Abody weighs 1000 lbf when exposed to a standard earth gravity of g=32.174 ft/s^2. a. what is its mass in kg? b. what is its weight in n if on moon (gmoon = 1.62 m/s^2)? c. how fast will it accelerate if under a force of 400 lbf on moon and on the earth in m/s.

Answer

given,

weight = 1000 lbf

g = 32.174 ft/s²

mass =

m = 31 slug

1 slug = 14.593 kg

m = 31 x 14.593

m = 452.383 Kg

b) weight on moon

  W = m g

   W = 452.383 x 1.62

   W= 732.86 N

c) we know,

   F = m  a

  400 lbf = 31 slugs x a

  a = 12.90 ft/s²

1 ft = 0.304 m

  a = 3.92 m/s²

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.

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