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1. Explain the notions of mutually exclusive events and a partition of an outcomes set S. How is the partition useful in generating event spaces?
2. Define the concept of a s-field and explain why we need such a concept for the set of all events of interest. Explain why we cannot use the power set as the event space in all cases.
A simple harmonic oscillator is constructed from a spring which is connected to a mass of 0.6 kg. What is the maximum velocity of the mass
A 0.180 kg potato is tied to a string with length 2.60 m, and the other end of the string is tied to a rigid support. The potato is held straight out horizontally from the point of support, with the string pulled taut, and is then released.
When 235/92 U capture a neutron, fission of the new nuclide spontaneously occurs. Three neutrons, 142/56 Ba, and what other particle is produced
One mole of an ideal gas is heated so that T = AP2, where A is a constant and P is the pressure. The temperature changes from T0 to 4T0. Find out the work completed by the gas. (Use the following as necessary: T0, P0, and V0.)
A 25 N force at 60° is required to set a crate into motion on a floor. What is the value of the static friction
A glass plate whose index of refraction is 1.46 is immersed in a liquid. The surface of the glass is inclined at an angle of 34° with the vertical. A horizontal ray in the glass is incident on the interface. The liquid is oil whose index of refractio..
Calculate the energy in kcal used by a 50-kg woman who does 53 deep knee bends in which her center of mass is lowered and raised 0.400 m. (She does work in both directions.) You may assume her efficiency is 20%. kcal
A five kilogram block and a four kilogram block are placed at either end of a compressed spring. what is the velocity of the other block
A gas of 1.50×10^20 atoms or molecules has 0.900 J of thermal energy. evaluate the temperature of the gas
A proton is traveling to the right at 3.5 x 107 m/s. Find what uniform electric field (magnitude and direction) is needed to cause it to travel to the left at the same speed after one second
When a certain paramagnetic material is placed in an external magnetic field of 1.50T , The magnetic permeability of this material is
Consider a heavy particle of mass m is place at the top (on the outside side, not inside) of a vertical hoop of radius R and mass M. find the location of the hoop center X as a function of angle theta of the falling particle
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