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7 April, 06:00

You push a shopping cart filled with groceries (total mass = 20 kg) by applying a force to the cart 30° from the horizontal. if the force you apply has a magnitude of 86 n, what is the cart's acceleration? assume negligible friction.

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  1. 7 April, 06:11
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    Refer to the diagram shown below.

    The horizontal component of force acting on the cart is

    86 cos (30) = 74.478 N

    If the cart's acceleration is a, then (with friction ignored)

    (20 kg) * (a m/s²) = 74.478 N

    a = 74.478/20 = 3.724 m/s²

    Answer: 3.724 m/s²
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