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14 October, 04:10

A solid ball and a hollow ball, each with a mass of 1.00 kg and radius of 0.100 m start from rest and roll down a ramp of length 3.00 m at an incline of 35.0 degrees. AN ice cube of the same mass slides without friction down the same ramp.

a) which ball will reach the bottom first? Explain

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  1. 14 October, 04:14
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    The solid ball and hollow ball both will reach the bottom with the same speed.

    Explanation:

    The speed of the solid and hollow balls is independent of the mass and the radius. A solid and hollow ball experience same speed on a given incline.

    The speed can be calculated as

    v = √ (10/7) gh

    where g is gravitational acceleration and h is the height

    sinθ = h/L

    h = L*sinθ

    h = 3*sin (35)

    h = 1.72 m

    v = √ (10/7) * 9.8*1.72

    v = 4.91 m/s

    Both balls will reach the bottom at the speed of 4.91 m/s.
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