On a smooth incline of angle θ: acceleration down the slope a = g sinθ, normal force N = mg cosθ. Speed after sliding a length L from rest: v = √(2gL sinθ).
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A block slides down a smooth (frictionless) incline of 53° (take sin 53° = 0.8, cos 53° = 0.6). Find its acceleration (in m/s², correct to 2 decimal places). Take g = 10 m/s².
Answer: 8
A 8 kg crate is held at rest on a smooth ramp inclined at 45° by a rope parallel to the ramp. Find the tension in the rope (in N, correct to 2 decimal places). Take g = 10 m/s².
Answer: 56.57 N
A child slides from rest down a smooth slide 5 m long inclined at 60°. Find the speed at the bottom (in m/s, correct to 2 decimal places). Take g = 10 m/s².
Answer: 9.31