The spring in a Pinball machine has a spring constant (spring constant = k) of 120 N/m. The mass of the pinball is 0.010 kg. The ball leaves the plunger with a velocity of 0.3 m/s. Assume energy is totally conserved, calculate the spring compression, x, of the spring.

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.

this could be newton#'s law of cooling. the cooling curve is exponential