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A hot-air balloon is accelerating upward under the influence of two forces, its weight and the buoyant force. For simplicity, consider the weight to be only that of the hot air within the balloon, thus neglecting the balloon fabric and the basket. The hot air inside the balloon has a density of ρhotair = 0.89 kg/m3, and the density of the cool air outside is ρcool air = 1.29 kg/m3. Calculate the acceleration of the rising balloon?
An expandable cylinder has its top connected to a spring with force constant 2 x10^3 N/m. The cylinder is filled with 6 L of gas with the spring relaxed at a pressure of 1.0 atm and a temperature of 20°C.
Derive an equation for radius r of circular path that the electrons follow in terms of the magnetic field B, the electrons’ velocity v, charge e, and mass m. You may assume that the electrons move at right angles to the magnetic field.
even as Jo moves off in the opposite direction at a speed of 1.27m/s. assuming that friction is negligible, find out Al's mass.
32 violins playing simultaneously with the same intensity combine to give an intensity level of 82 dB. a) What is the intensity level of each violin? (b) If the number of violins is increased to 64, will the combined intensity level be more than, les..
A 2.50 kHz sound wave is transmitted through an aluminum rod. What is the wavelength in the almunium. What is the sound wave's frequency when it passes into theair?
The record for the highest speed achieved in a laboratory for a uniformly rotating object was 2.01e3m/s for a 0.15m long carbon rod
Assume you doubled the mass of a clock‘s pendulum (including the rod and the weight at the end) while keeping its dimensions the same. Would the clock run fast or slow?
A roller coaster travels 98.9ft at an angle of 42.9 above the horizontal. How far does it move vertically
a parallel-plate capacitor is formed from two 1.0 cm times 1.0 cm electrodes spaced 2.9 mm apart. the electric field
Four charges Aq,Bq,Cq, and Dq (q = 5 x 10-07C) sit in a plane at the corners of a square whose sides have length d = 80.0 cm. A charge, Eq, is placed at the origin at the center of the square.
The axle of a wheel is mounted on supports that rest on arotating turntable as shown in the figure. The wheel has angularvelocity ω1 = 44.0 rad/s about its axle, and the turntablehas angular velocity ω2 = 35.0 rad/s about a vertical axis.
A merry-go-round with moment of inertia of 550 kg m 2 has a boy of mass 45 kg riding in the center of the merry-go-round with an initial angular velocity of 9 revolutions per minute. The boy then travels from the center to the outside rim of the m..
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