a ball is released from height along the slope and move along a circular track radius R without falling vertically down Show that h=5/2R
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Explanation:
=> Velocity of the ball at the lowest point, V = √5gR
=> Potential energy at point, P = Mgh
=> kinetic energy at point, Q = 1 / ⋉ MV²
According to the law of conservation of energy,
potential energy at point P = kinetic energy at point Q
Mgh = 1 / 2 MV²
∴ gh = 1 / 2 (√5gR)²
∴ gh = 1 / 2 (5gR)
h = 5R / 2
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=> Velocity of the ball at the lowest point, V = √5gR
=> Potential energy at point, P = Mgh
=> kinetic energy at point, Q = 1 / ⋉ MV²
According to the law of conservation of energy,
potential energy at point P = kinetic energy at point Q
Mgh = 1 / 2 MV²
∴ gh = 1 / 2 (√5gR)²
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