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1. **Importance of Lifting the Track at One End**
Lifting one end of the track creates an incline, allowing gravity to pull the cart down the track, providing a force that makes it accelerate. This setup reduces friction compared to a flat surface, ensuring the cart moves smoothly.
2. **Relationship Between Mass and Acceleration**
The more mass an object has, the less it accelerates when the same force is applied. Mathematically, acceleration is inversely proportional to mass, so \( a = \frac{F}{m} \).
3. **Newton's Second Law of Motion**
Newton's second law states that the force acting on an object is equal to its mass multiplied by its acceleration, written as \( F = ma \).
4. **Measures to Improve/Ensure the Accuracy of the Experiment**
- **Reduce Friction:** Use smooth tracks and clean surfaces to minimize resistance.
- **Accurate Measurements:** Use precise timers and take multiple measurements to average out errors.
Solución
1. **Importance of Lifting the Track at One End**
Lifting one end of the track creates an incline so that gravity provides a component of force along the track. This has two major effects:
- It generates a net force along the direction of the track that causes the cart to accelerate.
- It minimizes frictional effects compared to a horizontal track by ensuring that the motion is predominantly driven by gravity.
2. **Relationship Between Mass and Acceleration**
According to Newton's second law, when the net force is constant, the acceleration of an object is inversely proportional to its mass. This means that if the mass is increased while the net force remains the same, the acceleration will decrease. Formally, if the net force is \( F \), then the acceleration \( a \) is given by
\[
a = \frac{F}{m}.
\]
3. **Newton's Second Law of Motion**
Newton's second law of motion is written as
\[
F = ma,
\]
where \( F \) is the net force acting on an object, \( m \) is its mass, and \( a \) is its acceleration.
4. **Measures to Improve/Ensure the Accuracy of the Experiment**
- **Minimize Friction and Air Resistance:** Use smooth and well-aligned tracks, and ensure that contact surfaces are clean. This reduces unwanted resistive forces that could affect the motion.
- **Accurate Timing and Distance Measurements:** Use calibrated sensors or timers, and take multiple measurements to account for random errors. Data averaging can improve the reliability of the calculated acceleration.
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