8) A 25 kg bear slides, from rest, 12.0 m down a pine tree, moving with a speed of 5.6 m/s just before hitting the ground. (a) What change occurs in the gravitational potential energy of the bear-Earth system during the slide? (b) What is the kinetic energy of the bear just before hitting the ground? (c) What is the average frictional force that acts on the sliding bear?

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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Ser in are stoned hat and our in heaving aspit or orsus bear-Earth system during the slide? (b) What is the kinetic energy of the bear just before hitting the ground? (c) What is the average frictional force that acts on the sliding bear? Could you draw picture and show all work equations
**Problem 8:**

A 25 kg bear slides, from rest, 12.0 m down a pine tree, moving with a speed of 5.6 m/s just before hitting the ground. 

(a) What change occurs in the gravitational potential energy of the bear–Earth system during the slide?

(b) What is the kinetic energy of the bear just before hitting the ground?

(c) What is the average frictional force that acts on the sliding bear?
Transcribed Image Text:**Problem 8:** A 25 kg bear slides, from rest, 12.0 m down a pine tree, moving with a speed of 5.6 m/s just before hitting the ground. (a) What change occurs in the gravitational potential energy of the bear–Earth system during the slide? (b) What is the kinetic energy of the bear just before hitting the ground? (c) What is the average frictional force that acts on the sliding bear?
**Physics Problem Flow Chart**

1. **Draw a picture**
   - Label which directions are positive (x- and y-), and label relevant quantities on diagram.

2. **Draw a second picture...**
   - If you have BEFORE/AFTER situations, force additions, vector component diagrams.

3. **Identify explicitly given values**
   - Write all given actual numbers in terms of variables. For previously calculated values, use values before rounding for significant figures.

4. **Identify implicitly given values**
   - Wording that implies specific values: e.g., “at rest”, “comes to a stop”, “dropped”, “smooth surface”, “constant velocity”.

5. **Identify required quantity and type of problem**
   - Look for keywords like “when”, “how far”, “how fast”, etc. Get type of problem from quantities given/sought.

6. **Calculate/convert easily derived quantities**
   - For example, the x- and y-components of velocity/force vectors, or the force of gravity given the mass.

7. **Find relevant equation(s)**
   - One that links the given quantities to the quantity you need to find.

8. **Find a second equation...**
   - If you’re missing a quantity needed to use an equation. Draw up a plan on how to link the equations & quantities.

9. **Solve for the quantity without using numbers**
   - First cancel any quantities that are zero. Use algebra to isolate the quantity you need on one side of the equals sign. Check with dimensional analysis.

10. **Sub in numbers on paper**
    - Make sure units of each number are correct before you substitute in values into the equations.

11. **Use calculator to find value**
    - Use as few presses of the “=” or “ENTER” button as possible. Keep extra significant figures until next step.

12. **Write conclusion statement with correct sig figs**
    - In plain English with correct units.
Transcribed Image Text:**Physics Problem Flow Chart** 1. **Draw a picture** - Label which directions are positive (x- and y-), and label relevant quantities on diagram. 2. **Draw a second picture...** - If you have BEFORE/AFTER situations, force additions, vector component diagrams. 3. **Identify explicitly given values** - Write all given actual numbers in terms of variables. For previously calculated values, use values before rounding for significant figures. 4. **Identify implicitly given values** - Wording that implies specific values: e.g., “at rest”, “comes to a stop”, “dropped”, “smooth surface”, “constant velocity”. 5. **Identify required quantity and type of problem** - Look for keywords like “when”, “how far”, “how fast”, etc. Get type of problem from quantities given/sought. 6. **Calculate/convert easily derived quantities** - For example, the x- and y-components of velocity/force vectors, or the force of gravity given the mass. 7. **Find relevant equation(s)** - One that links the given quantities to the quantity you need to find. 8. **Find a second equation...** - If you’re missing a quantity needed to use an equation. Draw up a plan on how to link the equations & quantities. 9. **Solve for the quantity without using numbers** - First cancel any quantities that are zero. Use algebra to isolate the quantity you need on one side of the equals sign. Check with dimensional analysis. 10. **Sub in numbers on paper** - Make sure units of each number are correct before you substitute in values into the equations. 11. **Use calculator to find value** - Use as few presses of the “=” or “ENTER” button as possible. Keep extra significant figures until next step. 12. **Write conclusion statement with correct sig figs** - In plain English with correct units.
Expert Solution
Step 1: Given data and illustration:

text Mass of the bear: end text
M equals 25 space k g

text Vertical distance travelled: end text
h equals 12 space m

text Final velocity: end text
v equals 5.6 space m divided by s

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