A 500 g model rocket is resting horizontally at the top edge of a 40-m-high wall when it is accidentally bumped. The bump pushes it off the

Question

A 500 g model rocket is resting horizontally at the top edge of a 40-m-high wall when it is accidentally bumped. The bump pushes it off the edge with a horizontal speed of 0.5 m/s and at the same time causes the engine to ignite. When the engine fires, it exerts a constant 20 N horizontal thrust away from the wall. a. How far from the base of the wall does the rocket land?

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Khang Minh 2 months 2021-07-31T08:10:58+00:00 1 Answers 1 views 0

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    2021-07-31T08:12:29+00:00

    Answer:

    Explanation:

    mass of rocket m = .5 kg

    height of wall h = 40 m

    initial horizontal velocity u = .5 m /s

    horizontal acceleration = force / mass

    = 20 / .5

    a = 40 m /s²

    Let rocket falls or covers 40 m vertically downwards in time t

    h = 1/2 gt² , initial vertical velocity = 0

    40 = 1/2 x 9.8 x t²

    t = 2.8566 s

    During this period it will cover horizontal distance with initial velocity of .5 m /s and acceleration a = 40m /s²

    horizontal distance = ut + 1/2 at²

    = .5 x 2.8566 + .5 x 40 x 2.8566²

    = 1.4283 + 163.2033

    = 164.63 m .

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