Some cats can be trained to jump from one location to another and perform other tricks. kit the cat is going to jump through a hoop. he begins on a wicker cabinet at a height of 1.710 m above the floor and jumps through the center of a vertical hoop, reaching a peak height 3.115 m above the floor. (assume the center of the hoop is at the peak height of the jump. assume that +x axis is in the direction of the hoop from the cabinet and +y axis is up. assume g = 9.81 m/s2.)
(a) with what initial velocity did kit leave the cabinet if the hoop is at a horizontal distance of 1.569 m from the cabinet? (express your answer in vector form. give your answer to at least two decimal places for each vector component.)
(b) if kit lands on a bed at a horizontal distance of 3.591 m from the cabinet, how high above the ground is the bed?

Which term best describes the phrase “something that happens”?

To travel at constant speed, a car engine provides 24kw of useful power. the driving force on the car is 600n. at what speed does it travel?

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.