Two wires run from the top of a pole 2.6 m tall that supports a volleyball net. the two wires are anchored to the ground 2m apart, and each is 2m from the pole. the tension in each wire is 115n. what is the tension in the net, assumed horizontal and attached at the top of the pole?

Explanation:

As per the given figure we can find the angle of each wire with the given pole

so we have

now let the top of the pole is our origin

then we have point on the ground at the base of the string connected is given as

for other wire we have

now unit vector along the length of the string is given as

,

now tension in two threads is given as

total tension in the thread

now horizontal component of tension is given as

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.