Question

A student left their book on top of a draft table that is inclined at 35 degrees. Find the acceleration of the book as it slides down the table.

Answer 1

To find the acceleration of the book as it slides down the inclined table, we can use the following equation:

a = g * sin(θ)

where:
a = acceleration of the book
g = acceleration due to gravity (approximately 9.81 m/s²)
θ = angle of incline (35 degrees)

First, we need to convert the angle to radians:

θ_rad = 35 * (π / 180) ≈ 0.6109 radians

Now, we can find the acceleration:

a = 9.81 * sin(0.6109) ≈ 9.81 * 0.5736 ≈ 5.62 m/s²

So, the acceleration of the book as it slides down the table is approximately 5.62 m/s².