A softball pitcher rotates a 0.250 kg ball around a vertical circular path of radius 0.5 m before releasing it. The pitcher exerts a 33.0 N force directed parallel to the motion of the ball around the complete circular path. The speed of the ball at the top of the circle is 13.0 m/s. If the ball is released at the bottom of the circle, what is its speed upon release

The value is  

Explanation:

From the question we are told that

   The  mass of the ball is

    The radius of the circle is  

    The force exerted is  

    The  speed of the ball on top of the circle is  

Gnerally from the law of energy conservation we have that

Here PE  is the potential energy of the pitcher which is mathematically represented as

=>    

=>  

And  W  is the workdone by the force applied which is mathematically represented as

=>    

=>    

And   is the change in kinetic energy which is mathematically represented as

=>    

=>    

=>    

So

=>    

hi there!

your question asks at which segment does freezing occur.

since we're talking about water, the freezing point of water will be 32 degrees fahrenheit or below.

hope this ! ~

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.