Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration


Physics For Scientists & Engineers
Found in: Page 237

Answers without the blur.

Just sign up for free and you're in.


Short Answer

A sled of mass m is given a kick on a frozen pond. The kick imparts to the sled an initial speed of 2.00 m/s. The coefficient of kinetic friction between sled and ice is 0.100. Use energy considerations to find the distance the sled moves before it stops.

The distance the sled moves before it stops is d=2.04 m

See the step by step solution

Step by Step Solution

Step 1: Definition of the non-isolated system

A non-isolated system is one for which energy crosses the boundary of the system. An isolated system is one for which no energy crosses the boundary of the system.

If a friction force of magnitude fk acts over a distance d within a system, the change in internal energy of the system is


Non isolated System (Energy): The most general statement describing the behavior of a non isolated system is the conservation of energy equation


Step 2: Calculating the distance

We could solve this problem using Newton’s second law, but we will use the non isolated system energy model, from using the equation (8.1) and (8.14) here written as -fkd=kf-ki, where the kinetic energy change of the sled after the kick results only from the friction between the sled and ice.

The weight and normal force both act at to the motion, and therefore do no work on the sled. The friction force is

role="math" localid="1663680345416" fk=μkn=μkmgd

Since the final kinetic energy is zero, we have


Solving, we get


Substituting the values, we get

d=2 m/s220.1009.8 m/s2=2.04 m

Thus, the distance is 2.04 m

Most popular questions for Physics Textbooks


Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.