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A 205 n box is placed on a frictionless inclined plane that makes a 24.0° angle with the horizontal.

1 Answer

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Final answer:

The acceleration parallel to the incline can be determined using a formula that takes into account the angle of the incline and the coefficient of friction. In this case, since the incline is frictionless, the acceleration is simply equal to g · sin θ.

Step-by-step explanation:

The acceleration parallel to the incline can be determined using the formula:

acceleration = g · sin θ - μ · g · cos θ

Where:

acceleration is the acceleration parallel to the incline

g is the acceleration due to gravity (approximately 9.8 m/s²)

θ is the angle of the incline

μ is the coefficient of friction

In this case, since the incline is frictionless, the coefficient of friction is 0. Therefore, the acceleration is simply equal to g · sin θ.

Using this formula, you can calculate the acceleration parallel to the incline when there is 45.0 N of opposing friction.