To study the relationships between position, velocity, and time, with acceleration held constant, of an object moving in one-dimensional motion with minimum friction. A motion sensor will be used to measure various aspects of vector quantities.
Description:
An Air Track is positioned along the edge of the table. It is a long straight metal beam with many small holes that are roughly each 2mm in diameter. It is positioned at an angle to allow the gliders to glide down the slope. A blower pump is placed under the table, and it is connected to the beam, which allows air to blow out from the holes to reduce the friction of a moving object on top of it. At the end of the Air Track there is a Motion Sensor to record the position, velocity, and acceleration of the moving object. There are also two different sized wooden block and two gliders. One of the gliders is gold and the other is red. A meter stick is also provided to record height and length of the given objects.
Theory:
Velocity is the derivative of a position graph, and acceleration is the derivative of a velocity graph. When the expression a = dv/dt = d2x/dt2 is integrated twice with acceleration held constant, it yields two integrations:
x = x0+v0t+1/2at2 v = v9+at
These two expressions show the relationship between position, velocity, and acceleration at a given time.
Newton’s 2nd law states that the acceleration of an object depends on the net force acting upon the object and the mass of the object. If there were no friction in this experiment, then the acceleration of the glider would be equal to acceleration of gravity multiplied by the angle between the air track and the horizontal table (g x sin θ).
Procedure:
(3.1) The air track was leveled by placing a glider on the track and adjusting the knob at the end of the air track until the glider did not move. A motion sensor is placed at the end of the raised air track and the grill looks down the track.