A 2 kg block is sliding down a frictionless incline of 30 degrees. What is the a

A 2 kg block is sliding down a frictionless incline of 30 degrees. What is the acceleration of the block?

A 2 kg block is sliding down a frictionless incline of 30 degrees. What is the acceleration of the block?

Step 1: Identify the mass of the block, which is 2 kg. This information is not needed for calculating acceleration but is part of the problem.
Step 2: Identify the angle of the incline, which is 30 degrees.
Step 3: Recall the acceleration due to gravity, g, which is approximately 9.8 m/s².
Step 4: Use the formula for acceleration down an incline: a = g * sin(θ).
Step 5: Calculate sin(30°). The sine of 30 degrees is 0.5.
Step 6: Substitute the values into the formula: a = 9.8 m/s² * 0.5.
Step 7: Perform the multiplication: 9.8 * 0.5 = 4.9 m/s².
Step 8: Conclude that the acceleration of the block is 4.9 m/s².

Inclined Plane Dynamics – Understanding how gravity affects an object sliding down an incline, specifically calculating acceleration using the angle of the incline.
Trigonometric Functions – Applying sine function to resolve gravitational force components along the incline.
Newton's Second Law – Using the relationship between force, mass, and acceleration to determine the motion of the block.