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10 December, 09:50

An 85 kg object is moving at a constant speed of 15 m/s in a circular path, which has a radius of 20 meters. What centripetal force is exerted on the body?

A. 42.50 N

B. 63.75 N

C. 956.25 N

D. 765.00 N

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Answers (1)
  1. 10 December, 10:01
    0
    Centripetal force needed to move mass 'm' in a circle with radius 'r' at speed 'v' is

    F = m · v² / r

    F = (85 kg) · (15 m/s) ² / (20 m)

    F = (85kg · 225m²) / (20 m·s²)

    F = (85 · 225 / 20) (kg·m² / m·s²)

    F = 956.25 kg·m/s²

    F = 956.25 Newtons
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