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The maximum acceleration of a car while towing second twice its mass compared to with no in tow is?

Here's how to break down this problem:

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.

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