Scenario You have a new job working as designer for a new theme park. You have...

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Scenario You have a new job working as designer for a new theme park. You have been tasked with designing two new attractions - one must be a go kart racetrack, and the other must be a food stand that serves fresh donuts, candy floss and sweets. Question 1 - Food stand (AC2.1, 2.2, 2.3, 4.1 & 4.2) You need to choose the correct oil for the donut fryer (power of the fryer is 2000W). The oil has plenty of time to heat up before opening, and you need it to stay as hot as possible to reduce the energy consumption when keeping the oil hot all day. You design an experiment to calculate the specific heat capacities of the oil. a) You decide to run your experiment for 5 minutes. Your results are in the table below. Use them to calculate the specific heat capacity of each oil, then choose an oil for your fryer based on these results. Oil type Mass (kg) 2.3kg 2.1kg 3.2 kg Corn oil Vegetable oil Lard Temperature at the start (C) 40 40 40 Temperature at the end (C) 182 211 123 b) You realise that lard is solid when you take it out of the fridge. You decide to run an experiment starting from solid state. The graph of your results is below. Describe what is happening at each section of the graph. Then use this to calculate the total energy needed to heat 3.2kg of lard at 3C out of the fridge to frying temperature of 200C. The latent heat of fusion of lard is 60kJkg- The specific heat capacity of lard when solid is 1.3kJkg- C-1 250 200 150 100 50 0 Lard Heating Graph 10 20 30 Time (minutes) # 40 50 c) One of the bestselling items at the stall are gummy worms, so you decide to perfect the recipe. The ideal gummy will stretch a little as you bite into it, but not too much. The mold you use produces worms with a length of 0.1m and a diameter of 0.03m. You narrow it down to two recipes. In the graph below are the two possible options you produce when you hang weights from the bottom of your two most likely gummy worms and measure the extension. 8 6 Force (N) 0 0.2 0.4 Extension (cm) 0.6 0.8 Calculate the Young Modulus of the gummy worms by converting one of the options into a stress/ strain graph (to be shown with your answers) and the other by using calculations. Choose which gummy worm you think would be better and explain why. Question 2 - Go Kart Track (AC1.1, 1.2, 3.1, 3.2, 5.1 & 5.2) Your go karts have a mass of 450kg and travel around a circular curve on a flat, horizontal track at a radius of 42 m. a) Draw a diagram to show the go kart on the track and add an arrow to show the direction of the frictional force needed for the car to travel around the curve at a radius of 42 m. b) The maximum frictional force between the tyres and the road is equal to 20% of the weight of the car and driver. Calculate the coefficient of friction when an adult of mass 70kg is driving the kart. c) Calculate maximum angular velocity at which the car can travel round the curve at a constant radius of 42 m. d) Calculate the maximum linear velocity. e) You decide that this is not nearly fast enough and decide to create a banked track of 120, what is the maximum linear velocity now? f) Describe qualitatively how this could change if a child were driving the kart. g) It is important that the karts can brake effectively. They use drum brakes where a solid circular drum of mass 4.0 kg and radius 0.15 m is rotating at an angular speed of 22 rad s1 about an axis when a braking' torque is applied to it which brings it to rest in 5.8 s. Calculate i) its angular deceleration when the braking torque is applied. ii) the moment of inertia of the drum about the axis shown 1 = 1/2mr iii) the resultant torque that causes it to decelerate. Scenario You have a new job working as designer for a new theme park. You have been tasked with designing two new attractions - one must be a go kart racetrack, and the other must be a food stand that serves fresh donuts, candy floss and sweets. Question 1 - Food stand (AC2.1, 2.2, 2.3, 4.1 & 4.2) You need to choose the correct oil for the donut fryer (power of the fryer is 2000W). The oil has plenty of time to heat up before opening, and you need it to stay as hot as possible to reduce the energy consumption when keeping the oil hot all day. You design an experiment to calculate the specific heat capacities of the oil. a) You decide to run your experiment for 5 minutes. Your results are in the table below. Use them to calculate the specific heat capacity of each oil, then choose an oil for your fryer based on these results. Oil type Mass (kg) 2.3kg 2.1kg 3.2 kg Corn oil Vegetable oil Lard Temperature at the start (C) 40 40 40 Temperature at the end (C) 182 211 123 b) You realise that lard is solid when you take it out of the fridge. You decide to run an experiment starting from solid state. The graph of your results is below. Describe what is happening at each section of the graph. Then use this to calculate the total energy needed to heat 3.2kg of lard at 3C out of the fridge to frying temperature of 200C. The latent heat of fusion of lard is 60kJkg- The specific heat capacity of lard when solid is 1.3kJkg- C-1 250 200 150 100 50 0 Lard Heating Graph 10 20 30 Time (minutes) # 40 50 c) One of the bestselling items at the stall are gummy worms, so you decide to perfect the recipe. The ideal gummy will stretch a little as you bite into it, but not too much. The mold you use produces worms with a length of 0.1m and a diameter of 0.03m. You narrow it down to two recipes. In the graph below are the two possible options you produce when you hang weights from the bottom of your two most likely gummy worms and measure the extension. 8 6 Force (N) 0 0.2 0.4 Extension (cm) 0.6 0.8 Calculate the Young Modulus of the gummy worms by converting one of the options into a stress/ strain graph (to be shown with your answers) and the other by using calculations. Choose which gummy worm you think would be better and explain why. Question 2 - Go Kart Track (AC1.1, 1.2, 3.1, 3.2, 5.1 & 5.2) Your go karts have a mass of 450kg and travel around a circular curve on a flat, horizontal track at a radius of 42 m. a) Draw a diagram to show the go kart on the track and add an arrow to show the direction of the frictional force needed for the car to travel around the curve at a radius of 42 m. b) The maximum frictional force between the tyres and the road is equal to 20% of the weight of the car and driver. Calculate the coefficient of friction when an adult of mass 70kg is driving the kart. c) Calculate maximum angular velocity at which the car can travel round the curve at a constant radius of 42 m. d) Calculate the maximum linear velocity. e) You decide that this is not nearly fast enough and decide to create a banked track of 120, what is the maximum linear velocity now? f) Describe qualitatively how this could change if a child were driving the kart. g) It is important that the karts can brake effectively. They use drum brakes where a solid circular drum of mass 4.0 kg and radius 0.15 m is rotating at an angular speed of 22 rad s1 about an axis when a braking' torque is applied to it which brings it to rest in 5.8 s. Calculate i) its angular deceleration when the braking torque is applied. ii) the moment of inertia of the drum about the axis shown 1 = 1/2mr iii) the resultant torque that causes it to decelerate.