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For the description of motion in two dimensions one may use Cartesian coordinates (x(t), y(t)), or plane polar coordinates (r(t), γ(t)), where x(t)=r(t)cos(γ(t)) and y(t)= r(t)sin(γ(t)). Rewrite the kinetic energy T= 1/2 m(x'^2+y'^2) in plane polar coordinates.
A long solenoid has 1.56e+3 turns in length of 40.0 cm. What current has to flow through the solenoid in order to generate a magnetic field
a skateboarder is moving at a constant velocity of 1.75 ms when she starts up an incline that causes her to slow down
A swimming pool has dimensions 29 m x 34 m and a flat bottom, what is the total force due to the water on the bottom
A wire has a length of 7.26 × 10-2 m and is used to make a circular coil of one turn. find the maximum torque that this coil can experience
A rock climber throws a small first aid kit to another climber who is higher up the mountain. What is the vertical height between the two climbers
It takes 25 turns to drive a screw completely into a block of wood. Because the friction force between the wood and the screw is proportional to the contact area between the wood, what is the total work (in J) required to drive in the screw
A 109-kg horizontal platform is a uniform disk of radius 1.69 m and can rotate about the vertical axis through its center. A 61.5-kg person stands on the platform at a distance of 1.15 m from the center and a 27.5-kg dog sits on the platform near ..
A 20.0-kg box rests on a horizontal surface. The coefficient of static and kinetic friction between the box and the surface are 0.30 and 0.10 respectively, find the friction force between the box and the surface
Two steel guitar strings have the same length. String A has a diameter of 0.55 and is under 440.0 of tension. Find the ratio of the wave speeds in these two strings
In an aluminum pot, 0.15 kg of water at 100 degrees c boils away in four minutes. find the temperature at the aluminum-steel interface
In the series RLC circuit which consists of a 150-ohm resistor, a 1.27x10^-6 F capacitor, and a 0.035 H inductor, 60.0Hz power supply. What is the total impedance
If the pendulum makes a maximum angle of 5.4? with the vertical, what is the length of the pendulum
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