Casio EA-200 - Manual (Page 14)

20020601
English
Activity: Setup Activity: Setup
2-1-1
í Equipment
Cart Ramp Stand Protractor
Distance Measurement Setup (EA-200, graphic scientific calculator, data communication
cable, optional EA-2* 1 )
í Setting Up
u Affix the EA-2 to the arm of the stand.
u Measure the incline of the ramp with the protractor, and fix the ramp at an angle of 15
degrees.
This activity observes the movement of a cart down an incline and investigates uniformly
acceleration motion caused by gravity.
A cart placed on an inclined ramp starts to move straight down the ramp. This movement is
due to the force of gravity acting on the cart to pull it down the incline and pulling it against
the ramp. The distribution of these two forces depends on the inclination of the ramp. The
acceleration of the cart is determined by the magnitude of the force that moves the cart.
Movement represented by an acceleration value that does not change over time is called
“uniformly accelerated motion.” The movement of the cart described above is uniformly
accelerated motion. As shown below, the velocity of uniformly accelerated motion is
proportional to time, and the distance traveled is proportional to the time squared. This
means that if you observe the distance covered by the cart over a specific time, you can
determine its acceleration.
F (N) : Force Acting on Cart in
Direction of the Ramp Surface
a (m/s 2 ) : Cart Acceleration
m (kg) : Cart Mass
g (m/s 2 ) : Gravitational Acceleration
θ
( °) : Ramp Angle of Inclination
v (m/s) : Cart Velocity
t (s) : Cart Travel Time
L (m) : Distance Traveled by Cart
Uniformly Accelerated Motion
Theory
1 Desk
2 Ramp
3 EA-2 (SONIC)
4 Cart Mass:
m (kg)
5 Distance Between Cart
and EA-2: 60cm
6 Protractor
7 Ramp Angle: 15 degrees
8 Hand
1 Stand
2 Ramp
3 Desk
4 EA-2 (SONIC)
5 Protractor
6 Ramp Angle:
15 degrees
7 Distance from EA-2 to
end of ramp: 150cm
8 Ramp Width: 30cm
9 EA-200
Though actual gravitational acceleration depends on latitude and elevation, this activity can be
conducted using the gravitational constant 9.8m/s 2 .
u Measure the mass of the cart, place it onto the ramp, and hold it in place with your hand.
F = ma =mg sin
v = at
L = at 2
θ
1
2
* 1 When using the EA-200 in combination with the optional ‘‘Motion Sensor (EA-2) ”, be sure to
power the EA-200 using its bundled AC adaptor (AD-A60024).
* 1