Experiment 7

Newton's Second Law of Motion

__Objective__:

The objective is to experimentally verify Newton's Second Law**.**

__Equipment__:

A car and track system, a spark generator, a weight hanger, a set of weights, electric wire, a few meters of spark-sensitive tape, a Metric ruler, and a scientific calculator

__Theory__:

According to Newton's Second Law, * the
net force* acting on an object
is

__Procedure__:

* General: * Set
up the car and track system as in

Adjust the spark-sensitive tape such that sparks (dots) are made
only on one edge of the tape**.** A tape may be used for 3 runs (once at
each edge and once at the middle)**.** The weight hanger should hit the
floor when the car is about **3/4** of
the way down the track**.** Dots beyond this point are not valid**.**
Mark this point on your tape**.** Connect the spark generator and set it to
60 sparks per second**.**

* WARNING: * When the
spark generator is on, the entire apparatus is electrified

If Newton's Second Law (* Σ F = ma*) is true, the
driving force (

**Σ F
= (m _{1} +
m_{2}**

*m _{2}g = (m_{1} +
m_{2}*

All quantities are known except ** a **that
can be solved for

In each run, the **measured*** value
of acceleration* can
be found from the kinetic formula

The * accepted value
of acceleration* can be
found from the kinematic equations

Calculate a percent error between the two values in each run and record it in an appropriate chart.

A brief on Kinematics and Kinetics:
If the net force ΣF as in =
ma,(1) the
study is called the "" When force is not used,
and instead kinetic
of motion.distance are
used to solve for acceleration ( x,
velocity v,
and time tChapter 2 ), the
study of motion is called "equations"kinematics.The equations
from
which the accepted value of the acceleration can
be foundv_{f } from
the dots on the spark tape . |

**Part A:****Constant
force, varying mass**

**For each run**, use a set of five good
dots at the beginning of the tape and a set of five good dots at its end to
calculate * V_{i}* and

* Run 1:* The car is
packed with four weights

**Run 2*** :* Remove
one of the weights from the car

**Run 3*** :* Remove
another weight, record its mass, and make another run

**Part B: **** **

**Run 1*** : *Leave
all four weights in the car

**Run 2*** :* Increase
the weight on the weight hanger to 40

**Run 3*** :* Increase
the weight on the weight hanger to 50

As in * Part A*,
for each run, record data, calculate

Also, use ** Σ F
= ma** to
calculate the

**Part C:*** * __The
Graph of Force Versus
Acceleration__

**Use the data in Part
B to graph F versus a*** .* Each
run provides one point on the graph

__Data__:

**Given: ** **g
=**** ****9.81
m/s ^{2}. **

**Measured:** For
each part, on a separate sheet, arrange an appropriate chart to record the
values in**.**

Part A**:** Part B**: **
Part C**: **

__Comparison of the results__:

Provide the percent error formula used as well as the calculated of percent
errors**.**

__Conclusion__:

State your conclusions of the experiment**.**

__Discussion__:

Provide a discussion if necessary**.**