A 2.0 N weight trolley moves in the horizontal part of a chute without friction at a speed of 3.0 m / s. Classify the following statements as vendors or false, correcting these: a) The cart reaches a height h = 45 cm on the way up.

b) The kinetic energy variation of the cart, until it stops, is 0.90J.

c) The variation in the gravitational potential energy of the Cart + Earth system, until the cart stops, is 0.90 J.

d) The weight of the cart performs a work of 0.90 J from A to C.

this allows people to make the best decision or pursue the best option. when alternatives are weighed using their advantages and disadvantages, the option whose disadvantages outweigh the advantages (based on a qualitative or quantitative analysis) are shunned while those whose advantages outweigh their disadvantages are pursued.  

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.

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.