The motor is lifting the 6 kg box at a constant velocity. How much work is done on the box to lift it 2 m? (Assume no resistance from the pulley.)

117.6 J

Explanation:

We use the formula for work as force times the distance. The force applied to lift the box at constant speed must equal the weight of the box:

F = m * g = 6 * 9.8 N = 58.8 N

Then we multiply this times the distance the box is moved:

Work = F * d = 58.8 * 2  J = 117.6 J

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.

well clustered together.

points close on a scatter diagram