An interplanetary space probe is flying by Jupiter on its way to the Oort Cloud. The gravity of the sun is pulling it downward with a force of 631 N. Jupiter is simultaneously pulling the probe sideways with a force of 255 N. What is the net force acting on the space probe?

680.6 N

Explanation:

The net force here is the resultant force. Taking that the two given forces act perpendicular to each other then the resultant is the hypotenuse. Therefore, where d is the magnitude of downward force and s is the magnitude of the sideways force. Substituting 631 N for downward force and 255 N for sideways force then

Therefore, the magnitude of net force is equivalent to 680. 6 N

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.