Mark saxby is set to kick the field goal to win the state championship for olathe east. he is 47m away from the goalposts, and he kicks the ball at a speed of 25.0m/s at an angle of 30.0°. if the cross bar on the goalposts is 3.00m above the ground, will the ball make it over the cross bar? and if it does make it, by how much will it clear?

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