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An aerialist on a high platform holds onto a trapeze attached to a support by an 9.8-m cord. (See the drawing.) Just before he jumps off the platform, the cord makes an angle of 37° with the vertical. He jumps, swings down, then back up, releasing the trapeze at the instant it is 0.77 m below its initial height. Calculate the angle θ that the trapeze cord makes with the vertical at this instant.
A 3.9 kg stone is tied to a 5.8 m long string and swung around a circle at a constant angular velocity 1.7 1/s. Find the magnitude of the torque about the origin
A wagon is rolling forward on level ground. Friction is negligible. The person sitting in the wagon is holding a rock. The total mass of the wagon, rider, and rock is 96 kg. Find the speed of the wagon after the rock is thrown
An optical engineer needs to ensure that the bright fringes from a double slit are 15.7 mm apart on a detector that is 1.61 m from the slits. how far apart should the slits be
A capacitor consisting of two plates separated by a distance d of 4.25 x 10^-3, with an area A of 8.15 x 10^-4 m^2, What is the numerical value of the energy for the capacitor
Assuming that the earth is of uniform density inside, find the kinetic energy of the earth due to its yearly motion around the sun. Assuming that the earth is of uniform density inside, find the kinetic energy of the earth due to its daily spin on i..
Consider a series RLC circuit with R = 15 , L = 190 mH, C = 75 µF, and a maximum voltage of 142 V. What is the impedance of the circuit at resonance
A sinusoidal wave traveling in the positive x-direction has a wavelength of 11 cm, a frequency of 13 Hz, and an amplitude of 19 cm. The part of the wave that is at the origin at t = 0 has a vertical displacement of 6 cm.
In a retelling of the ancient tale of David and Goliath, David holds a 1.6 m rope at its midpoint, and twirls a 1 kg stone attached at the farther end. What is the centripetal force
a 3.5 cm tall object is 15cm in front of a diverging lens that has -27 cm focal length. calculate the image position
A certain airplane has a speed of 341.5 km/h and is diving at an angle of θ = 26.0° below the horizontal when the pilot releases radar decoy (Fig. 4-37). The horizontal distance among the release point and the point where the decoy strikes the ground..
A 100 g aluminum calorimeter contains 250 g of water. The two substances are in thermal equilibrium at 10°C. Determine the specific heat of the unknown second sample
A long, straight wire of length 1.3 m carries current I = 3.1 A. what is the magnitude of the force on the wire
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