Mathematical Conventions
Speed, Velocity, & Acceleration
Kinetic & Potential Energy
Work, Force, & Efficiency
Mix it up
100

The formula Ep = mgh rearranged to solve for h.

What is h = 

100

Rearrange the Ek formula to solve for velocity.



100

The current theory of heat defines heat as the transfer of thermal energy to a substance. It describes the motion of particles and how heating up a substance makes them more faster. This theory is called...

The Kinetic Molecular Theory

100

A student carries their backpack horizontally across a room. Why is there no work done, by the student, on the bag?

Students force on bag is vertical, movement of bag is horizontal. 

For work to happen, the force and direction of movement must be in same direction.

100

Write 235 987 km with 3 significant digits.

2.36 x 10km

200

Calvin is running away from Susie. He runs 25m[N], 35m[E], 45m[S], 35m[W], and 20m[N]. 

What is Calvin's displacement?

N/S: 25m+(-45m)+20m = 0

E/W: 35m+(-35m) = 0

200

Which of the following is a vector quantity - mass, or weight?

Weight, and it is the force of gravity acting on an object. 

For example, an object with a mass of 2 kg (scalar); and a weight of 5N[down]

200

Energy cannot be created or destroyed, but it can be transformed from one form to another, or transferred from one object to another.

First Law of Thermodynamics

200

What is the work done in the first 6m? 


W=area between graph and axis

A=1/2 x base x height (triangle)

A=1/2 x (6m) x (6N)

A= 18J

200

What is 50 km/h in m/s.

14 m/s

300

What will the corresponding velocity-time graph look like?


300

Starting from the highest point the kids reach, list the energy conversions that occur until they 'return' to the highest point.


gravitational potential --> kinetic --> elastic potential --> kinetic --> gravitational potential

300

What Law will ensure this man doesn't get smacked in the face by the bowling all when he drops it?


The Law of Conservation of Energy

300

What is the SI unit for Joule?

J=(kg*m^2)/s^2

300

What is the name of the variable in a lab that you measure?

Responding variable

400

Can be expanded to....


400

Fill in the blanks to complete the energy conversions to make electricity in this hydroelectric plant. 

Gravitational Potential --> ___ --> ___ --> Electric E


Gravitational Potential --> Kinetic E in Water --> Kinetic E turns turbine --> Electrical E

400

Which law explains why we cannot make a machine 100% efficient?

The Second Law of Thermodynamics

400

The formula for finding work

W=Fd

400

This type of motion involves traveling at a constant speed, in the same direction.

Uniform motion.

500

This graph shows a Hobbes walk from home. Put the descriptions in order: Assume East is +ve.

A - Hobbes has stopped moving

B- Hobbes walks West

C- Hobbes walks East


C, B, A

500

One of these amazing gentlemen drops his apple during lunch. It falls 420 m to the New York street below. How fast is it going just before it hits the ground?


Eptop=Ekbottom

mgh=1/2mv2

gh=(0.5)v2

(9.81m/s2)(420m)=(0.5)v2

v=90.8m/s

500

Which beaker (a or b) has more heat?

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

b --> both are at the same temperature (average kinetic energy of the substance), but b has more particles therefore more thermal energy.

500

If Calvin does 250 J of work while lifting a bag of candy into his treehouse how much gravitational potential energy does the bag of candy have?

Assume perfect world.

250J!

So in some cases W=E!!!

500

Technology is often driven by need. What need drove the development of the first practical steam engine?

The need to pump water out of the coal mines.