A golf player hits a 0.045 kg golf ball that is initially at rest, changing its momentum by 4.2 kg times m/., What is the final speed of the golf ball?

v₂ = 93.33 [m/s]

Explanation:

In order to solve this problem, we must apply the definition of momentum and amount of movement, which can be calculated by means of the following expression.

where:

P = momentum [kg*m/s]

m = mass [kg]

v = velocity [m/s]

The amount of movement before and after the impact should be analyzed.

where:

m₁ = mass of the ball = 0.045 [kg]

v₁ = velocity of the ball before the hit = 0

Imp₁₋₂ = Impulse [kg*m/s]

v₂ = velocity after the hit [m/s]

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.

scientific laws are the result of testing theories and proving them to be facts.