Apolice officer is driving due north at a constant speed of 29 m/s rel- ative to the ground when she notices a truck on an east–west highway ahead of her, driving west at high speed. she finds that the truck’s speed relative to her car is 48 m/s (about 110 mph). (a) sketch the vector trian- gle that shows how the truck’s velocity relative to the ground is related to the police car’s velocity relative to the ground and to the truck’s veloc- ity relative to the police car. the sketch need not be to scale, but the ve- locity vectors should be oriented correctly and bear the appropriate labels. (b) what is the truck’s speed, relative to the ground?

Janelle made a hypothesis bout the uneven temperatures inside her house during winter. she believes that 50% of the ducts are blocked and she plans to investigate. if she wants to prove her hypothesis using scientific processes what should she do next?

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.

State the following: boyle's law and charle's law