10. What is the a) Period and b) frequency of a mass spring system using a 12 kg mass and a spring with a k value of 2200N/m?

Part a)

Time period of spring block system is

Part b)

Frequency of spring block system is

Explanation:

As we know that the time period of spring mass system is given as

now we have

M = 12 kg

k = 2200 N/m

now we have

Part b)

As we know that time period of spring block system is inversely dependent on the frequency

so we have

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.

c) up

hope this