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A thin homogeneous plate has the shape of an equilateral triangle and is suspended from one apex, acting as a physical pendulum. Use the Lagrangian to obtain the equation of motion and find the frequency of small oscillations, assuming the motion takes places in the plane of the plate.
A 1.5 V battery is rate at 1,800 milliamp hrs (mAh). How much electrical energy (in joules) is stored in the battery when it is new
A 135 kg satellite experiences a gravitational force by the Earth of 830 N. What is the radius of the satellite's orbit and what is its altitude
A standard 100 W (120 V) lightbulb contains a 7.40 cm-long tungsten filament. What is the diameter of the filament
The radius of the hydrogen atom is 0.053 nm. find the Coulomb force between the electron and the proton in the atom
The label on a candy bar says 480 Calories. Assuming a typical efficiency for energy use by the body, if a 62 person were to use the energy in this candy bar to climb stairs, how high could she go?
You select a rental package that includes a car with an average consumption of 6.00 liters of fuel per 100 km. how much (in US dollars) will you spend in fuel on your trip
A chair of weight 125 N lies atop a horizontal floor; the floor is not frictionless. You push on the chair with a force of F = 35.0 N directed at an angle of 42.0 below the horizontal and the chair slides along the floor. Using Newton's laws, compute..
A 20 g ball of clay traveling east at 8.0 m/s collides and sticks togethor with a 20 g ball of clay traveling north at 8.5 m/s. What is the speed of the resulting ball of clay
One end of a wire is attached to a ceiling, and a solid brass ball is tied to the lower end. The tension in the wire is 140 N. What is the radius of the brass ball
The lenses of a particular set of binoculars have a coating with index of refraction n = 1.38, and the glass itself has n = 1.52. what is the minimum thickness of the coating
A gymnast of mass 52.0kg hangs from a vertical rope attached to the ceiling, calculate the tension T in the rope if the gymnast hangs on the rope
A proton is projected perpendicularly into a magnetic field that has a magnitude of 0.29 T. What is the magnitude of the field used for the electron
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