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A particle of mass 2kg has the position vector r=(4t-8)i+(2t^2-3)j where t>0 or t=0 of the components are in meters.
i) What is the linear momentum of the particle at some time t?
ii) What is the direction of the particle at time t=2?
iii) What is the magnitude in kgm^2/s of the angular momentum at time t=2?
Only about 5 % of the energy in the universe is composed of baryonic matter. Estimate the density of dark matter in the universe
A certain type of laser emits light that has a frequency of 6.0 × 1014 Hz. The light, however, occurs as a series of short pulses, each lasting for a time of 2.8 × 10-11 s. How many wavelengths are there in one pulse
What is the velocity of a beam of electrons that go undeflected when passing through perpendicular electric and magnetic fields of magnitude 8.8 x 10^3 V/m and 3.5 x 10^-3T respectively
Two long parallel wires carry currents of 3.31 A and 6.17 A. The magnitude of the force per unit length acting on each wire is 3.93 × 10-5 N/m. Discover the separation distance of the wires expressed in millimetres.
Transform to a new coordinate system (having the center of mass as one of the coordinates), so that one can readily solve for the energy eigenvalues and the corresponding eigenfunctions explicitly.
Consider a cell phone that emits electromagnetic radiation with a frequency of 1.0 GHz and with a power of 70 W. find the electric field amplitude at your ear as you use the phone
What is the magnitude of the electric force of attraction between an iron nucleus (q=+26e) and its innermost electron if the distance between them is 1.5 x 10^-12m
an exoplanet of mass 5 times the mass of jupiter and 3 jupiter radii orbits a star identical to the sun at a distance
Illustrate what is the horizontal component of the superhero’s displacement? Draw the vectors to scale on a graph to determine the answer.
a horizontal force of 750 n is needed to overcome the force of static friction between a level floor and a 250 kg
A sphere of radius R has a radius dependent charge density ρ = B . r3 in terms of R and B. Calculate the potential as a function of r from the center of the sphere.
on a hot day a house is kept cool by an air conditioner. The outside temperature is 32 degrees celsius and the inside temperature is 21 degree celsius. what is the mechanical power that it requires to hold the inside temperature constant
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