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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 where a is a constant with the units of inverse length. The mass is given an initial displacement from the bottom of the track and then released. Find an expression for the period of the resulting motion. Express your answer in terms of a, g, M, and R.
T=
A uniform cylinder of mass m=6.30 kg and radius R=0.132 m is released from rest on an inclined plane (theta=32.7 deg), What is the speed of the center of mass of the cylinder just before it reaches the horizontal surface
The bullet lodges in the forehead of the victim and comes to a rest. If the victim's head has a mass of 5 kg and was at rest before impact, what is the stress on the cervical vertebra
A certain transformer has 500 turns on the primary. If 10 volts are applied to the primary, what was the current in the primary
An air-track glider attached to a spring oscillates with a period of 1.50s . At t=0s the glider is 5.20cm left of the equilibrium position, calculate the phase constant
A 1000.0kg car experiences a net force of 9500N while decelerating from 30.0m/s to 23.3m/s. How far does it travel while slowing down
A 110 g copper bowl contains 130 g of water, both at 24.0°C. A very hot 370 g copper cylinder is dropped into the water, causing the water to boil, How much energy (in calories) is transferred to the water as heat
Two cars collide at an intersection. Car A with a mass of 1800kg, is going from west to east, while car B of mass 1400kg, How fast was car A going just before the collision
After the Sun exhausts its nuclear fuel, its ultimate fate will be to collapse to a white dwarf state. Calculate the average density of the white dwarf
A 91 g arrow is fired from a bow whose string exerts an average force of 115 N on the arrow over a distance of 78 cm. Illustrate what is the speed of the arrow as it leaves the bow?
The energy imparted to an electron as it moves through a potential of magnitude V is eV, where e is the charge on an electron. How do you find theoretical value for the slope of your line
A man is riding on a flatcar travelling at a constant speed of 9.10. He wishes to throw a ball through a stationary hoop 4.90 above the height of his hands in such a manner that the ball will move horizontally as it passes through the hoop.
Say you have a piston falling in a cylinder filled with water. The water is plumbed from the bottom of the cylinder to the top, What would the kinetic energy be at the end of a 20m descent
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