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?

Question

Physics

Karley

4 October, 05:13

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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Answers (1)

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Irwin · Answer 1

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