In this lab, we are going to use a cart, a ramp (an inclined smooth apparatus), and a timing system to study how to determine the instantaneous speed when the cart moves down the ramp at a series of pre-determined position along the ramp. We will also use the definition of the acceleration to determine the average acceleration between chose two position along the ramp.  The timer is actually recording the time for the wing on this cart to go through the photogate. When the downside of the wing enters the center of the photogate, the timer starts to time. When the upside of the wing leaves the center of the photogate, the timer stops the timing. Thus, we can calculate the instantaneous speed of the cart passes the position where the photogate is located. We will then move down the photogate and calculate the other instantaneous speed along the ramp at the given location.  The instantaneous speed will be V=0.05tV=0.05t. 0,05 meter is the length of the wing of the cart. t is the time you will obtain from the timer. Procedures: 1. Calculate the instantaneous velocity of the cart V1=0.05tV1=0.05t  through “A”. 2.  Move down the photogate 20 cm along the ramp. 3.  Plot the instantaneous velocity vs the position on the ramp on graph.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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In this lab, we are going to use a cart, a ramp (an inclined smooth apparatus), and a timing system to study how to determine the instantaneous speed when the cart moves down the ramp at a series of pre-determined position along the ramp. We will also use the definition of the acceleration to determine the average acceleration between chose two position along the ramp. 

The timer is actually recording the time for the wing on this cart to go through the photogate. When the downside of the wing enters the center of the photogate, the timer starts to time. When the upside of the wing leaves the center of the photogate, the timer stops the timing. Thus, we can calculate the instantaneous speed of the cart passes the position where the photogate is located. We will then move down the photogate and calculate the other instantaneous speed along the ramp at the given location.  The instantaneous speed will be V=0.05tV=0.05t. 0,05 meter is the length of the wing of the cart. t is the time you will obtain from the timer.
Procedures:
1. Calculate the instantaneous velocity of the cart V1=0.05tV1=0.05t  through “A”.
2.  Move down the photogate 20 cm along the ramp.
3.  Plot the instantaneous velocity vs the position on the ramp on graph.
Trial  Position of the Photogate on the ramp from the top of the ramp, cm Distance travelled by the cart through the photogate, or the length of the wing, meter Time t for the wing to pass the photogate, second instantaneous speed, V=0.05tV=0.05t
1 20 cm 0.05 0.0492  
2 40 0.05 0.0387  
3 60 0.05 0.0332  
4 70 0.05 0.0295  
5 80 0.05 0.0273  
6 100 0.05 0.0250  
7 120 0.05 0.0232  
8 140 0.05 0.019  

Note. 1 The t you need in column 5 is what is provided in column 4.

Note 2. You need plot the instantaneous speed (y axis) vs the position of photo-gate on the ramp (x axis).  The position is in cm, please convert it in meter.

Note 3. You should be able to calculate the acceleration if we use two different photogate and we need the elapsed time for the cart to travel from the first photogate and the second photogate. The formula will be a=V2−V1Elaspedtimea=V2−V1Elaspedtime. Vis the instantaneous speed when the cart passes the second photogate. Vis the instantaneous speed when the cart passes the first photogate. 

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