A block of mass 2 kg is sliding down a frictionless incline of angle 30 degrees.

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

Options:

Correct Answer: 4.9 m/s²

Solution:

The acceleration a = g * sin(θ) = 9.8 * sin(30°) = 9.8 * 0.5 = 4.9 m/s².

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

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

Correct Answer: 4.9 m/s²

Step 1: Identify the mass of the block, which is 2 kg.
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 on an incline: a = g * sin(θ).
Step 5: Calculate sin(30°). The value of sin(30°) is 0.5.
Step 6: Substitute the values into the formula: a = 9.8 * sin(30°) = 9.8 * 0.5.
Step 7: Perform the multiplication: 9.8 * 0.5 = 4.9.
Step 8: Conclude that the acceleration of the block is 4.9 m/s².

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