A small section of a roller coaster consists of two hills and two dips. Three roller coaster cars (200 kg each) were lifted to the top of a hill that is 22 meters high. (a) How much work was done by the lift motor to get the cars to the top of the first hill (point B )?

(b) How much total mechanical energy does the car have at the top of the first hill (point B ) if it temporarily paused before it descends to point C ?

(c) What is the maximum speed that the coaster cars can attain at point C ?

(d) What is the net force on a 100 N passenger at point C ?

(e) What will be the net force on the same 100 N passenger at point D ?

(f) Will the cars maintain contact with the track at the top of the 14 meter tall second hill? Explain.

(g) What would be the minimum height of hill two (point D ) for the passenger in the cars to just maintain contact with the seat?

(h) What would be the g-force on the passenger at point D?

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.

Find v(t), given acceleration a(t)=7j and initial velocity v(0)=k

The charge on a charged sphere is: a)concentrated at its centerb)distributed uniformly throughout its volumec)clustered on its centerd)distributed uniformly over its surface