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27 September, 18:24

Two blocks are in contact on a frictionless, horizontal tabletop. An external force, F, is applied to block 1, and the two blocks are moving with a constant acceleration of 2.70 m/s2. Use M1 = 3.03 kg and M2 = 6.40 kg. (a) What is the magnitude, F, of the applied force? (b) What is the contact force between the blocks? (c) What is the net force acting on block 1? {25.5 N, 17.3 N, 8.18 N to the right}

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  1. 27 September, 18:28
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    The blocks are moving in the x direction

    Given that,

    m1=3.03kg

    m2=6.40kg

    After a force F is applied to the two masses they move with an acceleration of 2.7m/s²

    Newton's Second Law:

    ΣF = Σ (ma) = m1a1 + m2a2

    Therefore

    But in this case a1 = a2=2.7m/s², because they are connected by a string and they are accelerating at the same speed.

    F = (m1+m2) a

    F = (3.03+6.40) 2.7

    F=9.43 * 2.7

    F=25.46N.

    b. The contact force be blocks

    F2 = m2a

    F2 is the force between the blocks

    F2=6.4*2.7

    F2 = 17.28N

    c. Fnet on block 1

    It is the net force pulling the two blocks forward minus the force between the block 1 and 2

    F1=F-F2

    F=25.46-17.28

    F=8.18N

    The net force on block 1 is 8.18N
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