Calculating Ball's Initial Speed: All Gravitational Energy

In summary: If this is just a one-off problem, then the kinematic equations are the way to go. But if you're learning conservation of energy and this is a homework problem, then you obviously need to use that concept.
  • #1
jamescutmore
1
0
Acceleration -- all the energy is gravitational what speed was the ball thrown at?

Homework Statement


A ball is thrown up in the air and reaches a height of 2.2m assuming that all the energy is gravitational what speed was the ball thrown at.


Homework Equations


I cannot find the equation


The Attempt at a Solution


??any help would be appreciated
 
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  • #3


1. Well you are given the height it reaches. You also know the acceleration due to gravity. Finally you know the velocity of the ball at maximum height. So you know Smax, a and v. You want to find u (the initial velocity)

2. You must use the relevant 'SUVAT' equation.
You can use v^2=u^2 +2as
..to rearrange to find u.

Hope that helps.
p.s. Just to let you know, I'm from the UK, am not sure if they teach it the same in the US assuming you are in the US? but i suspect this applies universally.
 
  • #4
welcome to pf!

hi james! welcome to pf! :smile:

as a matter of interest: since this is an energy question, why have you titled it "acceleration" ? :confused:

anyway, show us your energy equations :smile:
 
  • #5


He doesn't know about conservation of energy yet. This is a week-one physics problem meant to be solved using the one-dimensional motion equations.

The equations you're looking for are at the bottom of this page.

http://www.physicsclassroom.com/class/1dkin/u1l6a.cfm

edit: then again, the question does mention energy so maybe I'm wrong.
 
  • #6


This is a very poorly worded question, because it doesn't tell you from what height the ball is thrown. It could have started at -713 meters for example. Most people will presuppose a beginning point of 0 meters. But you have to be careful making that presupposition since it could result in a wrong answer in other problems (whereas in this problem is just makes it solvable). You should probably explicitly state the assumption that the ball begins at 0 meters.

And it's been brought up, but let me ask you directly: What are you learning in your class right now (or in what context are you working this problem [it may not be for a class])? Depending on that context, the approach to help you changes. As others have said, it matters if you (should) know conservation of energy or if you're working with kinematic equations.
 

FAQ: Calculating Ball's Initial Speed: All Gravitational Energy

What is the formula for calculating a ball's initial speed using gravitational energy?

The formula for calculating a ball's initial speed using gravitational energy is: v = √(2gh), where v is the initial speed, g is the acceleration due to gravity, and h is the height from which the ball is dropped.

How do I determine the acceleration due to gravity?

The acceleration due to gravity, denoted by g, can vary depending on the location on Earth. However, for most calculations, it is commonly approximated to be 9.8 m/s².

Can I use this formula for objects other than a ball?

Yes, this formula can be used for any object that is dropped from a height and experiences only the force of gravity. However, it is important to note that air resistance and other external factors may affect the final outcome.

What is the significance of using gravitational energy in this calculation?

Using gravitational energy allows us to determine the initial speed of the ball without taking into account the mass of the ball. This simplifies the calculation and allows for a more accurate result.

What are some potential sources of error when using this formula?

Some potential sources of error when using this formula include air resistance, which can slow down the ball, and measurement errors in the height from which the ball is dropped. Additionally, this formula assumes that the ball is dropped from a stationary position, so any initial velocity of the ball may also affect the final result.

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