You are at the top of the empire state building on the 102nd floor, which is located 373 m above the ground, when your favorite superhero flies over the building parallel to the ground at 70.0% the speed of light. you have never seen your favorite superhero in real life. out of curiosity you calculate her height to be 1.52 . if the superhero landed next to you, how tall would she be when standing?
1.90 m
1.52 m
1.20 m
1.22 m
what is the height of the 102nd floor of the empire state building as measured by the superhero while flying above it?
373 m
298 m
236 m
239 m

Let v1, v2, w be three linearly independent vectors in r 3 . that is, they do not all lie on the same plane. for each of the following (infinite) set of vectors, carefully sketch it in r 3 , and determine whether or not it is a vector space (i.e., a subspace of r 3 ). explain your reasoning

Glass is transparent to visibile light under normal conditions; however, at extremely high intensities, glass will absorb most of the light incident upon it. this works through a process known as multiphoton absorption. in this process, several photons are absorbed at the same time. if very intense light whose photons carry 2ev of energy is shined onto a material with a band gap of 4ev, that light can be absorbed through two-photon absorption, because two photons have the right amount of energy to bridge the band gap. what is the minimum number of photons of 800-nm light that are needed to equal or exceed the band gap of fused silica glass

Arod of some material 0.20 m long elongates 0.20 mm on heating from 21 to 120°c. determine the value of the linear coefficient of thermal expansion [in (degrees c)^-1] for this material.