Question

1. A 3.0 kg mass is tied to a rope and swung in a horizontal circle. If the velocity of the mass is 4.0 ms and

Answer 1

10.67m/s²

32N

Explanation:

Given parameters:

Mass of the body = 3kg

velocity of the mass = 4m/s

radius of circle = 0.75m

Unknown:

centripetal acceleration = ?

centripetal force = ?

Solution:

The centripetal force is the force that keeps a radial body in its circular motion. It is directed inward:

   Centripetal acceleration  = $\frac{v^{2} }{r}$

   v is the velocity of the body

    r is the radius of the circle

  putting in the parameters:

   Centripetal acceleration = $\frac{4^{2} }{0.75}$

    Centripetal acceleration = 10.67m/s²

Centripetal force = m  $\frac{v^{2} }{r}$

          m is the mass

 Centripetal force = mass x centripetal acceleration

                              = 3 x 10.67

                              = 32N

learn more:

Acceleration brainly.com/question/3820012

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