A small car of mass m and a large car of mass 4m drive along a highway at constant speed. They approach a curve of radius R. Both cars maint

Question

A small car of mass m and a large car of mass 4m drive along a highway at constant speed. They approach a curve of radius R. Both cars maintain the same acceleration a as they travel around the curve. How does the speed of the small car vS compare to the speed of the large car vL as they round the curve

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Hồng Cúc 4 years 2021-09-02T17:04:12+00:00 1 Answers 96 views 0

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  1. haidang
    0
    2021-09-02T17:05:35+00:00
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    Answer:

    Explanation:

    Given that we have two cars

    First car has mass =m

    Second car has mass = 4m

    They are driving at constant speed

    Given that the radius of curve is R

    Both cars maintain the same acceleration.

    Let velocity of small car be vS

    Velocity of big car be vL

    From centripetal acceleration

    a=V²/R

    V²=aR

    Then since both car have the same accelerating and bashing through the same curve of radius R

    Then, We can say, V² is constant

    vL² = vS²

    Then taking square root of both side

    vL=vS

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