A 68 kg person rides at a speed of 7.2 m/s on a bicycle that hasa mass of 8.1 kg. Each wheel is a hoop of radius 0.33 m and mass 1.4 kg (the mass of the wheels is included in the mass of the bicycle, and I= MR2for a hoop). (a)(2 points) At what angular speed are the wheels rotating? (b)(6 points) What is the total kinetic energy of the bicycle and rider? (c)(2 points) Assuming any friction is negligeable, if the cyclist coasts up a ramp (with an initial speed of 7.2 m/s), what vertical distance will the center of mass of the bicycle-rider system rise before the bike comes to rest?

(4ed) 10.1 The turntable of a record player rotates at a rate of 33 1/3 rev/min (rpm) and takes 60.0 s to come to rest when switched off.

Calculate (a) the magnitude of its angular acceleration

and (b) the number of revolutions it makes before coming to rest.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.

as we know our atmosphere or air have different levels. every level has other gasses, and every gas has another permeability. when the light comes from lower permeability to higher permeability, it changes its direction. so that means that when the light comes from the moon to the earth, it changes it's direction many more times. it basically means that the shape of the light part of the moon is changed on the earth.

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