The forces acting on a sailboat are 390 n north and 180 n east. if the boat (including crew) has a mass of 270 kg, what are the magnitude and direction of its acceleration?

Step by Step Solution :

Given :

Forces acting on a sailboat are 390N north and 180N east.

Mass = 270 kg

Calculation :

Resultant force is given by,

We know that

F = ma

Therefore magnitude of acceleration is

Now, for direction of acceleration

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are there answer choices to this question? this seems like a question where you have options to choose from.

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.