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What is your speed at the top of the hill after you leave the "spring"? Vtop = What is your speed after sliding to the bottom of the hill? m Vbottom At the bottom of the hill, you reach a horizontal section where the ground is covered in straw. This straw adds friction to slow the sled down. The coefficient of kinetic friction between the ground and the sled is 0.47. How far do you slide along the straw until you come to a complete stop? d =

What is your speed at the top of the hill after you leave the "spring"? Vtop = What is your speed after sliding to the bottom of the hill? m Vbottom At the bottom of the hill, you reach a horizontal section where the ground is covered in straw. This straw adds friction to slow the sled down. The coefficient of kinetic friction between the ground and the sled is 0.47. How far do you slide along the straw until you come to a complete stop? d =

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**Straw-covered Portion** 1. **What is your speed at the top of the hill after you leave the "spring"?** \( v_{\text{top}} = \_\_\_\_\_\_ \, \text{m/s} \) 2. **What is your speed after sliding to the bottom of the hill?** \( v_{\text{bottom}} = \_\_\_\_\_\_ \, \text{m/s} \) --- At the bottom of the hill, you reach a horizontal section where the ground is covered in straw. This straw adds friction to slow the sled down. The coefficient of kinetic friction between the ground and the sled is **0.47**. **How far do you slide along the straw until you come to a complete stop?** \( d = \_\_\_\_\_\_ \, \text{m} \)
Transcribed Image Text:**Straw-covered Portion** 1. **What is your speed at the top of the hill after you leave the "spring"?** \( v_{\text{top}} = \_\_\_\_\_\_ \, \text{m/s} \) 2. **What is your speed after sliding to the bottom of the hill?** \( v_{\text{bottom}} = \_\_\_\_\_\_ \, \text{m/s} \) --- At the bottom of the hill, you reach a horizontal section where the ground is covered in straw. This straw adds friction to slow the sled down. The coefficient of kinetic friction between the ground and the sled is **0.47**. **How far do you slide along the straw until you come to a complete stop?** \( d = \_\_\_\_\_\_ \, \text{m} \)
**Sledding with Physics: Using a Bungee Cord** *Scenario:* After the first snow of the year, you decide to go sledding. You find a hill that is 39 meters high to slide down. After a couple of trips, you want to go faster, so you use a bungee cord to give you a head start at the top of the hill. The bungee cord can be treated like a spring with a spring constant of 178 N/m. You have a mass of 72 kg and you compress your "spring" by a distance of 1.6 meters before beginning your ride. There is no friction at the top of the hill or on the hill. *Diagram Explanation:* The diagram shows a bungee or spring setup at the top left, followed by a horizontal line that represents the top of the hill. This leads to a sloped line, indicating the descent down the hill which is 39 meters high. The final portion is a straw-covered section at the bottom of the hill, indicated by a red line. *Calculations:* - **v_top:** the speed at the top of the hill after you leave the "spring". \( v_{\text{top}} = \quad \boxed{\text{m/s}} \) - **v_bottom:** the speed after sliding to the bottom of the hill. \( v_{\text{bottom}} = \quad \boxed{\text{m/s}} \) Use these parameters in your calculations to explore the physics of sledding with the aid of a bungee cord.
Transcribed Image Text:**Sledding with Physics: Using a Bungee Cord** *Scenario:* After the first snow of the year, you decide to go sledding. You find a hill that is 39 meters high to slide down. After a couple of trips, you want to go faster, so you use a bungee cord to give you a head start at the top of the hill. The bungee cord can be treated like a spring with a spring constant of 178 N/m. You have a mass of 72 kg and you compress your "spring" by a distance of 1.6 meters before beginning your ride. There is no friction at the top of the hill or on the hill. *Diagram Explanation:* The diagram shows a bungee or spring setup at the top left, followed by a horizontal line that represents the top of the hill. This leads to a sloped line, indicating the descent down the hill which is 39 meters high. The final portion is a straw-covered section at the bottom of the hill, indicated by a red line. *Calculations:* - **v_top:** the speed at the top of the hill after you leave the "spring". \( v_{\text{top}} = \quad \boxed{\text{m/s}} \) - **v_bottom:** the speed after sliding to the bottom of the hill. \( v_{\text{bottom}} = \quad \boxed{\text{m/s}} \) Use these parameters in your calculations to explore the physics of sledding with the aid of a bungee cord.
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