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Sagot :
Answer:
The Relationship Between Force, Mass, and Acceleration
1. Newton's Second Law of Motion states that the force (F) acting on an object is directly proportional to the object's acceleration (a), and inversely proportional to the object's mass (m). This is expressed mathematically as:
F = m * a
2. This means that:
- The more force you apply to an object, the greater the acceleration it will experience, if the mass remains constant.
- The greater the mass of an object, the less it will accelerate when the same force is applied, if the force remains constant.
- Conversely, the less massive an object is, the more it will accelerate when the same force is applied.
Some key points:
- If the force on an object is zero, the acceleration will also be zero, regardless of the object's mass.
- If the mass of an object is increased while the force remains the same, the acceleration will decrease proportionally.
- If the force on an object is increased while the mass remains the same, the acceleration will increase proportionally.
In summary, the amount of force needed to accelerate an object is directly proportional to the object's mass - the more massive the object, the more force is required to achieve the same acceleration. This relationship is described by Newton's Second Law of Motion.
NEWTON'S SECOND LAW OF MOTION
The relationship between the amount of force applied to an object and the resulting change in its motion is described by Newton's Second Law of Motion. This law states that the acceleration of an object depends on its mass and the force applied to it. Mathematically, it can be expressed as:
[tex] \sf{f = ma}[/tex]
Where:
- F is the force applied,
- m is the mass of the object,
- a is the acceleration of the object.
From this equation, we can derive a few key points about the relationship:
1. Direct Proportionality with Force:
The force applied to an object determines how much it accelerates (or decelerates, if a force opposes its motion). If you apply a greater force to an object, it will acceleràte more (or decelerate less) compared to when a smaller force is applied.
2. Inverse Proportionality with Mass:
The mass of an object resists changes in its motion. A heavier object (larger mass (m)) requires more force to achieve the same acceleration as a lighter object (smaller mass (m). Therefore, acceleration a is inversely proportional to mass m when force F is constant.
3. Change in Motion:
The change in motion, or acceleration a, reflects how much the object's velocity changes over time. A larger force will cause a greater change in velocity (more acceleration), whereas a smaller force will cause a smaller change in velocity.
ILLUSTRATION:
To illustrate with an example: if you push a shopping cart (object) with more force, it accelerates faster. If you push the same cart with less force, it accelerates slower. Similarly, if you push a heavier cart with the same force, it accelerates slower compared to a lighter cart pushed with the same force.
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