Physics Lab write up 5

# Unit vector in mathematics a unit vector in a

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In geometry, a dihedral or torsion angle is the angle between two planes. ( en.wikipedia.org/wiki/Dihedral_angle ) Unit Vector: In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) whose length is 1 (the unit length). A unit vector is often denoted by a lowercase letter with a “hat”, like this: {\hat{\imath}} (pronounced "i-hat"). ( en.wikipedia.org/wiki/Unit_vector ) Magnitude:   size; extent; dimensions(dictionary.com) Axes: a line about which a three-dimensional body or figure is symmetrical.(dictionary.com) Work :   The transfer of energy from one object to another, especially in order to make the second object move in a certain direction. Work is equal to the amount of force multiplied by the distance over which it is applied. (dictionary.com). Data: (look at attached excel sheet and graph paper) Analysis: (look at attached excel sheet and graph paper) Results and Conclusion: This lab was executed to help the students know and understand the scalar product of two vectors and the work that goes with it. The main equation used to calculate the change of work for both first line integral and second line integral was: ΔW=|F2-F1|*Δs*cos(Θ). For the first line integral we obtained ΔW to be 0.0041J which is really close to 0 which was the goal and for the second integral test we got ΔW was 0j which is exactly what was expected. Possible discrepancies in our work could be excel doing wrong calculations, using the wrong equation, not measuring the angles right with the protractor, drawing the lines wrong, measuring the lines wrong, and measured the forces wrong. Questions: Report part 1e) Think about the two line integrals carefully, and explain why the values should be so very different. Answer:

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The values are different because with the semi-circle, the final point is not the same or the initial point with the square. The final point is the same as the initial in the square.
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