The potential energy of an object attached to a spring is 2.60 J at a location where the kinetic energy is 1.40 J. If the amplitude of the simple harmonic motion is 16.0 cm, calculate the spring constant and the magnitude of the largest force spring, max that the object experiences.

= Nm

spring, max= N

This is the equation for elastic potential energy, where U is potential energy, x is the displacement of the end of the spring, and k is the spring constant. 

 U = (1/2)kx^2 

 U = (1/2)(5.3)(3.62-2.60)^2 

 U =  2.75706 J

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Explanation:

0.55x745.7j and a calculator

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.