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The da Vinci Code Leonardo da Vind (1452−1519) is credited with being the first to perform quantitative experiments on friction, though his results weren't known until centuries later, due in part to the secret code (mirror writing) he used in his notebooks. Leonardo would place a block of wood on an inclined plane and measure the angle at which the block begins to slide. He reports that the coefficient of static friction was 0.25 in his experiments. At what angle did Leonardo's blocks begin to slide?

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Final answer:

The angle at which Leonardo's blocks begin to slide is approximately 14.04 degrees.

Step-by-step explanation:

Leonardo da Vinci performed quantitative experiments on friction by placing a block of wood on an inclined plane and measuring the angle at which the block begins to slide. He reported that the coefficient of static friction was 0.25 in his experiments. To find the angle at which the block begins to slide, we can use the equation: tan(theta) = coefficient of static friction. Rearranging this equation, we get: theta = arctan(coefficient of static friction). Substituting the given value of the coefficient of static friction (0.25), we find that the angle at which Leonardo's blocks begin to slide is approximately 14.04 degrees.

User RamRovi
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Final answer:

Leonardo da Vinci's blocks began to slide at an angle of approximately 14.04 degrees.

Step-by-step explanation:

Leonardo da Vinci conducted quantitative experiments on friction, including measuring the angle at which a block of wood begins to slide on an inclined plane. He reported a coefficient of static friction of 0.25 in his experiments. The angle at which the block begins to slide can be determined using the formula:

Angle of slide = arctan(coefficient of static friction)

Therefore, in Leonardo's experiments, the angle at which his blocks began to slide was approximately 14.04 degrees.

User Aleclarson
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