You push a cart with mass 30 kg forward, giving it an acceleration of 5 m/s how much force did you apply?

The force apply is 150 N.

Explanation:

The force applied can be found through Newton's second law:

(1)  

Where F is the force, m is the mass and a is the acceleration.

Replacing all the values in equation 1 it is gotten:

But 1N =

Hence, the force applied is 150 N.

Key term:

1N: 1 Newton

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.