Question 12 6.5m Two balls, X and Y, are spun at a velocity of s in a horizontal circle on the path shown below. Ball X has a mass of 1.3 kg, and ball Y has a mass of 0.81 kg. Which statement best describes the centripetal acceleration and centripetal forces on the balls? X O y
Centripetal force and acceleration:
When an object is moving in a circular path, velocity of that object changes every moment as velocity of an object always acts along tangent and tangent keeps on changing at every point on the circumference of the circle, hence velocity keps on changing. As we know that, rate of change of velocity is acceleration, hence, an object has a centripetal acceleration when moves along the circle even with a constant speed.
The product of mass of an object and centripetal acceleration gives centripetal force which always acts towards the center of circle.
Mathematically,
1) , where, is centripetal acceleration in m/s2, v is the speed of an object in m/s & r is the radius of curvature in m.
2) , where, Fc is centipetal force in N & m is the mass of an object in Kg.
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