Essential Equations
Unique Units
Studiable Scenarios
Scalar or Vector?
*Kinematics Derby*
100
This integer is the number of equations relating vi, vf, a, t, and d, a set of formulas found on the reference table's final page.
What is "three"?
100
Famous for receiving cranial trauma from a fallen apple (among other feats), this scientist lent his name to the units used when measuring force.
Who was Isaac Newton?
100
When an object is thrown in an arc, its vertical velocity reaches this value at its zenith (or peak).
What is 0 m/s?
100
When it comes to the question of whether an object's velocity is a scalar or vector quantity, this option is decidedly the answer.
What is a vector quantity?
100
Objective:
On whiteboards, prove mathematically that Newtons per kilogram are equivalent to meters per second squared, 𝗯𝗲𝗳𝗼𝗿𝗲 𝗮𝗻𝘆 𝗼𝘁𝗵𝗲𝗿 𝘁𝗲𝗮𝗺.
One possible solution.
200
If an object's velocity is doubled, we can expect the same object's kinetic energy to be increased by this factor.
What is "by four"?
200
Despite sharing a first initial, Watts do not measure a quantity of work; instead, they measure this value.
What is power?
200
A 140-kilogram mako shark glides through the sea at 18 meters per second. This value represents the shark's momentum, in kilogram-meters per second.
What are 2,520 kilogram-meters per second?
200
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Afterwards, go to the "response" page to view your question.
It may prove difficult to ascertain whether the spring constant is a scalar or vector quantity- rest assured, they are this variety of quantity.
200
Objective:
With 𝟭 𝗺𝗶𝗻𝘂𝘁𝗲 to prepare, act out an elastic and an perfectly inelastic collision between two objects, played by two members of your team. The 𝗺𝗼𝘀𝘁 𝗱𝗿𝗮𝗺𝗮𝘁𝗶𝗰 reenactment wins.
Results to be judged by Mr. Luisi.
300
While the variable μ may use the same symbol as the metric prefix "micro-", the reference table tells us it also stands for the coefficient of friction, as found in this equation.
What is Ff = μFN ?
300
The value measured in these units, which feature the smallest unit symbol of those featured in regents physics, can also be measured in radians.
What are degrees (°)?
300
While racing in Monaco, an F1 driver increases her car's speed from 60 meters per second to 65 meters per second. In total, this maneuver lasts 2 seconds, and accelerates her car an average of this value (in meters per second squared).
What is 2.5 m/s2 ?
300
While many people have undoubtedly pondered whether time is a scalar or vector quantity, know that it is certainly this kind.
What is a scalar quantity?
300
Objective:
With 𝟱 𝗺𝗶𝗻𝘂𝘁𝗲𝘀 to prepare, construct a paper airplane, to be thrown across the room by a teammate. The airplane with the 𝗹𝗮𝗿𝗴𝗲𝘀𝘁 𝗱𝗶𝘀𝗽𝗹𝗮𝗰𝗲𝗺𝗲𝗻𝘁 𝘀𝗽𝗲𝗻𝘁 𝗮𝗶𝗿𝗯𝗼𝗿𝗻 wins.
The airplane with the largest displacement spent airborn wins.
400
As an object's mass increases, its acceleration changes in this way.
What is "decreases"?
400
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This variable stands for one of the few quantities represented on the reference table without units.
400
At a fairground, two carousels spin at the same velocity. They are identical in every way, except that carousel A's turnstile has twice the radius of carousel B's. Compared to its twin, carousel A's acceleration differs by this factor.
What is "by half"?
400
Whether measured in degrees or radians, when it comes to vector or scalar an angle's measure is undoubtedly this type of quantity.
What is a scalar quantity?
400
Objective:
With 𝟭 𝗺𝗶𝗻𝘂𝘁𝗲 to prepare and memorize, elect 1 member of your team to represent you. Without using the reference table, they must correctly identify the meaning of 𝘁𝗵𝗿𝗲𝗲 𝘃𝗮𝗿𝗶𝗮𝗯𝗹𝗲𝘀 listed along the righthand side of the reference table, chosen 𝗮𝘁 𝗿𝗮𝗻𝗱𝗼𝗺 𝗯𝘆 𝗠𝗿. 𝗟𝘂𝗶𝘀𝗶. Once all elected teammates have been quizzed, the team with the 𝗺𝗼𝘀𝘁 𝘃𝗮𝗿𝗶𝗮𝗯𝗹𝗲𝘀 𝗰𝗼𝗿𝗿𝗲𝗰𝘁 wins. In the event of a tie, the team with the least amount of points wins.
The team with the most variables correct wins. In the event of a tie, the team with the least amount of points wins.
500
An object's power can be determined by dividing the product of its force and displacement by this variable.
What is time?
500
While Earth's acceleration due to gravity (9.81) is commonly shown in m/s2 (meters per second squared), it is also frequently represented in these units.
What are N/kg (Newtons per kilogram)?
500
A captain sails his ship 7NMi South of the harbor, then 6 NMi East, realizing his mistake, he then corrects course and sails 4 NMi North and 2NMi West. Overall, his ship has travelled a distance of 20 nautical miles, and has been displaced this number of nautical miles Southeast.
What are 5 NMI Southeast?
500
Many good physics students know an object's mass mass to be a scalar quantity. However, divide that mass by two, and multiply it by the object's velocity squared, and the answer becomes much more complex. Rest assured, the resulting value is decidedly this kind of quantity.
What is a vector quantity?
500
Objective:
Solve the following kinematics problem 𝗯𝗲𝗳𝗼𝗿𝗲 𝗮𝗻𝘆 𝗼𝘁𝗵𝗲𝗿 𝘁𝗲𝗮𝗺.
A model rocket launches with an initial velocity of 30 meters per second. Due to a sudden breeze, its launch platform is tilted a full 15° from the horizon as it launches. Determine the rocket's 𝘁𝗶𝗺𝗲 𝗼𝗳 𝗳𝗹𝗶𝗴𝗵𝘁 in seconds, its 𝗵𝗼𝗿𝗶𝘇𝗼𝗻𝘁𝗮𝗹 𝗱𝗶𝘀𝘁𝗮𝗻𝗰𝗲, in meters and its 𝗽𝗲𝗮𝗸 𝗵𝗲𝗶𝗴𝗵𝘁 in meters.
Time of flight: ≈ 6 seconds
Horizontal distance: ≈ 45 meters
Peak height:≈ 42 meters