Question 1 (20 points) A 1,000.0 kg-car is traveling on a straight, unbanked, dry asphalt-road. The driver approaches a turn and
turns the car to the left into a circular path. The driver continues to keep the car in a circular path for
some time. From a bird's-eye view, the diameter of this circular path is 300.0 feet.

a) What requirements are necessary for the car to travel with uniform circular motion? Explain.

b) A passenger in the car feels as though they are being pushed out. Describe what type of force this is.

c) Calculate the maximum velocity that the car can safely travel so that there is no slippage between
the rubber tires and the road as the driver navigates this circular path.

d) Would it be possible to slope the road such that there is less reliance on the friction between the tires
and the road? Explain.

e) If the car is now traveling along in a circular path on a sloped road, determine the angle of slope
necessary so that the requirement of part d is met. Make sure to sketch a free-body diagram of the
car and show all calculations.

f) If an external force, such as a collision with another vehicle is present, is the car still moving with
uniform circular motion? Explain.

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.

Which type of reaction is shown in this energy diagram ?

You have two photos of a person walking. one shows the person at the corner of third and main streets, the other shows the person at the corner of tenth and main streets. there are lampposts at every corner in this town, and the first picture shows it to be 10: 32: 00 exactly. the second picture shows it to be 10: 49: 30. you know three facts: (1) all of the clocks are synchronized; (2) there are exactly 12 equal-sized blocks per kilometer in this town; and (3) the streets that cross main in this area are numbered consecutively, with no interruptions. what is the person’s average speed in kilometers per hour?