What's the Force Exerted? and how long it takes to stop

  • Thread starter Hoyin
  • Start date
  • #1
5
0

Homework Statement



Johnny, of mass 65 kg, and Lucy, of mass 45 kg, are facing each other on roller blades. The coefficient of kinetic friction between the roller blades and concrete surface is 0.20. When Johnny pushes Lucy from rest he applies a force for 1.0 s. Lucy then slows down to a stop in another 8.0 s. Calculate:
a. The applied force exerted by Johnny on Lucy. [790 N]
b. How long it takes Johnny to come to rest. [5.1s]

Homework Equations


F = ma
Vf = Vi + at
x(t) = Vi * t + 0.5*a*t^2

The Attempt at a Solution


Fk = (miu)*mass*9.81 = (0.2) (45Kg) (9.81 m/s^2) = 88.3 N
Vf = Vi + at = 0 + a(8s)
 

Answers and Replies

  • #2
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
2020 Award
35,506
6,420
Ouch. This is a very badly worded question. The coefficient of friction between the roller blades and the concrete has nothing to do with it. The roller blades will roll - that is what they are designed to do. The friction will do no work and therefore not slow Lucy at all.
What the question setter means (I hope) is rolling resistance. This is typically a result of friction at the axle of the wheel and/or deformation of the wheel as the load on it changes.
Putting that aside, you have calculated the force that will take Lucy from maximum speed (her speed when the push ends) to rest in 8 seconds. Now you want the force that goes the opposite way - from rest to maximum speed - in 1 second. Any thoughts?
You quote an equation involving an acceleration and two speeds. How can you connect that with forces?
 
  • Like
Likes Chestermiller
  • #3
5
0
I tried connecting the two forces Fapp = - F john on lucy but I still need acceleration, which I can't figure out because there is no distance.
 
  • #4
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
2020 Award
35,506
6,420
I tried connecting the two forces Fapp = - F john on lucy but I still need acceleration, which I can't figure out because there is no distance.
It often happens that it looks like there is not enough information, but it turns out that the information that seems to be missing doesn't affect the answer.
So just create an unknown for the missing data and run through the equations. You'll probably find the unknown cancels out.
In my previous reply I tried to give you a way of thinking about the question which would skip all that, but no matter.
 

Related Threads on What's the Force Exerted? and how long it takes to stop

Replies
2
Views
3K
Replies
9
Views
2K
Replies
2
Views
1K
Replies
4
Views
2K
  • Last Post
Replies
1
Views
4K
  • Last Post
Replies
4
Views
14K
Replies
2
Views
4K
Replies
3
Views
1K
Replies
3
Views
4K
Top