A 75kg man climbs the stairs to the fifth floor of a building. A total hieght of 16m. His potential energy has increased by

The potential energy of the man in the fifth floor of the building has increased by 11760J.

Given the data in the question;

Potential energy;

Potential energy is the energy possessed by a particle due to its position relative to other particles. It is expressed as:

Where m is mass of the particle, h is its height above ground level and g is acceleration due to gravity( ).

We substitute our values into the equation

Therefore, the potential energy of the man in the fifth floor of the building has increased by 11760J.

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11760 joules

Explanation:

Given

Mass (m) = 75kg

Height (h) = 16m

Required

Determine the increment in potential energy (PE)

This is calculated as thus:

PE = mgh

Where g = 9.8m/s²

Substitute values for m, g and h.

P.E = 75 * 9.8 * 16

P.E = 11760 joules

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.