In a shipping company distribution center, an open cart of mass 50 kg is rolling to the left at a speed of 5 m/s. You can ignore friction be

Question

In a shipping company distribution center, an open cart of mass 50 kg is rolling to the left at a speed of 5 m/s. You can ignore friction between the cart and the floor. A 15 kg package slides down a chute that makes an angle of 27 degrees below the horizontal. The package leaves the chute with a speed of 3 m/s, and lands in the cart after falling for 0.75 seconds. The package comes to a stop in the cart after 4 seconds. What is:a) the speed of the package just before it lands in the cart

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Hưng Khoa 3 years 2021-09-05T06:57:14+00:00 1 Answers 2 views 0

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  1. Tryphena
    0
    2021-09-05T06:58:19+00:00
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    Answer:

    Explanation:

    The package leaves the chute with a speed of 3 m/s, and lands in the cart after falling for 0.75 seconds . During .75 second duration . package undergoes free fall due to which additional vertical velocity is added

    velocity added = a x t

    = 9.8 x .75

    = 7.35 m /s

    Total vertical velocity

    = 3 sin27 + 7.35

    = 8.71 m /s

    Horizontal component = 3 cos 27

    = 2.67 m /s

    If v be the resultant velocity of these components

    v² = 2.67² + 8.71²

    v² = 7.13 + 75.86

    v = 9.11 m /s .

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