math

A figure skater pushes off from rest and glides along a circular path, the radius of which is 3 times her height. What must be her minimum initial velocity in order to come full circle without having to push off a second time?

  1. 👍 0
  2. 👎 0
  3. 👁 91
  1. I have no idea. It depends on friction. Where did you get this question?

    1. 👍 0
    2. 👎 0
    posted by Damon
  2. The question is a real-life question.

    1. 👍 0
    2. 👎 0
    posted by Shannon
  3. In that case it depends on a lot of things, mainly:
    The temperature of the ice. Skates move easily over the ice because they melt a tiny film of slippery water under the blade. If the ice is very cold, the skate will have to be very, very sharp to work efficiently. On the other hand you do not want mushy ice because then you get a lot of drag. You want the skate to cut in enough to provide the necessary side force for centripetal acceleration toward the center of the turn. this is the mass of the skater m times v^2/R where v is the forward speed and R is the turn radius. If the ice is too hard or the skate too dull, there will be slipping and loss of speed. In the end the skater must have enough kinetic energy (1/2)mv^2 at the start of the turn to overcome the friction loss during the turn. which is the retding friction force times the distance which for a full turn is 2 pi R

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A figure skater pushes off from rest and glides along a circular path, the radius of which is 3 times her height. What must be her minimum initial velocity in order to come full circle without having to push off a second time?

    asked by Shannon on January 25, 2014
  2. Science

    A skater pushes off with one foot and then glides in a circle. Is a net force acting on the skater? How can you tell?

    asked by Anonymous on November 24, 2011
  3. physics

    Use principles of force and kinematics to answer these: a. A 40 kg skater pushes on the 60 kg skater (initially at rest). As they collide, the 40 kg skater pushes on the 60 kg skater, applying a force 100 Newtons for 1.2 seconds.

    asked by jen on November 1, 2010
  4. Physics

    Use principles of force and kinematics to answer these: a. A 40 kg skater pushes on the 60 kg skater (initially at rest). As they collide, the 40 kg skater pushes on the 60 kg skater, applying a force 100 Newtons for 1.2 seconds.

    asked by jen on November 1, 2010
  5. physic

    A figure skater glides along a circular path of radius 5.20 m. (a) If she coasts around one half of the circle, find the magnitude of the displacement vector. m (b) If she coasts around one half of the circle, find what distance

    asked by mary on February 3, 2016
  6. physics

    A figure skater glides along a circular path of radius 4.70 m. (a) If she coasts around one fourth of the circle, find the magnitude of the displacement vector. m (b) If she coasts around one fourth of the circle, find what

    asked by lina on February 5, 2016
  7. Physics

    A hockey skater turns in a circular path with radius of 31.0 m while going 10.5 m/s. If he experiences a centripetal force of 565 N, what is the mass of the skater?

    asked by Smit on November 15, 2015
  8. Laws of Motion

    Two skaters are in the exact center of a circular frozen pond. Skater 1 pushes skater 2 off with a force of 100 N for 1.4 seconds. If skater 1 has a mass of 30 kg and skater 2 has a mass of 74 kg, a) what is the relative velocity

    asked by James on February 27, 2011
  9. physics

    Two fi gure skaters are moving east together during a performance. Skater 1 (78 kg) is behind skater 2 (56 kg) when skater 2 pushes on skater 1 with a force of 64 N [W]. Assume that no friction acts on either skater. T / I (a)

    asked by shan on April 16, 2012
  10. physics

    A 2.00 kg blob of Gak, moving at 4.0 m/s, strikes a motionless figure skater in the back and sticks. The skater, with the Gak on her back, glides off at 0.160 m/s. Calculate the skater’s mass.

    asked by tj on May 18, 2011

More Similar Questions