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

Susan Russell

Physics

21 July, 07:13

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?

+5

Answers (1)

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Muffin · 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