In a stage production of peter pan, the 63 kg actress playing peter has to fly in vertically, and to be in time with the music, she must be lowered, starting from rest, a distance of 2.6 m in 2.2 s. backstage, a smooth surface
sloped at 58◦ supports a counterweight of mass m. what is the mass of the counterweight that must be used? the pulley is of negligible mass
and is frictionless. the acceleration of gravity is 9.81 m/s^2.
answer in units of kg.

Acylinder with a movable piston contains 11.7 moles of a monatomic ideal gas at a pressure of 1.32×10^5 pa. the gas is initially at a temperature of 300 k. an electric heater adds 43200 j of energy into the gas while the piston moves in such a way that the pressure remains constant. cp=20.79 j k^−1 mol^−1 for a monatomic ideal gas, and that the number of gas molecules is equal to avogadro's number (6.022×10^23) times the number of moles of the gas. (a) what is the temperature of the gas after the energy is added? (b) what is the change in volume of the gas? (c) how much work is done by the gas during this process?

One form of energy can be another type of energy. a. created to form b. transformed into c. destroyed and then created to form

Consider a uniformly charged ring in the xy plane, centered at the origin. the ring has radius a and positive charge qdistributed evenly along its circumference. a)what is the direction of the electric field at any point on the z axis? . b)what is the magnitude of the electric field along the positive z axis? use k in your answer, where k=14πϵ0. d)the ball will oscillate along the z axis between z=d and z=−d in simple harmonic motion. what will be the angular frequency ω of these oscillations? use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2. express your answer in terms of given charges, dimensions, and constants