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# F=ma using ticker timer

Extracts from this document...

Introduction

Physics Investigation: F = ma using a Ticker Timer

Data Collection and Processing:

Mass of trolley – (496.70±0.01)g

 m/g ML/g M/(±0.01)g t/s s/(±0.05)cm a/ms-2 Δa/ms-2 F/N ΔF/N 100 300 796.70 0.36 10.20 1.57 ±0.015 1.25 ±0.012 150 250 746.70 0.36 10.20 1.57 ±0.015 1.17 ±0.011 200 200 696.70 0.36 12.30 1.90 ±0.015 1.32 ±0.011 250 150 646.70 0.36 13.60 2.10 ±0.015 1.36 ±0.010 300 100 596.70 0.36 16.80 2.59 ±0.015 1.55 ±0.009
 Key Sample Calculations m is the mass that hangs from the pulley. - ML is the load on the trolley. - M is the total mass of trolley. M = 496.70 + MLFirst row:

Middle

= 0.36s.

s is the length for 18 ticks.

-

a is the actual acceleration of the trolley.

s = ut +at2

∴ a =

First row:

a =

=   1.57ms-2

Δa is the absolute uncertainty of a.

Δa =

First row:

Δa =

=   ±0.015ms-2 (2s.f)

F is the net force acting on trolley.

F = Ma

First row:

F =

=   1.25N

ΔF is the absolute uncertainty of F.

ΔF =

First row:

ΔF =

=   ±0.012N (2s.f.)

Attached is the graph of a/ms-2 against F/N.

The first value, (1.25, 1.57) is rejected as the net force, 1.25N, is larger than the second value of 1.17N.

=   2.69 (3s.f.)

=    2.90 (3s.

Conclusion

These errors result in the value being inaccurate and the graph being deviated from the origin and have a negative intercept. However, due to the scale chosen the graph is not able to accommodate the intercept.

The graph is a straight line, with a constant gradient, indicating the proportional relationship shared by net force and acceleration when mass is constant. When the force increases, the acceleration increases proportionally.

The uncertainty is rather small as only one reading was taken. If time allowed, more reading could be taken ti find the average and the uncertainty would add but would eliminate random error.

Modifying this experiment slightly, by keep the accelerating force constant, varying, instead, the mass on the trolley, the dependent variable acceleration can plotted against mass to show the inverse relationship between mass and acceleration.

This student written piece of work is one of many that can be found in our International Baccalaureate Physics section.

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