning peg to the bridge. When played open(without pressing a finger against the fingerboard), this string has a fundamental (lowest)frequency of 440 Hz.
(a) What is the wavelength of the wave at this frequency? (Hint: the lowest frequency is alsothe longest wavelength that can produce a standing wave.) b.
(b) What is the speed of the wave on the string? (Hint: this is not the speed of sound!)c.
(c) How far from the end of the string should a finger be placed in order to produce afundamental frequency of 523 Hz.
A 320 kg rocket sled can be accelerated at a constant rate from rest to 1400 km/h in 2.0 s. What is the magnitude of the necessary net force.
The hydrogen bomb detonated in 1954 had an explosive power equal to about 15 megatons of TNT, How many times more explosive was the hydrogen bomb
A wrecking ball (weight = 4600 N) is supported by a boom, which might be assumed to be uniform and has a weight of 3600N. As the drawing shows, a support cable runs from the top of the boom to the tractor. The angle between the support cable and t..
You are given three capacitors, with capacitances 0.0075 µF, 12000 pF, and 0.029 µF, what is the maximum and the minimum voltage difference would they make when charged to 130 µC
(a) Calculate the ratio of the electric potential at the surface of the large sphere to that of the small sphere. (b) Calculate the ratio of the magnitudes of the electric fields at the surface of the large sphere to that of the small sphere.
A 102-N grocery cart is pushed 13.0 m by a shopper who exerts a steady horizontal force.
Two equal positive charges of magnitude q1 = q2 = 6 nC are on the y axis at y1 = +3 cm and y2 = -3 cm. (a) What is the magnitude and direction of the electric field on the x axis at x = 6 cm? b) What is the force exerted on a third charge q0 = 4 n..
A circular hole in an aluminum plate is 3.263 cm in diameter at 0.000°C. What is its diameter (in cm) as the temperature of the plate is raised to 129.8°C? Give the answer to four significant figures. The linear expansion coefficient of aluminum i..
A 110 kg mail bag hangs by a vertical rope 4.0 m long. A postal worker then displaces the bag to a position 2.0 m sideways from its original position, always keeping the rope taut. As the bag is moved to this position, how much work is completed by t..
A ball starts at a point 30 m above the bottom of a dip with of 25 m/s. overlook friction, what will be the speed of the ball at the top of the next slope, which is 45 m above the bottom of the dip.
Two carts with masses of 4.80 kg and 2.78 kg move toward each other on a frictionless track with speeds of 4.94m/s and 3.17m/s respectively. The carts stick together after colliding head-on. Find out the final speed.
The electric field everywhere on the surface of a thin, spherical shell of radius 0.785 m is of magnitude 850 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? Please show work.
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