A coin placed 30.8 cm from the center of a rotating, horizontal turntable slips when its speed is 50.8 cm/s.
(a) What force causes the centripetal acceleration when the coin is stationary relative to the turntable?
(A) static friction
(B) inertia
(C) kinetic friction
(D) centrifugal force

(b) What is the coefficient of static friction between coin and turntable?

Respuesta :

Answer:

a)(A) static friction

b)[tex]\mu _s=0.085[/tex]

Explanation:

Given that

r = 30.8 cm

V = 50.8 cm/s

a)

(A) static friction

b)

At the condition of motion

Static friction = Centrifugal force

[tex]\mu _s\ m\ g=\dfrac{mV^2}{r}[/tex]

[tex]\mu _s\ g=\dfrac{V^2}{r}[/tex]

[tex]\mu _s\times 980=\dfrac{50.8^2}{30.8}[/tex]

[tex]\mu _s=0.085[/tex]

In this exercise we have to use the knowledge of centripetal force to describe the types of forces identified in the exercise, thus we have:

A)Static frition

B) [tex]\mu_s=0.085[/tex]

organizing the information given by the utterance we find that:

  • 30.8 cm from the center of a rotating
  • speed is 50.8 cm/s

What is a centripetal force?

Centripetal force is the resultant force that acts on a body and describes a motion in a circular path. It is responsible for changing the direction of the body's velocity and, in addition, it always points to the center of the curves, so that the angle formed between this force and the velocity vector is always 90º.

A) We are dealing with a centripetal force that way we know that it is a force that acts on a body that is in motion that needs to keep rotating. The only traction used is the static friction.

B)knopwing that the formula, we have:

[tex]\mu_s*m*g=(mV^2)/r\\\mu_s*g=V^2/r\\\mu_s(980)=(50.8)^2/(30.8)\\\mu_s=0.085[/tex]

See more about centripetal force at brainly.com/question/10596517

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