Determine how long puck takes to cross ice

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SUMMARY

The discussion revolves around calculating the time it takes for a hockey puck, moving at a velocity of 19 m/s, to cross a rough patch of ice measuring 5.1 m, with a coefficient of kinetic friction of 0.47. Participants emphasize the application of Newton's laws and kinematic equations to solve for the normal force (F_n) and the frictional force (F_f). The key takeaway is that the normal force can be expressed as F_n = mg, where m is the mass of the puck, which is not provided but is not necessary for the calculation of acceleration and time.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with kinematic equations
  • Knowledge of the Work-Energy Theorem
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the normal force (F_n) in terms of mass (m) using F_n = mg
  • Determine the frictional force (F_f) using F_f = μF_n, where μ is the coefficient of kinetic friction
  • Apply Newton's second law (F_net = ma) to find the acceleration of the puck
  • Use kinematic equations to calculate the time taken to cross the rough patch of ice
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators and tutors looking for practical examples of applying Newton's laws and kinematic equations in real-world scenarios.

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i have no clue where to begin to solve this problem. Can anyone help me out and get me started please and thanks.


A hockey puck, sliding on an outdoor rink, has a velocity of 19 m/s forward when it suddenly hits a rough patch of ice that is 5.1 m across. Assume that the coefficient of kinetic friction between the puck and the rough ice is 0.47. Determine the time it takes the puck to clear the rough ice.
 
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j1249 said:
i have no clue where to begin to solve this problem. Can anyone help me out and get me started please and thanks.


A hockey puck, sliding on an outdoor rink, has a velocity of 19 m/s forward when it suddenly hits a rough patch of ice that is 5.1 m across. Assume that the coefficient of kinetic friction between the puck and the rough ice is 0.47. Determine the time it takes the puck to clear the rough ice.
Are you familiar with
1. Newton's laws and the Kinematic motion equations? or
2. the Work-Energy Theorem?
Start by choosing one of these methods, and then please show your attempt at a solution.
 
yes I'm aware of Newtons laws and the kinematic motion equations but how do i go for solving for Fn so i can solve for Ff? Like, i could do Fg=mg to solve for Fn, but i don't have m so i can't do that equation.
 
i believe i no how to solve this question, but only if i had mass, which i dont
 
j1249 said:
i believe i no how to solve this question, but only if i had mass, which i dont
Maybe you don't need to know it. Try Newton's law and see what happens.
 
i have tried, but i am completely lost and confused
 
j1249 said:
i have tried, but i am completely lost and confused

What is the nornal force in terms of m? Write it down with the letters. What is the friction force in terms of m? Write it down with letters. Is the friction force the net force acting on the puck in the x direction? If so, F_net=ma, solve for a.
 
okay thanks but how do i figure out normal force in terms of m? it gives me absolutly no values besides the ones in the question
 
n [tex ]
 
  • #10
meiso, that's what i would like to know to lol :)
 
  • #11
j1249 said:
okay thanks but how do i figure out normal force in terms of m? it gives me absolutly no values besides the ones in the question
You may have already figured out the normal force in terms of m, in your 2nd post above.
 
  • #12
so its zero?
 
  • #13
j1249 said:
so its zero?
No. In the vertical direction, the weight of the puck, mg, acts down. Since the puck is assumed to stay in contact with the ice, it is not moving vertically. So from equilibrium and Newton's first law, if the weight acts down, some other force must act up to balance it. This is the normal force in this situation (F_n), the upward force of the ice on the puck. So, F_n = ______??
 

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