A block slides down a frictionless inclined ramp. If the ramp angle is 17.0° and its length is find the speed of the block as it reaches the

Question

A block slides down a frictionless inclined ramp. If the ramp angle is 17.0° and its length is find the speed of the block as it reaches the bottom of the ramp, assuming it started sliding from rest at the top.

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Đan Thu 4 years 2021-08-20T22:44:15+00:00 1 Answers 216 views 0

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  1. Adela
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    2021-08-20T22:45:35+00:00
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    Answer:

    2.4\sqrt{L} where L is the length of the ramp

    Explanation:

    Let L (m) be the length of the ramp, and g = 9.81 m/s2 be the gravitational acceleration acting downward. This g vector can be split into 2 components: parallel and perpendicular to the ramp.

    The parallel component would have a magnitude of

    gsin\theta = 9.81 sin17^o = 2.87 m/s^2

    We can use the following equation of motion to find out the final velocity of the book after sliding L m:

    v^2 - v_0^2 = 2a\Delta s

    where v m/s is the final velocity, v_0 = 0m/s is the initial velocity when it starts from rest, a = 2.87 m/s2 is the acceleration, and \Delta s = L is the distance traveled:

    v^2 - 0 = 2*2.87*L

    v = \sqrt{5.74L} = 2.4\sqrt{L}

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