AH-16B Newtons 2nd and 3rd Laws - Physics
AH-16B: Newtons Second Law and Third Law - (using Smart Cart)
(Rev: 03-10-2021)
OBJECTIVE
The purpose of this activity is to study Newton’s Second and Third Laws.
EQUIPMENT
ME-6960 PASTrack
ME-8979 Mass and Hanger Set (ME-8967)
ME-1240 Smart Cart
ME-1241 Smart Cart
Capstone Software
ME-8999 IDS Spring Kit
String (SE-8050)
ME-9448B Super Pulley with Clamp
THEORY
Newton described the relationship between acceleration, force, and mass as follows: The acceleration of an object is directly proportional to and in the same direction as the net force, and inversely proportional to the mass of the object:
(1)
Where a is acceleration, Fnet is net force, and m is mass.
We will apply Newson’s 2nd law to find the acceleration of the system shown in Fig. 1. We can see that the system consists of two masses: and . We have to use a special method — “isolation”, we isolate one mass from another.
For , there is only one force, tension in the string that pulls to the right (assuming no friction between the cart and the track contacting surface, as the wheels are very good).
For , there are two forces, weight , going down and tension force going up. The Pulley is rotating to the right (clockwise), and the acceleration of and are always the same.
Apply Newton’s 2nd Law to and separately:
Add these 2 equations and cancel the tension
This is the theoretical or calculated value of acceleration of & system. For example:
, and ,
We can calculate tension by substituting and to eq. 3:
In this experiment we will compare the calculated values with the measured values of the acceleration and force.
Newton’s Third Law states that for every force there is an equal and opposite Reaction Force.
PROCEDURE FOR SECOND LAW
Equipment Setup
1. Assemble the PASTrack and place it on a horizontal surface. Level the Track by placing the Smart Cart on it. If the cart rolls one way or the other, use the Adjustable Feet at one end of the Track until the Track is level and the cart does not roll one way or the other. Also adjust the middle adjustable feet so that the weight of the track is on all six feet.
2. Attach the End Stop on the left end and the Super Pulley at the right end of the Track. (If your table is such that you cannot do this, reverse the two directions).
3. Remove the Magnetic Bumper from the Smart Cart, and attach the hook to measure force. Place the Smart Cart on the track with the hook towards the pulley.
4. Tie one end of a string to the hook on the Smart Cart, and its other end to the mass hanger. To fasten the string to the mass hanger, wrap the string four or five turns around the notched area of the mass hanger. Use enough length of string so that the mass hanger hangs a few cm under the pulley when the Smart Cart is at the far end of the Track.
5. Put the string in the pulley’s groove. Adjust the height of the pulley so the string is parallel to the Track.
6. The final setup should look like shown in Fig. 1.
Figur
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