Question

If the coefficient of kinetic friction between the puck and the ice is 0.05, how far does the puck slide before coming to rest? solve this problem using conservation of energy.

Answer 1

According to newton's 3rd law of motion,

For every action, there is equal and opposite reaction. So if we move a body against a rough surface, there were be reaction against the force applied. 

So using conservation of energy, we know:

Work done to move a body = Work done against Friction
So, Force applied * distance moved = coefficient of Friction * Normal Reaction * distance moved

For a body moving against a normal surface, Normal Reaction (R) = mg

or, mass * acceleration * distance (s) = ∪ * R * distance(s)
or, mass * (v^2/2s) = ∪ * mass * gravity 

Now, s = stopping distance = v²/ 2∪g
so, using given value,∪=0.05,

s = v2/2*0.05*g

We know, g = 10, so s = v²/(2*0.05*10) = v²

where v = initial velocity 

Answer 2

The puck slides about 26 m before coming to rest

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Further explanation

Let's recall Kinetic Energy Formula as follows:

$Ek = \frac{1}{2}mv^2$

Ek = Kinetic Energy ( Joule )

m = mass of the object ( kg )

v = speed of the object ( m/s )

Let us now tackle the problem !

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Complete Question:

A hockey puck is given an initial speed of 5.0 m/s. If the coefficient of kinetic friction between the puck and the ice is 0.05, how far does the puck slide beofre coming to rest? (Solve this problem using conservation of energy in detail.)

Given:

initial speed of the puck = v = 5.0 m/s

coefficient of friction = μ = 0.05

Asked:

distance = d = ?

Solution:

$W = \Delta Ek$

$fd = \frac{1}{2}mv^2$

$\mu N d = \frac{1}{2}mv^2$

$\mu mgd = \frac{1}{2}mv^2$

$\mu g d = \frac{1}{2}v^2$

$d = (\frac{1}{2}v^2) \div (\mu g)$

$d = (\frac{1}{2} \times 5^2) \div (0.05 \times 9.8)$

$d \approx 26 \texttt{m}$

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Learn more

• Impacts of Gravity : brainly.com/question/5330244
• Effect of Earth’s Gravity on Objects : brainly.com/question/8844454
• The Acceleration Due To Gravity : brainly.com/question/4189441
• Newton's Law of Motion: brainly.com/question/10431582
• Example of Newton's Law: brainly.com/question/498822

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Answer details

Grade: High School

Subject: Physics

Chapter: Dynamics

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Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant