Mock_Exam 1

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Michigan State University *

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PHY 183

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Feb 20, 2024

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PHY 183 Individual Exam #1 Fall 2023 1. NASA has placed a satellite in orbit about Europa (one of Jupiter’s many moons). The purpose of the satellite is to study the atmospheric conditions on Europa. The code below models the motion of the satellite as it undergoes uniform circular motion around Europa. Assume the base units used in the code are kilograms, meters, and seconds. (a) (10 points) What are the satellite’s initial position and momentum? r = p =
PHY 183 Individual Exam #1 Fall 2023 (b) (6 points) Calculate the net force acting on the satellite at the end of the first time the loop has been executed. (The same code is included above for ease of reference.) F net =
PHY 183 Individual Exam #1 Fall 2023 (c) (5 points) At what time does the script stop running? (The same code is included above for ease of reference.) t = (d) (4 points) List two assumptions necessary for the motion, as modeled by the given code.
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PHY 183 Individual Exam #1 Fall 2023 2. In the blockbuster hit of the summer, “Barbie” the movie, Margot Robbie as Barbie floats from the top of her dream house into her pink Corvette, because when you play with Barbie, why would she use the stairs? To achieve this effect, Robbie was hooked up to a harness and cables as shown in the image above. For reference, Margot Robbie has a mass of 56 kg. (a) (5 points) Given the diameter of the circular harness cable as .030 m, what is the cross-sectional area of the cable? Area = (b) (8 points) Using the solution from part (a), a bond length of 2 . 50 × 10 10 m, and interatomic spring stiffness of 1 . 02 × 10 2 N/m, a relaxed length of the cable of 8.5 m, and that there are 3 . 3 × 10 10 bonds in a chain, calculate the macroscopic stiffness of the wire. k s,wire =
PHY 183 Individual Exam #1 Fall 2023 (c) (7 points) If the dreamhouse is 9.0 m tall and Robbie walks off the roof for the stunt, where at the ground the cable is stretched to the full height of the dreamhouse(i.e. the total length of the stretched cable is 9m), what is the magnitude of the force of the spring exerted on Robbie? Model Robbie as a point mass. | F spring on Robbie | = (d) (5 points) Continuing from part c, what is the magnitude of the force Robbie ex- erted on the spring? | F Robbie on spring | =
PHY 183 Individual Exam #1 Fall 2023 3. There is trouble brewing in Barbie-Land, so Barbie has decided to make a break for the real world. She hops in her Barbie-Jeep, and starts heading towards the Barbie-Wall surrounding Barbie-Land. The combined mass of Barbie and the Barbie-Jeep is 1300 kg. (a) (7 points) There is a Barbie-Ramp that is perfectly positioned for the jump. The Barbie ramp is 30 meters away from Barbie’s current position, and the Barbie-Jeep starts at rest from the location shown in the diagram above. If the Barbie-Jeep is pushed by a force of 8,723 N from the state-of-the-art Barbie-Jeep-Engine, what will the speed of the Barbie-Jeep be once it reaches the Barbie-Ramp? Speed = (b) (6 points) The Barbie-Jeep stops accelerating as it reaches the Barbie-Ramp. If the Barbie-Ramp is oriented at an angle of 40 ° off the ground, what is the velocity of the Barbie-Jeep right as it jumps? Assume the ramp is negligibly short, such that it only changes the direction the Barbie-Jeep is moving. Express you result in terms of its horizontal and vertical components. ⃗v hor = ⃗v vert =
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PHY 183 Individual Exam #1 Fall 2023 (c) (6 points) If the Barbie-Wall is 37 meters away from the Barbie-Ramp, how long will the Barbie-Jeep take to cross the extended plane of the Barbie-Wall indicated by the dashed, vertical line in the diagram above? time = (d) (6 points) If the Barbie-Wall is 2 meters high, will she make it over the Barbie- Wall? Remember, you may ignore the height of the Barbie-Ramp, since its length is negligibly short. Assume that gravity in Barbie-Land is the same as it would be on Earth. Justify your response by calculation.
PHY 183 Individual Exam #1 Fall 2023 4. You are on a fancy hay ride pulled by the famous Clydesdale horse Wiser. The apple cart is clopping along a nice straight path through an apple orchard at ⃗v C/G = 8 . 75 , 0 , 0 m/s. All the sudden the wind picks up and your trusty lap blanket tries to fly away. The pesky wind is blowing at a constant velocity of ⃗v A/G 0 , 0 , 22 . 5 m/s. You manage to catch your blanket before it truly flies away and it is now streaming out behind you like a giant flag. (a) (9 points) On the diagram above, two velocity vectors are shown. Correctly label which represents ⃗v C/G and ⃗v A/G . Additionally, add in the velocity vector of the blanket flag relative to the ground, ⃗v F/G just before you catch it. (b) (6 points) Still fighting to get your blanket back into the cart, Your friend taking Engineering Physics at CMU claims since you have a greater mass than the blanket, the force of you pulling on the blanket is greater than the force of the blanket exerts on you as it tries to blow away. Is your friend correct? Justify your response.
PHY 183 Individual Exam #1 Fall 2023 (c) (10 points) Oh no! While the wind has stopped one of the apple trees that was shaken by the wind has now dropped a large apple. You can tell that it is falling from a branch that is 10m high and it is 15m ahead of you. Will you have to let go of your blanket to catch the apple? Will it knock poor Wiser on the head or land safely in the cart behind you? Remember that the horses are 2m long and you are sitting at the front of the Cart which is 3 meters long. time = where does the apple land =
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PHY 183 Individual Exam #1 Fall 2023 5. Question Bonus (a) (5 points) On the graphs below, plot the magnitude of the net force acting on the satellite and the x-component of the change in the satellite’s momentum. Do this for one complete orbit of the satellite. (The same code is included below for ease of reference.)
PHY 183 Individual Exam #1 Fall 2023 Extra Work (Please indicate which problem part you are solving here.)
PHY 183 Individual Exam #1 Fall 2023 DO NOT WRITE ON THIS PAGE
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