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14 November, 18:00

A block of mass 21 kg slides up a frictionless plane inclined at 13◦ with the horizontal under the influence of a force of 210 N acting parallel to the incline and up the incline. The acceleration of gravity is 9.8 m/s 2. What is the acceleration of the block? Answer in units of m/s 2.

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  1. 14 November, 21:02
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    a = 8.74 m/s²

    Explanation:

    Given that

    m = 21 kg

    θ = 13◦

    F = 210 N

    g = 9.8 m/s²

    The force due to gravity

    F₁ = m g sinθ

    F₁=12 x 9.8 x sin 13◦

    F₁=26.45 N

    Lets take acceleration is a m/s²

    Form Newtons second law

    F - F₁ = m a

    210 - 26.45 = 21 x a

    a = 8.74 m/s²
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