# Lab 7 - Lab 7 Lab Performed October 23rd 2007 Lab Due...

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Lab 7 Lab Performed: October 23 rd , 2007 Lab Due: October 30 th , 2007 Section 13 Objective: To demonstrate the different relations of KE & PE in different situations since the total energy E is equal to KE+PE and they must accommodate each other so that E=KE+PE. Description: Section 3: A tube with mass m is held a distance h above the photogate sensor and is dropped and its velocity is measured as it passes through the photogate. The total energy of the start is compared to the total energy as the tube passes through the photogate. Section 4: A mass of 100g is hung from a 30cm string tied to a horizontal rod and is used as pendulum. The weight is pulled to one side and let go where its velocity is measured by the photogate sensor at the pendulum’s lowest point. Section 5:

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A vertical spring with a 500g weight is hanging from it. The mass is set into vertical oscillatory motion and its position is measured as a function of time by a motion sensor. The total energy is compared at different points in the motion. Theory: Section 3: The total energy E is equal to mgh at the time of dropping the tube while the total energy while the tube passes through the photogate beam is (1/2)mv 2 . Making mgh =(1/2)mv 2 leads to v=√(2gh). Section 4: The pendulum starts as PE and is gradually converted to KE as the pendulum falls down. This is because PE=mgh and since h decreases as the pendulum falls, the PE is converted to KE since Mgh= ½ Mv 2 as the path of the pendulum is circular, and the v= √(2gh). Section 5: In this section, y is determined to be the vertical coordinate where up is positive where the coordinate gives the position of the end of the string from which mass m is hung. The PE is calculated to be ½ ky 2 where k is the spring constant. With the PE being zero when the spring is unattached (y=0) the gravitational PE for m is mgy, which will be negative since y will be negative. When the end of the spring is at a point given b y and has a
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Lab 7 - Lab 7 Lab Performed October 23rd 2007 Lab Due...

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