Curling is a game similar to lawn bowling except it is played on ice and instead of rolling balls on the lawn, stones are slid along ice. A curler slides a stone across a sheet of ice with an initial speed vi in the positive x direction. The coefficient of kinetic friction between the stone and the curling lane is? k. Express your answers in terms of vi,? k, and g only. (Assume the direction of the stone's motion to be the positive direction. Do not substitute numerical values; use variables only. Indicate the direction with the sign of your answer.)

(a) What is the acceleration of the stone as it slides down the lane?

(b) What distance does the curling stone travel?

Question

Physics

Lillianna Montoya

31 August, 05:54

Curling is a game similar to lawn bowling except it is played on ice and instead of rolling balls on the lawn, stones are slid along ice. A curler slides a stone across a sheet of ice with an initial speed vi in the positive x direction. The coefficient of kinetic friction between the stone and the curling lane is? k. Express your answers in terms of vi,? k, and g only. (Assume the direction of the stone's motion to be the positive direction. Do not substitute numerical values; use variables only. Indicate the direction with the sign of your answer.)

(a) What is the acceleration of the stone as it slides down the lane?

(b) What distance does the curling stone travel?

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Answers (1)

Know the Answer?

Maggie Benton · Answer 1

a) a = - K g b) x = vi² / 2Kg

Explanation:

. a) To solve this problem we will use Newton's second law, in each axis independently

X axis

-fr = m a

Note that the force of friction goes in the opposite direction to the initial speed, so it is negative

Y Axis

N-W = 0

N = W = mg

The friction force equation is

fr = μ N

We replace

-μ mg = ma

a = - μ g

The sign indicates that acceleration is opposed to movement

We replace

a = - K g

b) for this part we use kinematic relationships

Vf² = vi² + 2 a x

0 = vi² - 2 a x

x = vi² / 2 a

x = vi² / 2 (K g)

x = vi² / 2Kg