Theories, Concepts,
and Principles
Apply the Formula:
NO ROUNDING!
Apply the Formula:
ROUND!
Evaluate Squirrels:
NO ROUNDING!
Roller Coasters:
ROUND!
100

The principle that energy of a system stays constant if the system remains isolated.

What is "Conservation of Energy?"

100

Mass = 350 kg

Height = 40.0 m

Gravitational Acceleration = 10 m/s2

U= ______?

What is 140,000 J?

100

Mass = 2575 kg

Height = 23.4 m

Gravitational Acceleration = 9.81 m/s2

U= ______?

What is 591,000 J ?

100

A squirrel with mass = 3 kg, runs across the street with a speed of 3 m/s. 

Gravitational Acceleration = 10 m/s2

K + Ug = _____ ?

What is 13.5 J?

100

A roller coaster with a mass of 4,575 kg is at rest atop a hill 85.4 m high.

Gravitational Acceleration = 9.81 m/s2

Ug = ______ ?

What is 3,830,000 J?

200

Energy that is stored in the motion of an object.

What is Kinetic Energy?

200

Mass = 275 kg

Velocity = 18 m/s

K = ______?

What is 44,550 J?

200

Mass = 67.5 kg

Velocity = 13 m/s

K = ______?

What is 5,700 J ?

200

A squirrel with mass = 2.5 kg, runs along a tree branch 4.5 m above ground with a speed of 3.5 m/s. 

Gravitational Acceleration = 10 m/s2

K + Ug = _____ ?

What is 127.8 J?

200

At the beginning of a roller coaster ride, a cart with a mass of 1,725.0 kg is climbing up a Chain-Lift Hill that is 85 m tall with a constant velocity of 2.00 m/s. Half way up, its

K  = ______ ?

What is 3,450 J?

300

Energy stored in the vertical position of an object.

What is Gravitational Potential Energy?

300

Mass = 1468 kg

Height = 27 m

Gravitational Acceleration = 10 m/s2

Velocity = 12 m/s

K + Ug = _________?

What is 502,056 J ?

300

Mass = 12.6 kg

Height = 20.0 m

Gravitational Acceleration = 9.81 m/s2

Velocity = 12.1 m/s

K + Ug = _________?

What is 3,390 J

300

A squirrel with mass 3.2 kg, sits at rest on a branch 7.8 m above ground eating an acorn.

Gravitational Acceleration = 10 m/s2

K + Ug = ______ ?

What is 249.6 J?

300

After a big drop, a roller coaster cart with a mass of 3,150 kg is found moving with a speed of 32.5 m/s on a flat platform 15.8 m above ground.

K + Ug = _______ ? 

What is 2,150,000 J?

400

mgy

What is the formula for Gravitational Potential Energy?

400

Mass = 1250 kg

Height = 45 m

Gravitational Acceleration = 10 m/s2

Velocity = 25 m/s

TE = _________?

What is 953,125 J ?

400

Mass = 1250 kg

Height = 45 m

Gravitational Acceleration = 9.81 m/s2

Velocity = 25 m/s

TE = _________?

What is 940,000 J ?

400

A buff squirrel with mass = 12.5 kg, runs along a tree branch 1.5 m above ground with a speed of 0.5 m/s to scare some kids close by. 

Gravitational Acceleration = 10 m/s2

K + Ug = _____ ?

What is 189.1 J?

400

A roller coaster cart with a mass of 5,200 kg is moving with a speed of 11.5 m/s at the top of a loop-the-loop that has a radius of 10 m. 

Gravitational Acceleration = 9.81 m/s2

Death or Survived ?

What is Survived?

500

1/2mv^2

What is the equation for Kinetic Energy?

500

K = 4,303,125 J

m = 4250 kg

Velocity = ________ ?

What is 45 m/s ?

500

K = 44,750 J

m = 42.5 kg

Velocity = ________ ?

What is 45.9 m/s ?

500

A squirrel with a mass of 3.5 kg runs along a tree branch that's 2.5 m above ground with a speed of 3.5 m/s. It jumps down to a branch underneath, which is 0.9 m above ground. If it lands on the branch successfully and comes to a stop, then

The final Ug = _____ ?

What is 31.5 J?

500

A roller coaster cart with a mass of 3,600 kg is moving with a speed of 12.8 m/s at the top of a Loop-the-loop with radius 15 m. 

Gravitational Acceleration = 9.81 m/s2

Death or Survived ?

What is Survived?

600

The formula for the minimum velocity required to pass through the top of a loop-the-loop safely.

What is 

sqrt(g*r) ?

600

Loop-the-Loop with a Diameter of 30 meters.

Gravitational Acceleration = 10 m/s2

vmin = ______ ?

What is 12.247 m/s ?

600

Loop-the-Loop with a Diameter of 38.75 meters.

Gravitational Acceleration = 9.81 m/s2

vmin = ______ ?

What is 13.8 m/s ?

600

A cute squirrel with a mass of 4.5 kg chases a student down the street to steal their lunch money moving at a velocity of 3.7 m/s.

Gravitational Acceleration = 10 m/s2

K + Ug = _____ ?

What is 30.8 J?

600

A roller coaster cart with a mass of 4,275 kg is moving with a speed of 14.5 m/s at the top of a Loop-the-loop with radius 25 m. 

Death or Survived ?

What is Death?