# Physics 211L- Lab#5: NEWTON’s SECOND LAW OF MOTION

Physics 211L- Lab#5: NEWTON’s SECOND LAW OF MOTION

Physics 211L

Peter Webb

September

Lab#5: NEWTON’s SECOND LAW OF MOTION

Abstract:

In this lab we are Verifying Newton’s 2nd Law of motion, we are also finding the acceleration using the derived equations  and which are both derived with the free body diagrams on the attached paper. We used a computer with logger pro, Rotary motion sensor (RMS), and rolling cart with wired force probe, cart track, table clamp, long rod, 5 gram and 10 gram masses.

Our results showed that the force acting on an object is proportional to the mass. This is shown when we increase the mass from 5g to 10g the force measured and the theoretical force nearly doubled as well. This proves Newton’s 2nd law of motion. Possible reasons for error would be caused by neglecting friction and the track not being perfectly straight and level.

Procedure:

The first thing we did is cleaning the track and wheels to make sure that the motion is smooth; we recorded the mass of the cart including the force probe which was 650.6 g and the mass of the string which was 3.3 g, then we added mass to the cart so that the total mass was equal to 1 kg .We used the RMS and the force gauge to collect data on Logger Pro. The force gauge was attached to the cart this combined weight became “M” and the weight hanging off the end of the RMS was “m”. The data collected from Logger Pro from both the force gauge and the RMS are shown below in Table 1 along with the comparison to the theoretical values with percent error and standard deviation for the 5g tests. The data collected from Logger Pro from both the force gauge and the RMS are shown below in Table 2 along with the comparison to the theoretical values with percent error and standard deviation for the 10g tests.

Data Tables and Plots/Results and error analysis:

Table 1:

 Test # Force Measured (N) Force Std dev. Force Theoretical (N) Force ∆% Acceleration Measured (m/s^2) Accel Std dev. Acceleration Theoretical (m/s^2) Acceleration ∆% 1 .046 .014 .049 6.12% .083 .004 .078 6.41% 2 .046 .006 .049 6.12% .056 .006 .078 28.21%

Table 2:

 Test # Force Measured (N) Force Std dev. Force Theoretical (N) Force ∆% Acceleration Measured (m/s^2) Accel Std dev. Acceleration Theoretical (m/s^2) Acceleration ∆% 1 .090 .007 .084 7.14% .106 .004 .156 32.05% 2 .088 .007 .084 4.76% .114 .009 .156 26.92%

Trial 1:

Velocity vs time graph

Force vs time graph

Trial 2:

Velocity vs time graph

Force vs time graph

Physics 211L- Lab#5: NEWTON’s SECOND LAW OF MOTION

Trial 3:

Velocity vs time graph

Force vs time graph

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