F = ma (make

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Investigation of Newton’s 2d Law (using virtual air-track)

Print Name _______________________________________Class Period__________

The object of this lab is to investigate how the acceleration of a known mass depends on the force applied to accelerate it.

Theory: According to Newton’s second law of motion, a mass is accelerated in direct proportion to the force acting on it and in inverse proportion to its mass. The law is most commonly written as F = ma . If we plot F vs. a , we should get a straight line whose slope is the mass m.

Materials needed: Virtual Air track, slider cart (wagon), a “massless” pulley and light string, calibrated masses, photo-gate, timer and a graphing program.

Procedure:

1 – From a computer that will run Java, go to the following website: http://www.walter-fendt.de/ph14e/n2law.htm

Here you will find a virtual air track that has a photo-gate (light barrier LB) set at Δx = 0.5 m from the starting point of the slider cart (wagon) so that it will pass the photo-gate and record the time it takes the cart (wagon) to travel from starting at 0 to 0.5 m. The simulator computes and displays the elapsed time and the acceleration of the cart (wagon).

Set the mass of the cart (wagon) at 250 g and the hanging mass at 20 g.

The total mass, M tot

, of the entire combination of the slider cart, mass hanger, string and all the calibrated masses will be M tot

= ____________kg

2 - Click start and let the hanging mass drop. Record the acceleration, computed by the simulator, next to the value of the hanging mass in the table.

3 – Click reset and transfer 10 g from the cart (wagon) to the hanging mass and repeat step 2 above. Do this until the table is complete. (use g = 9.81 m/s

2

)

F = mg hanging mass (kg)

2

) F (N)

.020

.030

.040

.050

.060

.070

4 – Plot F on the Y axis and a on the X axis and make a best fit line.

5 – Compute the slope and use it as the experimentally determined mass. Compare it to the total mass, M tot

, you computed above. Slope _______ % error = _______

To receive credit for this lab you must:

1. Turn in a printed copy of this data sheet

2. Turn in a printed copy of your plot (correctly labeled) and

3. Turn in a printed copy of a screen shot of the virtual air track showing at least one the trials you recorded in the table above.

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