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A frictionless inclined plane with angle of inclination theta is fixed to the floor of a train car accelerating in the +x direction with constant acceleration a. a block of mass m starts at the top of the inclined plane and slides down.
Use lagrangian mechanics to find the equation of motion of the block
Use newtons laws to confirm your equation of motion.
A submarine suddenly breaks up at a depth of 248 m below sea level. The air in the submarine will then be suddenly (adiabatically) compressed. The initial pressure of the air is 1.0 atm, and the initial temperature is 23.0°C.
Calculate the pressure exerted on the skin by an acupuncture needle of radius 0.100 mm applied with a force of 4.40 N
An airplane propeller is 2.08 m in length (from tip to tip)with mass 117 kg. The propeller is rotating at 2400 rev/min aboutan axis through its center. What is its rotational kinetic energy
A piece of glass has a temperature of 71.0 °C. Liquid that has a temperature of 38.0 °C is poured over the glass, evaluate the specific heat capacity of the liquid
What is the phase difference in a Young's double slit experiment where the intensity is half that of the central maximum
A novice skier, starting from rest, slides down a frictionless 34° incline whose vertical height is 128 m. How fast is she going when she reaches the bottom.
a lump of platinum is extruded through a die with diameter of 0.1 cm resulting in a cylindrical shape and a net
An electron entered a parallel-plate capacitor with the speed 5x10^5 m/s horizontally. What is the distance traveled by the electron along its initial direction between the capacitor plates
A block of mass 12.0 kg slides from rest down a frictionless 33.0° incline and is stopped by a strong spring with k = 2.00 104 N/m. how far has the spring been compressed
A battery of ? = 2.70 V and internal resistance R = 0.700 ? is driving a motor. The motor is lifting a 2.0 N mass at constant speed v = 0.50 m/s. Assuming no energy losses, find the current i in the circuit. Enter the lower current.
6.00g of nitrogen gas at 22.0 degree celsius and an initial pressure of 4.00atm undergo an isobaric expansion until the volume has tripled, What amount of heat energy is transferred from the gas as its pressure decreases
Three blocks (1,2,3) of mass 3.00 kg, 2.00 kg, 1.00 kg sit linearly 10.0 cm apart from each other on a frictionless surface. What percent of the initial energy of the bullet was lost
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