A falling 0.60 kg object experiences a frictional force due to air resistance of 1.5 N. What is the object’s acceleration?​

Question

A falling 0.60 kg object experiences a frictional force due to air resistance of 1.5 N. What is the object’s acceleration?​

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Vân Khánh 4 months 2021-09-05T15:50:12+00:00 1 Answers 7 views 0

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    2021-09-05T15:51:30+00:00

    Answer:

    7.5 m/s².

    Explanation:

    From the question given above, the following data were:

    Mass (m) of object = 0.6 Kg

    Force of friction (Fբ) = 1.5 N

    Acceleration (a) =?

    Next, we shall determine the force of gravity on the object. This can be obtained as follow:

    Mass (m) of object = 0.6 Kg

    Acceleration due to gravity (g) = 10 m/s²

    Force of gravity (F₉) =?

    F₉ = mg

    F₉ = 0.6 × 10

    F₉ = 6 N

    Next, we shall determine the net force acting on the object. This can be obtained as follow:

    Force of friction (Fբ) = 1.5 N

    Force of gravity (F₉) = 6 N

    Net force (Fₙ) =?

    Fₙ = F₉ – Fբ

    Fₙ = 6 – 1.5

    Fₙ = 4.5 N

    Finally, we shall determine the acceleration of the object. This can be obtained as follow:

    Mass (m) of object = 0.6 Kg

    Net force (Fₙ) = 4.5 N

    Acceleration (a) of object =?

    Fₙ = ma

    4.5 = 0.6 × a

    Divide both side by 0.6

    a = 4.5 / 0.6

    a = 7.5 m/s²

    Therefore, the acceleration of the object is 7.5 m/s²

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