Questions: Which object has the most gravitational potential energy?
Select the correct answer below:
an airplane in mid-flight
a baseball held by a pitcher
a bird on top of a flagpole
these objects all have the same gravitational potential energy
Transcript text: Which object has the most gravitational potential energy?
Select the correct answer below:
an airplane in mid-flight
a baseball held by a pitcher
a bird on top of a flagpole
these objects all have the same gravitational potential energy
Solution
Solution Steps
Step 1: Understanding Gravitational Potential Energy
Gravitational potential energy (GPE) is the energy an object possesses due to its position in a gravitational field. It is given by the formula:
\[
\text{GPE} = mgh
\]
where \( m \) is the mass of the object, \( g \) is the acceleration due to gravity, and \( h \) is the height of the object above a reference point.
Step 2: Analyzing the Options
To determine which object has the most gravitational potential energy, we need to consider the height \( h \) of each object, assuming the mass \( m \) and gravitational acceleration \( g \) are constant for all objects.
An airplane in mid-flight: Typically at a high altitude, so \( h \) is large.
A baseball held by a pitcher: Held at a relatively low height compared to an airplane.
A bird on top of a flagpole: Higher than a baseball held by a pitcher but much lower than an airplane in mid-flight.
Step 3: Comparing Heights
Given the typical scenarios:
An airplane in mid-flight is at a much greater height than both a baseball held by a pitcher and a bird on top of a flagpole.
Therefore, the airplane will have the highest gravitational potential energy due to its significantly greater height.
Final Answer
The object with the most gravitational potential energy is the airplane in mid-flight.