a 500 gram stone tied to the end of 1.2 m cord is swung into a vertical circular motion with a radius equal to the cord length. find the speed of the stone at the bottom of the circle if the tension in the cord is three times the stone's weight.

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21-10-2022
Physics

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a 500 gram stone tied to the end of 1.2 m cord is swung into a vertical circular motion with a radius equal to the cord length. find the speed of the stone at the bottom of the circle if the tension in the cord is three times the stone's weight.

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kjuli1766 kjuli1766 · Answer 1 · 2022-10-25T07:59:23-04:00

The speed of the stone at the bottom of the circle is 4.85 ms⁻¹.

Speed is the time fee at which an object is moving alongside a course, even as the pace is the charge and path of an object's movement. The rate of speed of the function of an object in any course.

velocity is measured because of the ratio of distance to the time in which the space became blanketed. the pace is a scalar amount because it has the most effective route and no magnitude. Speed is the time fee at which an object is moving alongside a path, while the pace is the fee and direction of an item's motion. put another way, the pace is a scalar value, whilst pace is a vector.

At the bottom position,

T - mg = Fc = mv²/r

∴ (T - mg/m)r = v²

V² = (3mg - mg ) r/ m = 2mgr/m

v = [tex]\sqrt{2gr}[/tex]

= 4.85 ms⁻¹

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