If a force of 300 N is exerted on an object at a height of 50 m, what is the potential energy?
Understand the Problem
The question is asking us to calculate the potential energy of an object given a force and a height. The potential energy can be calculated using the formula PE = m * g * h, where g is the acceleration due to gravity. However, since the force is provided instead of mass, we can use the force directly as potential energy is also equal to the work done in lifting an object against gravity.
Answer
$PE = F \cdot h$
Answer for screen readers
The potential energy is given by the formula $$ PE = F \cdot h $$, where $F$ is the force and $h$ is the height.
Steps to Solve
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Identify the given values The problem provides force ($F$) and height ($h$). The acceleration due to gravity ($g$) is typically $9.81 , \text{m/s}^2$ on Earth. Note these values are essential for the calculations.
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Write down the potential energy formula The potential energy ($PE$) can be calculated directly using the relationship: $$ PE = F \cdot h $$ This works because the work done (and thus potential energy) is equal to the force applied over a distance, which is the height in this case.
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Substitute the values into the formula Once you have the values for force and height, substitute them into the potential energy formula. For example: $$ PE = F \cdot h $$
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Calculate the potential energy Carry out the multiplication of force and height to find the potential energy.
The potential energy is given by the formula $$ PE = F \cdot h $$, where $F$ is the force and $h$ is the height.
More Information
Potential energy represents the energy stored in an object due to its position in a gravitational field. This energy can be transformed into kinetic energy if the object is allowed to fall.
Tips
- Forgetting to use the correct value of gravity if mass is considered.
- Confusing potential energy with kinetic energy, so always make sure to use the right context.
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