Ablock of mass m = 10.5 kg rests on an inclined plane with a coefficient of static friction of u0.195 between the block and the plane. the inclined plane is l 6.1 m long and it has a height of h 3.9 m at its tallest point otheexpcrtta. com 20% part (a) what angle, θ in degrees. does the plane make with respect to the horizontal? grade summarv deductions potential 0% 100% cancel sqit sin0 sinh0 submissions attempts remaining: 12 (500 per attempt) detailed view s1 -sinh0 cosh0 tanh0cotanh end degrees radians deli clear submit hint i give up! hints: 1% deduction per hint. hints remaining: 2 feedback: deduction per feedback. 20% part (b) what is the magnitude of the normal force, fy in newtons, that acts on the block? 20% part (c) what is the component of the force of gravity along the plane. fgx in newtons? 20% part d) write an expression in terms of the mass m. the coefficient of static rictionus and the gravitational constant g or the magnitude of the force due to static friction, fs, just before the block begins to slide 20% part (e) will the block slide?

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

The particle in a two-dimensional well is a useful model for the motion of electrons around the indole ring (3), the conjugated cycle found in the side chain of tryptophan. we may regard indole as a rectangle with sides of length 280 pm and 450 pm, with 10 electrons in the conjugated p system. as in case study 9.1, we assume that in the ground state of the molecule each quantized level is occupied by two electrons. (a) calculate the energy of an electron in the highest occupied level. (b) calculate the frequency of radiation that can induce a transition between the highest occupied and lowest unoccupied levels. 9.27 electrons around the porphine ring (4), the conjugated macrocycle that forms the structural basis of the heme group and the chlorophylls. we may treat the group as a circular ring of radius 440 pm, with 20 electrons in the conjugated system moving along the perimeter of the ring. as in exercise 9.26, assume that in the ground state of the molecule quantized each level is occupied by two electrons. (a) calculate the energy and angular momentum of an electron in the highest occupied level. (b) calculate the frequency of radiation that can induce a transition between the highest occupied and lowest unoccupied levels.

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