A block of mass 5 kg is sliding down a frictionless incline of angle 30°. What is the acceleration of the block? (2022)
Practice Questions
1 question
Q1
A block of mass 5 kg is sliding down a frictionless incline of angle 30°. What is the acceleration of the block? (2022)
4.9 m/s²
5 m/s²
9.8 m/s²
3.9 m/s²
Acceleration a = g sin(θ) = 9.8 m/s² × sin(30°) = 4.9 m/s².
Questions & Step-by-step Solutions
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Q
Q: A block of mass 5 kg is sliding down a frictionless incline of angle 30°. What is the acceleration of the block? (2022)
Solution: Acceleration a = g sin(θ) = 9.8 m/s² × sin(30°) = 4.9 m/s².
Steps: 7
Step 1: Identify the mass of the block, which is 5 kg.
Step 2: Identify the angle of the incline, which is 30°.
Step 3: Recall the formula for acceleration down a frictionless incline: a = g sin(θ), where g is the acceleration due to gravity (approximately 9.8 m/s²) and θ is the angle of the incline.
Step 4: Substitute the values into the formula: a = 9.8 m/s² × sin(30°).
Step 5: Calculate sin(30°), which is 0.5.
Step 6: Multiply 9.8 m/s² by 0.5 to find the acceleration: a = 9.8 m/s² × 0.5 = 4.9 m/s².
Step 7: Conclude that the acceleration of the block is 4.9 m/s².
