Amarshmallow gun uses a spring to launch marshmallows. the spring has a spring constant of 200 n/m. the marshmallow has a mass of 0.05 kg and when the marshmallow gun is fired straight up into the air, the marshmallow reaches a maximum height of 18 meters. what is the mechanical energy in the system?

8.8 J

Explanation:

The mechanical energy of the marshmallow + gun system is conserved. At the beginning, all the energy is stored in the compressed spring; when the marshmallow is fired, this energy is converted into gravitational potential energy: so the mechanical energy of the system is equal to the gravitational potential energy of the marshmallow when it is at its highest point. Therefore, it is

where

m = 0.05 kg is the mass of the marshmallow

g = 9.8 m/s^2 is the acceleration due to gravity

h = 18 m is the maximum height

Substituting, we find

what type of charge does it have? negative

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.