Find the de Broglie wavelength λλlambda for an electron moving at a speed of 1.00×106m/s1.00×106m/s. (Note that this speed is low enough that the classical momentum formula p=mvp=mv is still valid.) Recall that the mass of an electron is me=9.11×10−31kgme=9.11×10−31kg, and Planck's constant is h=6.626×10−34J⋅sh=6.626×10−34J⋅s.

Light from two different sources are incident upon the same side of a polarizing filter. light from one source is polarized with total intensity ip, while light from the other source is unpolarized with total intensity iu. as you rotate the polarizing filter through 360 degrees, the intensity of the transmitted light on the other side varies by a factor of 9. what is the relative intensity of the initial polarized source to the unpolarized source, or ip/iu?

Industrial processes often require the damping of vibrations. consider a workbench that uses four large ideal springs in place of traditional legs, with each spring supporting one corner of the workbench and exhibiting a force constant of 47500 n/m. this workbench is used when creating products that involve highly unstable chemicals. according to specifications, the acceleration of the manufacturing equipment must be held to less than 22.3 m/s2 for the manufacturing process to proceed safely. the amplitude of vibrations are expected to remain under 0.622 mm throughout. given that the workbench and maufacturing equipment combine to 6.05 kg, find the maximum acceleration expected of the equipment and workbench. (ignore the mass of the springs.)

How much heat is needed to raise the temperature of 5g of water by 16°c?