Find the work done by the gravitaional force F(x, y,z)=−(GMm)r|r|3 exerted on a particle with mass m from the point (1,0,0) to the point (1,0,5) along a piecewise-smooth curve C. Here r=xi+yj+zk is the vector that connects the mass M (located at the origin) and mass m (moving on the curve C) and G is the Newton's constant. Use the fact that the gravitational field is a conservative field and also use G=1, mass M=6 and m=1. Note that these numbers are not realistic and they are chosen in such a way that your calculations are made easier.

iron would move it is magnetic there is a mag field around the current in the wire

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.

a.   mass number from atomic number