概念を理解する
* ニュートンの第二法則: F =ma (Force =mass x acceleration)
* 摩擦力: The force opposing motion, which depends on the surface and weight of the object.
Assumptions
* We'll assume the car's engine produces a constant force.
* We'll ignore air resistance for simplicity.
説明
1. No Tow: When the car is not towing anything, its acceleration is determined by the force of the engine and the force of friction. Let's call this acceleration 'a'.
2. Towing: When the car is towing a trailer twice its mass, the total mass it's accelerating is three times its own mass (car + trailer). Since the engine force remains constant, the acceleration will be reduced.
3. Applying Newton's Second Law:
* Without towing:F =ma
* With towing:F =3ma' (where 'a'' is the new acceleration)
4. Solving for the Ratio of Accelerations: Since the force is the same in both cases, we can set the equations equal:
* ma =3ma'
* a' =a/3
回答:
The maximum acceleration of the car while towing is one-third the acceleration when it's not towing.