physics

posted by .

A hockey puck struck by a hockey stick is given an initial speed v0 in the positive x-direction. The coefficient of kinetic friction between the ice and the puck is μk.
(a) Obtain an expression for the acceleration of the puck. (Use the following as necessary: μk and g.)
a =

(b) Use the result of part (a) to obtain an expression for the distance d the puck slides. The answer should be in terms of the variables v0, μk, and g only.
d =

• Physics -

f = ma
μk * f(normal) = m*a
μk *m*g = m*a
μk *g =a
so a = μk*g
this is defined to be a negative acceleration since the friction force works in the opposite direction to the movement of the puck

vFinal = v0 + at
so t = (vF-v0)/a
d = t*(vF+v0)/2
so d = (vF+v0)(vF-v0)/2a

substitute in our 'known' values: a = μk*g, and vF = 0 (since the puck has stopped sliding)

d = (0+v0)(0-v0)/ 2(μk*g)
d = v0^2 / (2μk*g)
(eliminate negatives as d is positive)

Similar Questions

1. Physics

A hockey player hits a puck with his stick, giving the puck an initial speed of 5.0 m/s. If the puck slows uniformly and comes to rest in a distance of 20 m, what is the coefficient of kinetic friction between the ice and the puck?
2. physics

A hockey puck of mass 0.27 kg is sliding along a slippery frozen lake, with an initial speed of 56 m/s. The coefficient of friction between the ice and the puck is μK = 0.032. Friction eventually causes the puck to slide to a …
3. physics

A hockey puck struck by a hockey stick is given an initial speed v0 in the positive x-direction. The coefficient of kinetic friction between the ice and the puck is μk. (a) Obtain an expression for the acceleration of the puck. …
4. physics

a hockey puck is given the initial speed of 10 m/s. If the coefficient of kinetic friction between the ice and puck is 0.10, how far will the puck slide before stopping?
5. physics

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 kinetic friction between the puck and ice. (Answer: = …
6. Science

A hockey puck is given an initial speed of 30 m/s on a frozen pond. The puck remains on the ice and slides 130 m before coming to rest. The acceleration of gravity is 9.8 m/s^2 . What is the coefficient of friction between the puck …
7. physics

If the hockey puck lies on the ice and is struck by a hockey stick with a force of 2.60e+03 N, what is the acceleration of the hockey puck
8. Physics

A hockey player hits a puck with his stick, giving the puck an initial speed of 5.8m/s . Part A If the puck slows uniformly and comes to rest in a distance of 20m , what is the coefficient of kinetic friction between the ice and the …
9. Physics

While sliding horizontal on a frictionless surface at a speed of 30 m/s, a hockey puck of mass 0.16 kg is struck by a hockey stick. After leaving the stick, the puck has a speed of 22 m/s in the opposite direction. The magnitude of …
10. Physics

A hockey puck is given an initial speed of 6.7 m/s. If the coefficient of kinetic friction between the puck and the ice is 0.08, how far (in m) does the puck slide before coming to rest?

More Similar Questions