A toy consists of two identical spheres connected by a string with negligible mass. The toy is thrown at an angle above the horizontal such

Question

A toy consists of two identical spheres connected by a string with negligible mass. The toy is thrown at an angle above the horizontal such that the string remains taut and both sphere are revolving counterclockwise in a vertical plane around the center of the string.

when the toy was released, the center of the string was moving with an initial speed of 15m/s at a 60 degree angle above the horizontal. What is the speed of the center of the string at the instant when the string reaches the top of its trajectory?

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Bơ 4 years 2021-07-18T13:50:56+00:00 1 Answers 857 views 0

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  1. danthu
    0
    2021-07-18T13:52:08+00:00
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    Answer:

    7.5 m/s

    Explanation:

    At the top, the vertical component of the velocity is 0 m/s.  Assuming negligible air resistance, the acceleration in the x direction is 0 m/s².  So the speed of the center of the string is equal to the initial horizontal component of the velocity.

    vₓ = 15 m/s cos 60° = 7.5 m/s

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