PH 201 Pre-Lab 03

1 Dimensional Motion

Name

Solution

 

In this week’s lab we are going to measure the time it takes a cart to roll down an incline plane a distance x.  We are interested in determining the cart’s acceleration down the incline plane.  The cart will be released from rest. 

 

1. What 4 kinematical variables are involved in this situation?

 

Distance, Initial Velocity, Acceleration, and Time

 

2. What general kinematical equation relates these 4 variables?

 

 

Using the fact that v0 = 0, this equation reduces to 

 

3. If we plot x on the dependent (y-axis) and t on the independent (x-axis), what kind of curve should we get?

 

Parabola

 

4. One way to produce a straight line is to plot x on the dependent (y-axis) and to plot t2 on the independent (x-axis), if that is done what is the slope of the line (physically, not numerically)?

 

slope =

 

5. How would one determine the cart’s acceleration from the plot done in question (4)?

 

a = 2(slope)

 

6. Another way to produce a straight line is to plot ln(x) on the dependent (y-axis) and to plot ln(t) on the independent (x-axis), if that is done what is the slope of the line? 

 

It is the power of the independent variable, t, so 2

 

OVER à

 

7. What would be the y-intercept of this ln-ln plot

 

 

8. .How would one determine the cart’s acceleration from the plot done in question (6)?

 

 

 

 

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This page last updated on January 11, 2020