Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

A 85.0kg man and a 65, 0kg woman are riding a Ferris wheel with a radius of 20.0m. What is the Ferris wheels tangential velocity if the net centripetal force on the woman is 115N

Sagot :

Supernova

Answer:

The Ferris wheel's tangential (linear) velocity if the net centripetal force on the woman is 115 N is 3.92 m/s.

Explanation:

Let's use Newton's 2nd Law to help solve this problem.

  • F = ma

The force acting on the Ferris wheel is the centripetal force, given in the problem: [tex]F_c=115 \ \text{N}[/tex].

The mass "m" is the sum of the man and woman's masses: [tex]85+65= 150 \ \text{kg}[/tex].

The acceleration is the centripetal acceleration of the Ferris wheel: [tex]a_c=\displaystyle \frac{v^2}{r}[/tex].

Let's write an equation and solve for "v", the tangential (linear) acceleration.

  • [tex]\displaystyle 115=m(\frac{v^2}{r} )[/tex]
  • [tex]\displaystyle 115 = (85+65)(\frac{v^2}{20})[/tex]
  • [tex]\displaystyle 115=150(\frac{v^2}{20} )[/tex]
  • [tex].766667=\displaystyle(\frac{v^2}{20} )[/tex]
  • [tex]15.\overline{3}=v^2[/tex]
  • [tex]v=3.9158[/tex]

The Ferris wheel's tangential velocity is 3.92 m/s.

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.