D2 - 1
FORCE AND ACCELERATION
Objective
The purpose of this experiment is to show the relationship between force
and acceleration in a friction free environment and to illustrate the concept
of mass.
Apparatus
An air-cushioned track provides a frictionless path for a glider pulled by a
small weight on a string over a pulley.
Fig. 1. Force and Acceleration Apparatus
Procedure
1. Set the two photogate timers over the track and measure the distance
between them (about 60 cm). Make sure the glider does not touch them as it
passes under. Set the timer switches to ‘gate’.
2. Attach a weight hanger to the glider by means of a string placed over the
pulley. The length of the string (approx. 130 cm) should ensure that the
glider clears the second photogate before the hanger touches the floor.
3. Put 40 g on the glider (balanced 20 g on each side).
4. Place the glider on the air track at the blower end and reset both timers.
Hold the glider, turn on the blower and then release the glider.
5. After the glider had cleared the second photogate, the timers should read the
length of time t1 and t2 the glider took to pass under. Repeat three times,
releasing the glider from the same point and making sure the photogates
remain in the same position to ensure consistent values. Take average values
of t1 and t2.
6. Remove 10 g from the glider and place it on the hanger. Repeat steps 4 and
5. If times are again consistent repeat this procedure until all 40 g originally
placed on the glider are on the hanger.
7. Use the balance to find the mass of all moving parts: the glider, hanger,
string and weights.
D2 - 2
Calculations
We will use
to find the acceleration for each weight where x is the distance between the
photogates. The velocities v1 and v2 are found by dividing the length of the
glider l, by the time t1 and t2 respectively, taken to pass under the photogate:
and
The force causing acceleration is given by mg where m (expressed in kg) is
the total mass of the hanger and weights placed on it and g is the
acceleration of gravity (9.8 m/s2).
Results
Plot a graph of acceleration (y-axis) versus force (x-axis). Find the slope of
the best straight line through the points. The value of the slope is the
constant of proportionality between acceleration and force. Compare this
value to the reciprocal of the mass of the glider, hanger and the 40 g masses
as obtained on the balance.
Pre-lab Questions
1. What is the objective of this experiment?
2. Define acceleration.
3. Define force.
4. State Newton’s second law.
5. Is Newton’s second law valid if friction is present? Explain.