Awoman walks into a carpet store wearing high-heeled shoes with a circular heel of diameter 0.987 cm. to the dismay of the store manager, she balances on one heel on an expensive carpet sample. if she has a mass of 53.0 kg, determine the pressure she exerts on the carpet sample.

To solve this problem it is necessary to apply the concepts related to the Pressure which describes the amount of Force made on an area unit.

Its mathematical expression can be defined as

Where,

F= Force

A = Area

Our values are given as

With the diameter we can find the Area of the circular heel, that is

To find the force by weight we need to apply the Newton's second Law

Finally the pressure would be

Therefore the pressure that she exerts on the carpet sample is 6.788Mpa

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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.