Graphs
Graphs 2
Formulas You Should Know
Linearizing Graphs
Random stuff
100

What is the area under the velocity vs. time graph?

Displacement

100

Using a graph of spring force vs distance stretched, the slope gives

spring constant (k)

100

What is the horizontal component of gravity on an incline plane?

Fgx = mgsin(theta)

100

Data shows v and d for an object accelerating in a straight line.

Graph v^2 vs d

100

What is the velocity of a projectile at its maximum height?

v_0*cos(theta)

200

What is the area under the force vs. time graph?

Impulse or change in linear momentum

200

What is the shape of kinetic energy vs position graph for a mass on a spring in SHM?

A parabola opening up

200

What is the speed formula for an object in circular motion?

v=2*pi*R/T

200

Data shows gravitational potential energy and height

Graph Ug and y


200

What goes up, must come down? Except when you throw it at this speed...

v=sqrt(2GM/R)

300

In SHM, what graph is the mirror image (flipped) of the position vs. time graph?

Acceleration vs. time graph

300

For a mass on a spring in SHM, what does the potential energy vs. time graph look like?

It goes up and down above the time axis
300

What is the area under a torque vs. time graph?

Change in angular momentum

300

The force of gravity and radius are measured for different planets around the sun

Fg and 1/R^2

300

During which type of collision is linear momentum and kinetic energy conserved?

Elastic

400

What is the area under a force vs. distance (position) graph?

Net work or change in kinetic energy
400

What is the slope of a torque vs angular acceleration graph?

Rotational inertia

400

Formula that relates linear velocity (v) to angular velocity (omega)

v=omega*r

400

Kinetic energy and velocity are measured for a car speeding up

K and v^2

400

Experiment: An object is supposedly moving at a constant speed in a straight line.  How can I figure out if it is or isn't?

Use a series of photogates
OR
Use a motion detector and see if the position vs. time graph is linear

500

What is the slope of an angular momentum vs. time graph?

Torque

500

In SHM, if the velocity vs. time graph starts at its maximum positive value, where is the mass? What direction is it moving in?

Equilibrium, Right

500

The angular momentum of a particle moving in a straight line

L = rmv

500

The period and length of a pendulum are measured

T vs sqrt(L)
T^2 vs L

M
e
n
u