A steel cable lying flat on the floor drags a 20 kg block across a horizontal, frictionless floor. A 100 N force applied to the cable causes

Question

A steel cable lying flat on the floor drags a 20 kg block across a horizontal, frictionless floor. A 100 N force applied to the cable causes the block to reach a speed of 4.2 m/s in a distance of 2.0 m.
What is the mass of the cable?

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Kiệt Gia 1 week 2021-07-22T15:06:07+00:00 1 Answers 6 views 0

Answers ( )

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    2021-07-22T15:07:18+00:00

    Answer:

    m_cable = 2,676 kg

    Explanation:

    For this exercise we must look for the acceleration with the kinematic ce relations

              v² = v₀² + 2 a x

    since the block starts from rest, its initial velocity is vo = 0

              a = v² / 2x

              a = 4.2² /(2 2.0)

              a = 4.41 m / s²

    now we can use Newton’s second law

    Note that the mass that the extreme force has to drag is the mass of the block plus the mass of the cable.

              F = (m + m_cable) a

              m_cable  = F / a -m

              m_cable = 100 / 4.41 – 20

              m_cable = 2,676 kg

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