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In a stage production of Peter Pan, the 51.0 kg actor playing Peter has to fly in vertically, and to be in time with the music, he must be lowered a distance of 3.00 m in 2.70 s. Backstage, a smooth (frictionless) surface sloped at an angle of 59.0 ° with respect to the horizontal supports a counterweight of mass m. Calculate the mass of the counterweight. Assume that Peter starts from rest.
Calculate the tension in the line supporting the actor.
You have two springs. One has a greater spring constant than theother. You also have two objects, one with a greater mass than the other. Which object should be attached to which spring, so that the resulting spring-object system has the greatest ..
a roller coaster travels 41.1 at an angle of 40 degrees above the horizontal. how far does it move horizontally and
A 450 kg dragster accelerates from rest to a final speed of 120 m/s in 400 m, What is its average power output in watts and horsepower if this takes 7.30 s
A uniform beam of negligible weight is supported by a cable. The beam is pivoted at the bottom and a 2000-N object hangs from its top. Find the magnitude of the tension T in the cable.
A ship sets out to sail to a point 148 km due north. An unexpected storm blows the ship to a point 148 km due east of its starting point. (a) How far (in km) and (b) in what direction (as an angle from due east, where north of east is a positive angl..
A heat rate of 3kW is conducted through a section of an insulatingmaterial of cross-sectional area 10m2 and thickness2.5cm. If the inner (hot) surface temperature is 415oCand the thermal conductivity of the material is 0.2 W/m.K, what is the outer su..
Polonium-210 decays to the ground state of Lead-206 by the emission of a 5.305-MeV alpha-particle with a half-life of 138 days. What mass of Polonium-210 is needed to produce 1 MW of thermal energy from its radioactive decay?
A scientific supply catalog advertises a material having the index of refraction of 0.85. Is that a better product to buy? Why or why not.
In a photoelectric effect experiment, a metal sample is illuminated by 10.0 mW of ultraviolet light of wavelength 240 nm. What is the longest wavelength of light that can knock electrons out of this metal
A disk of thickness 1 mm and radius equal to that of 1.5 Fresnel's zones is placed perpendicular to the line connecting the light source and detector. Evaluate the detected light intensity
The Black body radiation emitted from a furnace peaks at a wavelength of 4.1 x 10^-6 m (0.0000041m)
A ball of mass 0.40 kg is fired with velocity 140 m/s into the barrel of a spring gun of mass 2.1 kg initially at rest on a frictionless surface. What fraction of the ball's initial kinetic energy is stored in the spring
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