physics

posted by .

The drawing shows a version of the loop-the-loop trick for a small car. If the car is given an initial speed of 4.6 m/s, what is the largest value that the radius r can have if the car is to remain in contact with the circular track at all times

  • physics -

    at the top, mv^2/r=mg

    r=v^2/g

  • physics -

    oops. Stinking thinking, I didn't read it.

    at the top mv^2/r=mg

    but v a the top is the initial v, minus that lost to PEnergy

    vf^2=vi^2-2gh
    or vf= sqrt (4.6^2-2*9.8*h)

    now, to the solution
    vf^2/r= g
    (4.6^2-2*9.8*2r)^2 =rg
    solve for r

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. College Physics

    The drawing shows a version of the loop-the-loop trick for a small car. If the car is given an initial speed of 4.5 m/s, what is the largest value that the radius r can have if the car is to remain in contact with the circular track …
  2. physics

    The drawing shows a version of the loop-the-loop trick for a small car. If the car is given an initial speed of 4.5 m/s, what is the largest value that the radius r can have if the car is to remain in contact with the circular track …
  3. Physics

    A roller-coster car starts from rest at the top of a 16 meter hight track, and slides without friction through a 6 meter tall loop. Find the speed of the car at the bottom of the loop. find the speed of the car when it's upside down …
  4. physics - rotational motion

    A small car of mass, m, is release at height, h, on a steel track. the car rolls down the track and through the loop of radius, R. at the end of the rack, the car rolls off the track, which is positioned at height, H, above the floor. …
  5. Circular motion

    The drawing shows a version of the loop-the-loop trick for a small car. If the car is given an initial speed of 5.0 m/s, what is the largest value that the radius r can have if the car is to remain in contact with the circular track …
  6. Physics

    A car is doing a loop-the-loop. The loop has a radius of .4m. Assume the car is starting with the minimum speed it needs in order to stay in contact with the track at all times (at the top of the track, the car is not applying a force …
  7. Uni Physics

    The drawing shows a version of the loop-the-loop trick for a small car. If the car is given an initial speed of v = 4.7 m s-1, what is the largest value that the radius r can have if the car is to remain in contact with the track at …
  8. College Physics

    A child's toy consists of a toy car of mass 0.100kg which is able to roll without friction on the loop-the-loop track shown. The car is accelerated from rest by pushing it with force F over a distance d, then the car slides with a …
  9. Physics

    A roller coaster works by gravitational energy. The coaster car is pulled up to a high point and then released, rolling downwards on the track through all manners of curves and loops. I have a short roller coaster car that I pull up …
  10. Physics

    The radius of curvature of a loop-the-loop for a roller coaster is 11.8 m. At the top of the loop (with the car inside the loop), the force that the seat exerts on a passenger of mass m is 0.80mg. Find the speed of the roller coaster …

More Similar Questions