You are pushing a heavy box across a rough floor. when you are initially pushing the box and it is accelerating, (a) you exert a force on the box, but the box does not exert a force on you. (b) the box is so heavy it exerts a force on you, but you do not exert a force on the box. (c) the force you exert on the box is greater than the force of the box pushing back on you. (d) the force you exert on the box is equal to the force of the box pushing back on you. (e) the force that the box exerts on you is greater than the force you exert on the box.

The answer is C. If the box is accelerating, that means that the amount of force you are exerting is greater than the force of the box.

(c) the force you exert on the box is greater than the force of the box pushing back on you.

Explanation:

When a force is exerted on an object such that it starts accelerating without any change in the state of rest of the source of the force that always means that the reaction force of the object on the source is less than the action force.

This condition is in accordance with Newton's second law and Newton's third law.

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.