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A 7kg box is sitting on a horizontal, level, perfectly frictionless patch of ice. Two magical winds, one blowing from south to north, and one blowing from west to east, blow against the box. The first wind exerts a constant force of 63N towards the north (at 90o) and the second wind exerts a constant force of 34N towards the east (at 0o). What is the net force (magnitude and direction) is exerted on the box? What is the acceleration (magnitude and direction) is exerted on the box?

Solve the system of equations using any method: x  – 2 y + 3 z = 1 2 x  –  y + 2 z = 2 4 x  +  y + 2 z = 2 What is the value of in the solution?

You accidentally drop your fork off your table at an outdoor café. As you lean over to pick it up, a particularly annoying goose steals the fork. It then runs exactly 40 meters east, then turns and runs exactly 75 meters north, then flies 35 meters vertically directly up in the air to a tree branch where it stands, turns its head, holding your fork in its beak, mocking you. Exactly how far away is the goose from the spot on the ground where it stole your fork? In the two-dimensional plane of the ground, assuming that east is the positive x-axis, what angle is made between the x-axis and the spot on the ground the goose was just before it flew up to its branch?

Two astronauts are arguing in space. Astronaut Alvin has a mass of 89kg and Astronaut Baxter has a mass of 106kg (from our point of view, Alvin is on the left and Baxter is on the right). It’s been a very long mission and Alvin has finally gotten tired of dealing with Baxter’s nonsense and pushes him with a force of 130N.  What force is exerted on Alvin? What is Baxter’s acceleration? What is Alvin’s acceleration?

As everyone knows, the greatest actor of this or any other generation is Nicholas Cage. In his 2020 film “Jiu Jitsu”, he explains that every six years a comet comes and causes a portal to open, through which a spaceman comes to earth after which chaos ensues.  Convert 6 years into seconds. If such a comet actually existed and had a circular orbit around the sun, what would be the orbital radius of this comet (the mass of the sun is 1.99×10^30 kg)? Nothing in the solar system orbits in circular orbits. What shape is the orbit of objects in the solar system?

A heat engine undergoes the following thermodynamic processes as it goes through it’s cycle: Step 1: Isovolumetric (isochoric) increase in pressure from Po to 5Po Step 2: Isobaric expansion from Vo to 4Vo Step 3: Isovolumetric (isochoric) decrease in pressure from 5Po to Po Step 4: Isobaric compression from 4Vo to Vo On your scratch sheet, draw the PV diagram for this cycle. What is the work done in one cycle of this engine in terms of the values given?

When is the final exam for this course? 

A physical therapist is evaluating a 55-year-old female with MS diagnosed 6 months ago in an outpatient clinic. The patient presents primarily with visual and sensory impairments and has not had any exacerbations since her initial diagnosis. Based on this patient’s demographic information and presentation, which of the following factors is predictive of faster disease progression for this patient?

Bonus:  Which theorist studied suicide to prove that sociology could be considered an academic discipline?  What was the objective behind the Stanford Prison Experiment? Give two ways that research ethics were violated in the Tuskegee Study?   Before we developed the need for written contractual agreements in the US, how did men seal a contract? (from the culture lecture) Explain why English is the most widely spoken language in the world?   

Which of the following is NOT true, according to the culture lecture?