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14 November, 05:46

A 10 kg lawn mower is pushed along by a force applied at a 20 degree angle to the horizontal. If a the mower accelerates at 3.4 m/s^2, what is this force?

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  1. 14 November, 06:44
    0
    m = mass of lawn mower = 10 kg

    a = acceleration along X-direction = 3.4 m/s²

    let the applied force be "F"

    from the force diagram, we see that only "F Cos20 " is acting along the horizontal direction.

    hence F' = net force along x-direction = F Cos20

    net force along x-direction is given as

    F' = ma

    F Cos20 = ma

    inserting the values

    F Cos20 = 10 x 3.4

    F Cos20 = 34

    F = 36.2 N

    hence the force applied is 36.2 N
  2. 14 November, 08:36
    0
    Force = mass x acceleration

    Mass will be considered in the horizontal direction

    So the component of force in horizontal direction is 10 kg Sin (theta)

    Putting the value in above equation we get:

    F = 10 kg X Sin (20) X 3.4 m/s^2

    = 10 Kg x 0.342 x 3.4 m/s^2

    = 11.628 Kg-m/s^2
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