Amusement Park CulminatingDynamics1) This amusement park has a water park section. Inside is a...

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Amusement Park CulminatingDynamics1)  This amusement park has a water park section. Inside is a waterslide that travels down on an incline at an angle of 60.0 degrees above the horizontal, and stands 50.0 m tall in the air. The frictional co-efficient between wet fiberglass and the raft is 0.25. How fast will the rider be going at the bottom of the slide? Must solve using forces, NOT energy.2) Pick a ride that undergoes centripetal motion. Describe what the rider feels during the ride. Research aspects such as the radius, period, etc. then perform calculations to show what the rider is feeling during the ride. Make it clear which ride you are using and provide sources for your research.Energy and Momentum3) a) Two bumper cars travel towards each other as pictured below. The blue one is 635 kg and travels at 5.34 m/s, and the green one is 534 kg and travels at 6.37 m/s. After the collision the green car is traveling at 5.40 m/s. What is the magnitude and direction of the velocity of the blue car?47°62°θ20°) Is this collision elastic or inelastic? Describe mathematically and conceptually.4) For this question, you will be basing your answers on the ride in the following video: Nothing but Net https:www.youtube.com/watch?v=1VHJyC3P5MkTo simplify the situation, let’s say the rider’s energy is absoed only by the four stretchy elastics at each corner of the net. What is the k value of each cord (assume they are all equal)? If the ride is 30 m tall, and the net extends 1.5 meters at most. You will assume the rider’s mass.Fields5) Old fashioned bumper cars are powered by a charged ceiling and floor. A pole on the bumper car connects these two charged surfaces to give the car cuent to run. The difference in voltage between the plates is typically around 48 V. Estimate the height difference between the ceiling and floor. When radon in the ground decays it releases an alpha particle. Assuming the ceiling is negatively charged, the alpha particle could be accelerated towards the celling. It is not good for people to be hit with accelerated alpha particles. Mathematically show if this is something we need to be concerned about.Light6) At night. the amusement park puts on a firework display and hands out “fireworks glasses”a) What type of slit is this, single, double, or multi? And now do you know?) The fire work is 45 m away, make assumptions about the spacing of ight spots and wavelength. Depending on your answer to part a, determine the slit width or distance between slits.c) Why did the white light disperse into colours?Modern Physics7) The amusement park is trying to incorporate more eco-friendly practices. As a result, they are installing solar panels to help power the park. If the panel is made of silicon metal with a work function of 4.7 eV and some green light from a fire work lands on it, will the panel generate any cuent? If yes, state with what velocity the electrons leave the plate, if no, how much more energy would be needed to eject an electron?    Criteria    Guiding Question    Level 4    Level 3    Level 2    Level 1    R    A1.12) Use appropriate numeric, symbolic, and graphic modes of representation    Did I communicate formulas, plug ins and units appropriately?    expresses and organizes ideas and information with a high degree of effectiveness    expresses and organizes ideas and information with a considerable degree of effectiveness    expresses and organizes ideas and information with some degree of effectiveness    expresses and organizes ideas and information with a limited degree of effectiveness        A1.13) Express the results of any calculations involving data to the appropriate number of significant digits    Did I use significant digits appropriately?    Expresses and organizes ideas and information with a high degree of effectiveness    Expresses and organizes ideas and information with a considerable degree of effectiveness    expresses and organizes ideas and information with some degree of effectiveness    expresses and organizes ideas and information with a limited degree of effectiveness        B2.2) Solve problems related to motion, including projectile, by using vector diagrams, vector components, and algeaic methods.     How well was I able to use components on my FBD and in my calculations to solve the slide problem?    Uses critical/creative thinking processes, skills, and strategies with a high degree of effectiveness    Uses critical/creative thinking processes, skills, and strategies with a high degree of effectiveness    Uses critical/creative thinking processes, skills, and strategies with a high degree of effectiveness    Uses critical/creative thinking processes, skills, and strategies with a high degree of effectiveness        B2.6) Analyze the forces and the acceleration experienced by an object in uniform circular motion    How well was I able to describe what the rider felt using conceptual and computational knowledge?    uses processing skills with a high degree of effectiveness    uses processing skills with considerable effectiveness    uses processing skills with some effectiveness    uses processing skills with limited effectiveness        C2.6) Analyze, in qualitative and quantitative terms, elastic and inelastic collisions in one and two dimensions, using the laws of conservation of momentum and conservation of energy, and solve related problems    Was I able to use conservation of momentum to solve for the velocity of the initial pinball?Was I able to calculate and discuss conservation of energy in the pinball collision?    transfers knowledge and skills to new contexts with a high degree of effectivenesstransfers knowledge and skills to new contexts with a high degree of effectiveness    transfers knowledge and skills to new contexts with considerable effectivenesstransfers knowledge and skills to new contexts with considerable effectiveness    transfers knowledge and skills to new contexts with some effectivenesstransfers knowledge and skills to new contexts with some effectiveness    transfers knowledge and skills to new contexts with limited effectivenesstransfers knowledge and skills to new contexts with limited effectiveness        C2.3) Analyze types of energy in one and two dimensions, and use the law of conservation of energy to solve problems     Was I able to solve for the spring constant of each elastic using conservation of energy?    transfers knowledge and skills to new contexts with a high degree of effectiveness    transfers knowledge and skills to new contexts with considerable effectiveness    transfers knowledge and skills to new contexts with some effectiveness    transfers knowledge and skills to new contexts with limited effectiveness        D2.3) Analyze, and solve problems involving electric forces, fields, energy, and potential    How well was I able to determine if the alpha particles posed a hazard to park goers?    uses processing skills with a high degree of effectiveness    uses processing skills with considerable effectiveness    uses processing skills with some effectiveness    uses processing skills with limited effectiveness        E2.4) Analyze diffraction and interference of light waves, and solve related problems.    Was I able to tell, and calculate, the type of slit on the 3D firework glasses?    uses processing skills with a high degree of effectiveness    uses processing skills with considerable effectiveness    uses processing skills with some effectiveness    uses processing skills with limited effectiveness        E3.3) Use the concepts of refraction, diffraction, polarization, and wave interference to explain the separation of light into colours in various situations    Was I able to describe why the glasses separate light into its components?    demonstrates thorough understanding of content    demonstrates considerable understanding of content    demonstrates some understanding of content    demonstrates limited understanding of content        F2.2) Solve problems related to the photoelectric effect, the Compton effect, and de Broglie’s matter waves.    How well did I solve the problem of green light on the solar panel?    uses critical/ creative thinking processes, skills, and strategies with a high degree of effectiveness    uses critical/ creative thinking processes, skills, and strategies with considerable effectiveness    uses critical/ creative thinking processes, skills, and strategies with some effectiveness    uses critical/ creative thinking processes, skills, and strategies with limited effectiveness-    Overall:

Sayantan · Accepted Answer

AMUSEMENT PARK CULMINATING ANSWER:
1.     
The free body diagram of the man in the slide is shown above. The cosine component of the weight is balanced by the normal reaction vertically upwards as depicted in the figure. 
The sin component of the weight along the slides provides the required force for the man to slide down. But there is a friction component between the raft and the wet fiberglass which is given as 0.25. 
Therefore, 
Canceling m from both sides, 
……
Putting the values of all the given parameters and taking g as 10ms-2, we have a= 7.41 ms-2.
Now to find the final velocity at the bottom of the slide, we use the formula 
Considering the slide starts from rest, u = 0.
Therefore taking h= 50m we get v = 27.22 ms-1.
2. The ride in this discussion that directly picks up centripetal motion are the famous Ferris Wheels. They directly deal with centripetal acceleration. The Ferris wheel is a proper example where centripetal force comes into action and the riders have a perception of feeling heavy and feeling light at different positions inside the ferris wheel. The following explanation is done with [1] as a reference. 
Now in order to realize a Ferris wheel let us have a look in the structure of Ferris wheel. 
As clearly seen, the Ferris wheel consists of an wheel which stands upright ith seats which are also termed as gondolas that are occupied by passengers or riders. The seats are at all-time connected to the Ferris wheel that they can freely swing when the wheel is in motion. Because of this, the seats always hang vertically downwards. 
We now use a simplified diagram for the explanation of a Ferris wheel problem.
In the above figure, let us consider two positions of the rider one at position 2 and other at position 1. Let us assume R be the radius of the ferris wheel and ω be the angular velocity of the Ferris wheel. The net force acting on the rider at each position will be the resultant of the forces acting due to gravity and the forces that come to play because of centripetal acceleration. The freebody diagrams of the rider at position 1 and 2 are given                                              
									(2) FBD at point 2
(1) FBD at point 1
Now for point 1, , which gives 
Similarly at point 2, , which gives 
Thus from the above two equations, N at point 2 is greater than N at point 1. Which means that the normal reaction at the point when the seats go up is much more than the normal force when the seats come down. So N2> N1.
The centripetal acceleration is given by  where a is basically pointed to the centre of the circla. So when the rider is at point 1 the centripetal acceleration points downwards and at point 2, the acceleration points upwards. From the above equation we can derive that
At point 1,  and at point 2, . So the effect of normal reaction is more on the rider at the bottom than at the up. This is why the rider feels the heaviest at the bottom and feel the lightest at the top. 
3. 
a. The problem given in 3(a) is a classic example of inelastic collision in two dimensions. The diagram supporting the given problem is given as follows:
In the above figure,

Amusement Park Culminating Dynamics 1) This amusement park has a water park section. Inside is a waterslide that travels down on an incline at an angle of 60.0 degrees above the horizontal, and stands...

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