A rod having a mass of M= 77 grams and a length of d= 36 cm is positioned vertically on a frictionless, horizontal axle passing through its center. The rod is free to rotate about the axle, and the mass of the rod is uniformly distributed. A small cube of clay, of mass m=10 grams , is sliding horizontally on a slick surface at a speed of v0= 2.3 m/s when hits and sticks to the very bottom tip of the rod.

Part AWhat is the spin rate of the clay and rod system immediately after the collision, before the rod-clay unit has had enough time to swing upward by any significant amount?Part BHow much kinetic energy was converted to thermal energy in this collision?Part CAfter the collision, to what maximum angle, measured from vertical, does the rod (with the attached wad of clay) rotate before it momentarily comes to rest?Give the angles in degrees, measured from the vertical.

as technology advances, new experiments often expose problems in accepted theories. c

hope i

-lavira: )

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.

we're given that v₀ = 0 and a = 5.4 m/s². therefore, since v = at + v₀ for constant acceleration the equation for velocity is

after 28s,

m/s

which i would round to 150 m/s as my final answer