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A light stool in the shape of an equilateral triangle has three identical vertical legs A,B,C at the corners and sits above a horizontal ground. Choose a coordinate system and length scale so that looking from above A=(0,-1), B=(0,1) C=(sqrt3,0). Assume up and right are positive. A mass m is placed on the stool at M=(x,y). Find the force through each leg supporting the mass in terms of x,y,g and m.
A beam of light traveling in air strikes the surface of mineral oil at an angle of 20.7° with the normal to the surface. find the index of refraction of mineral oil
How much current does an immersion heater draw from the car
A copper telephone wire has essentially no sag between poles 34.00 m apart on a winter day when the temperature is -20°C. How much longer is the wire on a summer day.
A Carnot engine operating between a warmer unknown temperature and a reservoir of boiling helium at 1.76 K has an efficiency of 56%. What is the warmer temperature
You somehow manage to get a gold ring with inner diameter 2.19 cm stuck on your finger, even though your knuckle has a diameter of 2.2 cm. To what temperature would you have to heat the ring
A 1.5 kg bicycle wheel with a radius of 0.27 m turns at a constant angular speed of 28 rad/s when a(n) 0.33 kg reflector is at a distance of 0.14 m from the axle. What is the angular speed of the wheel
A horizontal steel bar, 4m long and 2 cm diameter is imbedded in two concrete walls. A 2000 kg mass is hung from its center. By how much does the center sag
One particle has a mass of 4.42 x 10-3 kg and a charge of +7.35 %u03BCC. A second particle has a mass of 8.69 x 10-3 kg and the same charge. Find the initial separation between the particles
The working substance of a certain Carnot engine is 1.0 mol of an ideal monatomic gas. During the isothermal expansion portion of this engine's cycle, the volume of the gas doubles, while during the adiabatic expansion the volume increases by a fa..
A small airplane accelerates from rest at a constant acceleration of 1.2 m/s^2 along the runway. How long did this take
A ball of mass 0.30 kg is fired with velocity 160 m/s into the barrel of a spring gun of mass 2.5 kg initially at rest on a frictionless surface. What fraction of the ball's initial kinetic energy is stored in the spring
A toy rocket engine lifts a mass of 4.5 kg to a height of 15.0 meters. At this height, the rocket is moving at 26.7 m/s. How much work was done by the rocket engine
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