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Answer :
Final answer:
The acceleration of the block sliding down the inclined plane can be calculated using the formula 'a = g * sin(θ)'. However, the calculated acceleration (5.87 m/s²) is not one of the given options. From the options, 5.72 m/s² is closest to the calculated value.
Explanation:
The acceleration of the block is the component of the acceleration due to gravity acting parallel the inclined plane. In this case, the acceleration can be calculated by the formula: a = g * sin(θ), where g is the acceleration due to gravity (9.81 m/s²) and θ is the angle of incline.
When we substitute the given values into the equation a = g * sin(θ), we get a = 9.81 m/s² * sin(36.9 degrees). Solving this gives us the acceleration as 5.87 m/s². However, this is not one of the given options. Hence, there might have been a mistake in the question or the given solutions.
From the given options, 5.72 m/s² is closest to what we calculated. So, there might be a variation in the gravitational acceleration or the angle we used, which are not uncommon in physics problems. But again, this can only be assumed as there might have been a typo.
Lastly, it's important to have a grasp of basic trigonometry and the concepts of friction, normal force, and gravity when solving such problems. It's always a good idea to draw a free-body diagram to visualize the forces acting on an object.
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