a 4.0-kg ball tied to a string is rotating in a horizontal circle of radius 1.0 m. the maximum tension force the string can withstand is 200 n. what is the maximum rotational speed of the ball before the string breaks? [hint: the tension force on the string acts as a centripetal force.] group of answer choices 9 m/s 7 m/s 5 m/s 11 m/s 13 m/s



Answer :

In a horizontal circle with a radius of 1.0 m, a 4.0 kilogram ball that is attached to a string is rotating.

The string can endure a tensile force of up to 200 N. It describes a body's motion when it follows a circular path on a horizontal surface. The object is moving horizontally in this instance. However, a circular projection of this horizontal surface is present. A plane is defined by a circle. We can define a "horizontal" circle as one whose plane is parallel to the horizontal reference and a "vertical" circle as one whose plane is perpendicular to the horizontal reference if you have a reference plane that you refer to as being horizontal. In a horizontal circular motion, the body or the object is moving at a constant pace, meaning that its rate of motion is steady and unchanging. The uniform circular motion includes horizontal circular motion.

a) Tangential speed, v = rω

  Radius, r = 0.86 m

  Angular speed, ω = 0.660 rev/s = 0.66 x 2 x π = 4.15 rad/s

 Tangential speed, v = rω = 0.86 x 4.15 = 3.57 m/s

b) Centripetal acceleration,

         

c) Maximum tension in horizontal circular motion

         

 Maximum tangential speed the ball can have = 5.41 m/s

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