What is the minimum kinetic energy for this roller coaster ride?

  • Thread starter rrosa522
  • Start date
  • #1
48
0

Homework Statement


A rollercoaster has a loop with a radius of 12m. The coaster travels 50m and at point A, enters the loop. The average frictional force on the coaster is 40N. The mass of passenger is 50kg. What is the minimum kinetic energy required at point A to generate a velocity of 27m/s at the top of the loop.

Homework Equations




The Attempt at a Solution


[/B]
Is my solution correct?

total distance to the top of the loop = (2*pi*r)/2+50= 87.68
total Energy required = Ek+Ep+ Ff
=((1/2)(27.)^2(50))+(9.81*50*24)+ (40*87.6)
=33636.25
 

Answers and Replies

  • #2
gneill
Mentor
20,913
2,861
Is there a diagram to accompany this question? It's difficult to tell from your description where exactly "point A" is located with respect to the loop's circumference, or what effect if any the 50 m travel distance up to point A has on subsequent motion. Is the mass of the coaster given?
 
  • #3
35,249
11,502
Check the rounding.
What is the minimum kinetic energy required at point A to generate a velocity of 27m/s at the top of the loop.
A is a point on the loop, why did you take friction before point A into account?
 

Related Threads on What is the minimum kinetic energy for this roller coaster ride?

  • Last Post
Replies
18
Views
30K
Replies
5
Views
2K
  • Last Post
Replies
3
Views
30K
Replies
10
Views
3K
Replies
3
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
1K
Replies
15
Views
2K
  • Last Post
Replies
10
Views
6K
  • Last Post
Replies
4
Views
1K
Top