The image you've uploaded is a worksheet about the
Conservation of Energy. Let's go through the content and solve the problem step by step.
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🔹 Understanding the Worksheet
#### 1.
Main Concept: Conservation of Energy
> *"The law of conservation of energy states that energy can't be created or destroyed, it can only be transformed from one form of energy into another."*
This means:
- Total energy in a
closed (isolated) system remains constant.
- Energy changes forms (e.g., potential → kinetic), but the total amount stays the same.
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#### 2.
Key Terms Defined
-
Isolated System: A collection of objects that interact with each other but
do not exchange energy with their surroundings.
- Example: A ball rolling down a ramp without friction or air resistance.
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Energy Types Mentioned:
-
Ek = Kinetic Energy (energy of motion)
-
Ep = Potential Energy (stored energy, e.g., gravitational)
-
Eh = Likely meant to be
Thermal Energy (heat), though "Eh" is not standard notation. It may stand for "Heat energy" or "Internal energy."
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#### 3.
Example Problem
> *"Before and after the ball has rolled down the ramp, the total energy in the system is the ________."*
We are to fill in the blank.
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🔍 Analyzing the Example
Let’s consider what happens:
1.
At the top of the ramp:
- The ball has
high gravitational potential energy (Ep).
- It has
low or zero kinetic energy (Ek) (if at rest).
- Total energy = Ep + Ek
2.
As it rolls down:
- Potential energy decreases.
- Kinetic energy increases (ball speeds up).
- But if no energy is lost to friction/air resistance (ideal case),
total mechanical energy (Ep + Ek) remains constant.
3.
At the bottom:
- Potential energy is minimal.
- Kinetic energy is maximum.
- Total energy = Ek + Ep (same as before)
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✔ Answer to the Blank
> *"Before and after the ball has rolled down the ramp, the total energy in the system is the
same."*
Or more precisely:
> *"...the total energy in the system is the
same."*
Because energy is conserved in an isolated system.
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🧠 Explanation of Why This Happens
- In an
ideal isolated system, there is
no external work done and
no energy loss to heat or sound.
- So, as the ball rolls down:
-
Potential energy → Kinetic energy
- But
total energy = Ep + Ek = constant
Even if some energy is converted to
thermal energy (Eh) due to friction, in this worksheet context (especially since it's educational), we're likely assuming an ideal scenario where
only mechanical energy is considered.
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💡 Final Answer:
>
"Before and after the ball has rolled down the ramp, the total energy in the system is the same."
✔ This demonstrates the
law of conservation of energy.
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Let me know if you'd like help filling out the rest of the worksheet or creating a diagram!
Parent Tip: Review the logic above to help your child master the concept of conservation of energy worksheet.
