Final Velocity of Hockey Puck: 40.0 m/s to ?

In summary, the problem involves finding the final velocity of a hockey puck given an initial velocity and the coefficient of kinetic friction between the puck and the ice. To solve the problem, the sum of forces in the x direction is set equal to the acceleration, which is independent of the mass of the puck. The initial push vector is not relevant in this scenario. The solution can be found by setting up F-ma with the initial push as zero and solving for acceleration.
  • #1
Miike012
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Final Velocity...

Problem: A hockey puck is given an initial velocity of 40.0 m/s
along the ice. Find the speed of the puck 1.00 s later if
the coefficient of kinetic friction (U) between puck and ice is
0.600. (HINT: The result is independent of the mass of
the puck.)


My solution:

1. sum of forces in y direction = N - W = 0
2. sum of forces in x direction = p - f = (a)

p - (U)(N) = a
p - (0.600)(g) = a
p - 5.88 = a

( I need to know what "a" is in order to solve for final velocity but I am doing something wrong... please help)

PS. is my body diagram correct?
 

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  • #2


The initial push vector you have is basically zero. It has an initial velocity, but no force acting on it in that direction. You can set up F-ma with that as zero, and you should be able to solve it for acceleration.

Take a look at this problem, it's very similar.
https://www.physicsforums.com/showthread.php?t=539748
 

1. What is the formula for calculating the final velocity of a hockey puck?

The formula for calculating the final velocity of a hockey puck is v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

2. How do you determine the acceleration of a hockey puck?

The acceleration of a hockey puck can be determined by dividing the change in velocity by the change in time, or a = (v-u)/t. This can also be calculated by using Newton's second law of motion: F = ma, where F is the force applied to the puck and m is the mass of the puck.

3. Can the final velocity of a hockey puck be greater than the initial velocity?

Yes, the final velocity of a hockey puck can be greater than the initial velocity. This can occur when the puck is accelerating, such as when a player hits the puck with their stick or when the puck is being pushed by the force of a collision with another object.

4. How does friction affect the final velocity of a hockey puck?

Friction can decrease the final velocity of a hockey puck. As the puck slides on a surface, friction acts in the opposite direction of its motion, causing it to slow down. This is why ice is used as the surface for ice hockey, as it has less friction compared to other surfaces.

5. Is air resistance a factor in calculating the final velocity of a hockey puck?

Yes, air resistance can be a factor in calculating the final velocity of a hockey puck. However, the effect of air resistance on the puck's motion is usually small and can be ignored in most cases. This is because the puck is relatively small and dense, making it less affected by air resistance compared to larger and less dense objects.

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