Finding the relationship between force and acceleration This experiment uses a datalogger and light gates
A computer measures the time for a card on a trolley to move through two light gates
T1 is thegate time1 it=takes for the interrupt Velocity 20 / 0.51 = 39.2 cm/s card togate go through first Velocity 2 = 20 /the 0.36 = light 55.6 gate cm/s T2 is the time it takes in velocity / time Acceleration = change for the second gate Acceleration = (55.6 – 39.2) / 0.72 Ready Light gates T3 is20the the to 2 cmtime wide 22.8 cm/s 16.4 / for 0.72 = trolley Acceleration = taken interrupt travel fromcard one gate to the next
Trolley
Load weight
T1 = 0.51 s T2 = 0.36 s T3 = 0.72 s
An extra load is then added and the acceleration measured again This is repeated to form a table of force and acceleration A graph of force against acceleration can then be plotted
T1 = 0.80 s Acceleration T2 = 0.55 s 2 = 27.4 cm/s T3 = 1.21 s
Plot a graph of force (up) against acceleration (along) Write a conclusion explaining what the graph shows Force / N
Acceleration m / s2
0
0
0.5
0.25
1.0
0.51
1.5
0.76
2.0
0.99
2.5
1.26
3.0
1.5