AP Physics 1hardmcq1 pt
A 2.0 kg ball on a 1.0 m string moves in a horizontal circle, the string at 30° below horizontal. If the tension is 40 N, the ball's speed is about
A.3.9 m/s
B.5.5 m/s
C.2.0 m/s
D.7.7 m/s
Explanation
Core Concept
The horizontal tension component (40 cos 30° ≈ 34.6 N) supplies mv²/(r cos 30°). Solving: v² = (40)(0.866)²(1.0)/2.0 ≈ 15, v ≈ 3.9 m/s — closest 4.2 m/s with rounding.
Correct Answer
A3.9 m/s
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