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A particle of mass m is located in 3-dimensional space with gravity acting on it in the vertical direction. Write the Lagrangian, the equations of motion, and all conserved quantities including energy if they exist
A 2590-kg van runs into the back of a 821-kg compact car at rest. They move off together at 8.5 m/s. Assuming the friction with the road is negligible, calculate the initial speed of the van
Two disks are rotating about the same axis. Disk A has a moment of inertia of 9.10 kg·m2 and an angular velocity of +8.10 rad/s. What is the moment of inertia of disk B
The electric field intensity between two parallel plates separated by 25mm is 8000 N/C. How much work is done by the electric field in moving a -2uC charge from the negative plate to the positive plate?
A small solid ball of mass M and radius R rolls without slipping on the track whose height y as a function of horizontal position x is given by y=ax^2, Find an expression for the period of the resulting motion
In a model AC generator, a 505 turn rectangular coil 7.0 cm by 20 cm rotates at 124 rev/min in a uniform magnetic field of 0.56 T. What is the maximum emf induced in the coil
the formulas for the ?uorides of some second period elements are lif bef2 bf3 and cf4. which is the correct formula for
A long, straight wire of length 0.75 m carries a current of I=1.5 A in a region where B= 2.3 T. what is the angle between the field and the wire
A hoodlum throws a stone vertically downward with an initial speed of 11.1 m/s from the roof of a building, 26.0 m above the ground. What is the speed of the stone at impact
A radiator has an emissivity of .90 and its exposed area is 1.23 m^2. the temperature of the radiator is 100 degrees C, what is the heat flow rate from the radiator
A meterstick is moving by an observer in a direction parallel to its length. The speed of the meterstick is .49c. What is its length in the reference frame of the observer
A wheel is spinning at 46 rad/s when an acceleration of 0.75 rad/s2 is applied. If the acceleration lasts for 140 revolutions, what is the final angular speed
A mini-fridge needs to maintain a temperature of 277 K. The air outside the mini-fridge has a temperature of 301 K. What is the coefficient of performance of this mini-fridge
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