D)        Friction - force between 2 surfaces that oppose motion

 

                        Depends on:

                    1)         ________________of each surface

 

                2)         __________________ that holds objects together

Two kinds of friction

 

fs         1)         Static Friction - force of friction that must be  overcome to move 

                        an object at _______________________.

 

            fk       2)         Kinetic Friction - force of friction that opposes a ____________ object.

 

Kinetic friction is ______________than static friction             fk ____ fs

 

Friction Equations

To find static friction:        fs= us Fn        To find kinetic friction:      fk = uk Fn

           

fs = force of ____________________friction

 

fk = force of ____________________friction

 

Fn = _________________force (The upward resisting force)

 

Us  =   coefficient of _________________friction - "the ___________________number"

 

Uk  =  coefficient of ________________friction - "the ___________________number"

 

1.                  Relates to ___________________of surfaces in contact

2.                  Calculated experimentally

 

FRICTION force - vector always drawn _________________________1.

 

 

 

 

                                     

 

Friction                       Applied Force

 

 

 

*** At constant velocity: F applied _________________________

 

 

 

 


***** When object is moving on a horizontal surface: Fn = ________= _______

 

 

  

 

 

 

 

 On a horizontal surface:

 

f s = ___________________     f k = ___________________                                                                        

Question 1

 

If an object is moving on a horizontal surface and you doubled the weight force on the object, how would that change the kinetic friction force?

 

Answer - (Hint: weight force = normal force on horizontal surface. ) ____________

 

Question 2

 

On a horizontal surface

 

Static Friction equation                           Kinetic friction equation

 

   f s= Fn Us = ______________                                 f k= Fn x Uk = _________________

 

Look at the equations above.

 

1)     What would happen to the kinetic friction (fk) if:

 

a)    Uk (the roughness number) were halved?

 

Answer -

 

b) You doubled the weight force (F)?            Answer - ______________

 

 

c) you turned the block on its' side?

 

 

FRICTIONAL PROBLEMS

 

***** Remember Fn = Weight  = mg when the object is on horizontal surface

 

Ex)      A 5kg Steel block is resting on a *horizontal table*.  The coefficient of static friction (Us) is 0.75 and the Uk is 0.57.

 

a)        What is the minimum force is needed to start this block moving (fs) ?

 

b)       What is the frictional force on this object as it moves?

 

c)       What force must be applied to the object to keep it moving at constant velocity? 

            

        (Hint:  F net = 0)  Answer ____________
 

Momentum - the property of moving object has that makes it __________________.

 

Momentum = _________ x _____________

 

      p                    =          ____________________________

(kg . m/s)                                

 

a)                _________________ quantity

b)                p has same direction as ___________________

c)                 units - kg×m/s

 

1) Relationship between force and momentum

 

When a Force acts on a body it changes its' ___________________

 

Showing the mathematical relationship

 

p   =   m   x   v                                                           F = m   x   a

 

 = ___________________                       F =    ___________________                                                                                

F =  ____            Force is the time rate of change in _____________________

    

 

Cross multiply and you get ……..          =  _________

 

The  change in momentum  that an unbalanced force produces on an object depends on

 

 ___________________the force acts on a body.

 

2) Impulse                F x  t  =  J

 

Combining all the equations

 

 

 

 

           

Write on your test immediately before answering questions

 

ex1)    A 5kg mass has its velocity change from 8 m/s east to 2 m/s east.  Find the objects change in momentum

 

 

 

 

 

ex 2)    A 5kg mass moving with a velocity of 8 m/s east has an impulse applied to it causing its velocity to change to 20 m/s East.

            Find the Impulse:

 

 

 

                        Find the force if the impulse was applied for 3 sec.

 

             

 

ex 3)    How long would it take for a net upward force of 100N, to increase the speed of a 50kg from 100 m/s to 150 m/s.

 

                         

 

 

 

ex4)    A 1.0kg ball traveling @ 4 m/s strikes a wall and bounces straight back @ 2m/s. 

Find ______

 

            (a)        =          = ______________

                                                           

            (b)  What is impulse applied to the ball? 

 

            (c) What is the impulse applied to the wall?