Anonymous
Anonymous asked in Science & MathematicsPhysics · 1 month ago

A sphere is rolled down in smooth slope .if the sphere has move 20 meters after 10 second calculate it final speed v?

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  • 4 weeks ago

    We can apply kinematics here using s = ut + (1/2)at²

    With u = 0, t = 10 and s = 20 we get:

    20 = (1/2)a(10)²

    so, a = 0.4 ms⁻²

    Then, applying v² = u² + 2as we have:

    v² = 2(0.4)(20)

    so, v² = 16

    Hence, v = 4 ms⁻¹

    :)>

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  • NCS
    Lv 7
    1 month ago

    I guess we have to assume that the sphere starts from rest, and its final speed is reached after 20 meters.

    final V = 2*Vavg = 2*20m / 10s = 4 m/s ◄

    Now if the slope is longer than 20 meters, then:

    (i) find the acceleration

    a = 4m/s / 10s = 0.4 m/s²

    and then at the bottom of the slope

    final v = √(2*a*d) = √(2 * 0.4m/s² * d) = √(0.8m/s² * d)

    so, for instance, if your slope was 30 m,

    final v ≈ 5 m/s

    If you find this helpful, please select Favorite Answer!

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  • 1 month ago

    By s = ut + 1/2at^2

    =>20 = 0 + 1/2 x a x (10)^2

    =>a = 0.40 m/s^2

    Thus by v = u + at

    =>v = 0 + 0.40 x 10

    =>v = 4 m/s

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