Potential energy and conservation of energy problem

In summary, The mechanical energy dissipated by air drag when an outfielder throws a baseball with an initial speed of 79.0 mi/h and an infielder catches it at the same level with a speed of 65 ft/s is 80.4 ft*lb.
  • #1
magnolia1
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0

Homework Statement



An outfielder throws a baseball with an initial speed of 79.0 mi/h. Just before an infielder catches the ball at the same level, its speed is 65 ft/s. How much of the ball's mechanical energy is dissipated by air drag? (The weight of a baseball is 9 oz.)

Homework Equations



ke=1/2mv2
ug=mgh
Emec = ΔU + ΔK

ANSWER IS: 80.4 ft*lb

The Attempt at a Solution


Converting knowns to metres/second:
79.0 mi/h (0.44704) = 35.32 m/s
65 ft/s (0.3048) = 19.81 m/s

When they say "weight" do they mean
fg=9 oz. = 2.5 N
or
mass= 9 oz. = 0.255 kg

ΔKE=1/2mvf2-1/2mvi2
=1/2(0.255)(19.81)2-1/2(0.255)(35.32)2
=50.0356-159.0565
=-109.02 J

This is where I wasn't sure how to continue..
Any help is appreciated, thanks!
 
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  • #2
hi magnolia1! :wink:
magnolia1 said:
(The weight of a baseball is 9 oz.)

When they say "weight" do they mean
fg=9 oz. = 2.5 N
or
mass= 9 oz. = 0.255 kg

in the ft-lb system, the pound (and the ounce) is a force

so "weight" is used instead of mass (and has the g already in it)

(the unit of mass is the slug)

anyway, why have you converted to metres etc when the required answer is in ft-lbs ?? :confused:

start again :smile:
 

1. What is potential energy?

Potential energy is the energy that an object possesses due to its position or configuration. It is stored energy that can be converted into other forms of energy, such as kinetic energy.

2. How is potential energy related to conservation of energy?

Potential energy is a type of energy that can be converted into other forms of energy, such as kinetic energy. According to the law of conservation of energy, energy cannot be created or destroyed, only transformed from one form to another. This means that the amount of potential energy an object has is equal to the amount of kinetic energy it will have when it is released.

3. What are some examples of potential energy?

Some examples of potential energy include a stretched rubber band, a compressed spring, a book on a shelf, and a roller coaster at the top of a hill. In each of these cases, the object has the potential to move or change its position, and therefore has potential energy.

4. How is potential energy calculated?

The formula for potential energy is PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or distance the object is from the ground. The unit for potential energy is joules (J).

5. Can potential energy be converted into other forms of energy?

Yes, potential energy can be converted into other forms of energy, such as kinetic energy or thermal energy. This conversion can happen through various processes, such as a falling object gaining kinetic energy, or a stretched rubber band being released and converting its potential energy into kinetic energy.

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