1. a job is done slowly, and an identical job is done quickly. which of the following is true?
a. they require the same amount of force, but different amounts of work.
b. they require the same amount of work, but different amounts of power.
c. they require the same amounts of power, but different amounts of work.
d. they require the same amounts of work, but different amounts of energy.

A job is done slowly and an identical job is done quickly then they require same amount of work, but different amounts of power.

Option B

Explanation:

Work done is the amount of force required to displace an object from its original position. So as force depends on mass of the object. The work will remain constant for doing a particular job related to same object. But power defines the work done per unit time.

So if power is increased for a given work means the time required to do that work is reduced. So if a particular work has to be performed on a same object then by manipulating the power we can change the time taken to complete that job.

So in this case for the identical job, one is completed slowly while other has been done quickly. This indicates that they required same amount of work as the kind of job is same but different amount of power depending on which the work is done fast or slowly.

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.