find the angle between two forces of magnitude 27N and 30N if the magnitude of the resultant of the two force is 8N

Explanation:

Resultant of two forces, F = 8 N

It is required to find the angle between two forces. The resultant of two force is given by the :

is the angle between F₁ and F₂

So,

So, the angle between two forces is 165 degrees.

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.

the bal will not change its velocity.