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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 .
It takes 1.4×106J of heat to bring a quantity of water from 14 ? C to a boil. What is the mass of the Water
A 4.7-g bullet leaves the muzzle of a rifle with a speed of 334 m/s. What force (assumed constant) is exerted on the bullet
A solid lead sphere of volume 0.40m^3, dropped in the ocean, sinks to a depth of2.0*10^3 (about 1 mile), What is the change in volume of the sphere
If a car travelling at 63 km/h will skid 18 m when its brakes lock, how far will it skid if it is travelling at 150 km/h while its brakes lock.
The current density inside a long, solid, cylindrical wire of radius a is in the direction of the central axis and its magnitude varies with radial distance r from the axis according to J = br2, where b is a positive constant.
The magnitude of the force of friction acting on the block between A and is 1.2N and points A and B are 0.5 m apart. If the kinectic energies of the block at A and B are 4J and 5.6 J, respectively, how much work is done on the block by the force p..
Three point charges are arranged on a line. Charge q3 = +5.00 nC and is at the origin. Charge q2 = -3.50 nC and is at x = 5.00cm . Charge q1 is at x = 2.00cm.
A metal container, which has a mass of 8.8 kg contains 15.1 kg of water. A 2.4-kg piece of the same metal, initially at a temperature of 180.0°C, Calculate the specific heat of the metal
q1. a 36.0 kg uniform beam is attached to a wall with the hinge while its far end is supported by a cable such that the
A particular organ pipe can resonate at 231 Hz, 385 Hz, and 539 Hz, but not at any other frequencies in between. Is it an open or a closed pipe? What is the fundamental frequency of this pipe.
A rectangular coil with 22 windings carries a current of 2 mA flowing in the counterclockwise direction. It has two sides that are parallel to they-axis and have length8cm and two sides that are parallel to thex-axis and have length5cm. A uniform mag..
A large log is located on the icy surface of a frozen pond; for this problem, the ice may be assumed to be a frictionless surface. find the total horizontal force acting on the log
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