part с 55° расть v=11,2m/s r=8m part a a) Assuming that air resistance and friction are negligible, what speed will the roller coaster have when it is right-side up at the bottom of the loop? shini ali tort sove qdoula movig pič to as a riw doold AE wwob load obila at man bas givon egola si sicted me to grash edi qualoveni donid ed albold scito (03) 00 Isorandoste Isiini on brit (s Bould pr auf gris built (d b) The roller coaster begins its trip by being pulled up the "lift hill" by a chain lift and dropped after it reaches the top (meaning its speed is zero at the top of the hill.) Determine the height of the hill required to accomplish this. goota nokoli of grote holboold od ene tor (d) al swens diasd ggid ai () o towers ont (o bold ad nisan ob for his hoe doumwoll yow b sub spermad (b c) The lift hill is angled at 55° with respect to the horizontal. What force does the chain lift exert in order to pull the coaster train up that hill? The mass of a roller coaster train is 700kg. opitor to trapillous or bmit(

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### Roller Coaster Physics

#### Diagram Overview

The diagram illustrates a roller coaster system consisting of a lift hill (part c), a drop (part b), and a loop (part a). The loop's radius is indicated as \( r = 8 \, \text{m} \). A cart is shown at the top of the loop with a velocity \( v = 16.2 \, \text{m/s} \).

#### Questions

**a) Speed at the Bottom of the Loop**
- Assuming air resistance and friction are negligible, determine the speed of the roller coaster when it is right-side up at the bottom of the loop.

**b) Height of the Hill**
- The roller coaster starts its journey by being pulled up the "lift hill" via a chain lift and released when it reaches the top (meaning its speed is zero at the top of the hill). Calculate the height of the hill necessary for this motion.

**c) Force Exerted by the Chain Lift**
- Given that the lift hill is angled at \(55^\circ\) with respect to the horizontal, determine the force exerted by the chain lift to pull the coaster train up the hill. The mass of the roller coaster train is \(700 \, \text{kg}\).
Transcribed Image Text:### Roller Coaster Physics #### Diagram Overview The diagram illustrates a roller coaster system consisting of a lift hill (part c), a drop (part b), and a loop (part a). The loop's radius is indicated as \( r = 8 \, \text{m} \). A cart is shown at the top of the loop with a velocity \( v = 16.2 \, \text{m/s} \). #### Questions **a) Speed at the Bottom of the Loop** - Assuming air resistance and friction are negligible, determine the speed of the roller coaster when it is right-side up at the bottom of the loop. **b) Height of the Hill** - The roller coaster starts its journey by being pulled up the "lift hill" via a chain lift and released when it reaches the top (meaning its speed is zero at the top of the hill). Calculate the height of the hill necessary for this motion. **c) Force Exerted by the Chain Lift** - Given that the lift hill is angled at \(55^\circ\) with respect to the horizontal, determine the force exerted by the chain lift to pull the coaster train up the hill. The mass of the roller coaster train is \(700 \, \text{kg}\).
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