Calculating Coefficient of Friction for a Sliding Hockey Puck on Ice

[Zeal_of_Soul]

a hockey puck on a frozen pond is given an initial speed of 20.0 m/s.if the puck always remains on the ice and slides 115 m before coming to rest,determine the coefficient of friction between the puck and ice.

I started solving the question by getting the acceleration (a=-1.8m/s^2) ,but I'm stuck to this point.
Please help..Thank you

 

[jambaugh]

1.) What is the definition of the coefficient of friction?
2.) What is the relationship between acceleration and force?

 

[kerimek]

To continue solving this problem, we can use the equation for Newton's second law, F=ma, where F is the force of friction, m is the mass of the puck, and a is the acceleration. In this case, the only force acting on the puck is the force of friction, so we can rewrite the equation as Ff=ma.

We know that the distance traveled by the puck is 115 m and the initial speed is 20.0 m/s, so we can use the equation v^2=u^2+2as to find the time it takes for the puck to come to rest. Plugging in the values, we get t=20.0/1.8=11.11 s.

Now, using the equation Ff=ma, we can rearrange it to solve for the coefficient of friction, which is given by the formula μ=Ff/m. Plugging in the values, we get μ=Ff/m=(-1.8)(11.11)/m. To find the value of m, we can use the equation for the momentum of the puck, p=mv, where p is the momentum, m is the mass, and v is the velocity. Since the puck comes to rest, the final momentum is 0, so we can rewrite the equation as 0=mv. Solving for m, we get m=0 kg.

Plugging this value into the equation for μ, we get μ=(-1.8)(11.11)/0, which is undefined. This means that there is no coefficient of friction between the puck and the ice, which is not physically possible. This could be due to errors in the initial assumptions, such as neglecting air resistance or the surface not being perfectly smooth. It is also possible that the data given is not accurate enough to accurately calculate the coefficient of friction. In order to get a more accurate result, it may be necessary to conduct experiments with different initial speeds and distances traveled.