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Sheet1 k 50 N/m g 9.8 m/s^2 m x W k Abs Err Rel Err XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX...

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Sheet1
    k    50    N/m        g    9.8    m/s^2
    m    x    W    k    Abs E
    Rel E
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
W    
1.0641367848117327E-2    1.959122230518762E-2    3.1442526177096169E-2    3.7256877638210582E-2    4.8389237398249269E-2    5.8932044918605944E-2    6.7886697940194668E-2    7.8856839425674216E-2    8.7309547881217822E-2    9.745733144496542E-2     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    
Rel E
    7.3462609126384568E-2    3.5427986874967134E-3    5.8098201377216725E-2    5.6531138344973468E-2    1.0354797976005159E-2    1.2088802725962466E-3    7.0980019842490092E-3    4.4884709845183579E-3    1.0464917383243346E-2    4.9839127144953466E-3    

Sheet1
    Using a Force Table to verify the vector properties of forces
    F1    theta1    F2    theta2    Fx    Fy    F    theta    Fexper    thetaexper    Frele
    theraRelE
     XXXXXXXXXX    10     XXXXXXXXXX    80     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX    10     XXXXXXXXXX    80     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX    10     XXXXXXXXXX    80     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX    10     XXXXXXXXXX    80     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX    10     XXXXXXXXXX    80     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX    10     XXXXXXXXXX    80     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX    10     XXXXXXXXXX    80     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX    10     XXXXXXXXXX    80     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX    10     XXXXXXXXXX    80     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX    10     XXXXXXXXXX    80     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX
Frele
    3.6438520906899759E-2    4.4976207435048904E-2     XXXXXXXXXX    4.3127991906703578E-2    7.9419615251158537E-2    3.5751535906580721E-2    3.6242943354439679E-2    2.1734049113123589E-2    2.8270008497067525E-2    3.024380980865591E-2    
theraRelE
    4.4378269440164264E-2    5.5367794815564211E-2    6.4165065945730709E-2     XXXXXXXXXX    3.6970610816694852E-2    3.739082896869507E-2    5.9335776158608619E-2    7.7587192601769731E-2    1.4757358118602581E-2    9.5979431983324315E-3    

Sheet1
    Finding g using pendulum
    g    9.81    m/s^2
    Lengths    Time 20 periods    Time 1 period    T^2    4*pi^2*L    Estimate of g    Exact g    Abs E
    Rel E
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    9.81     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    9.81     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    9.81     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    9.81     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    9.81     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    9.81     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    9.81     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    9.81     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    9.81     XXXXXXXXXX     XXXXXXXXXX
Abs E
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    1.9370292010266965E-2     XXXXXXXXXX    
Graph for slope g
4*pi^2*L    
XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    T^2
4*pi^2*L

Sheet1
    Aluminum
    density     2.6    g/cm^3
    mass    26    g        std mass    0.2
    volume    10    cm^3        std vol    0.5
    Mass    Volume    Density    Exact    Abs E
    Rel E
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    2.6     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    2.6     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    2.6     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    2.6     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    2.6     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    2.6     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    2.6     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    2.6     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    2.6     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    2.6     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    2.6     XXXXXXXXXX     XXXXXXXXXX
     XXXXXXXXXX     XXXXXXXXXX     XXXXXXXXXX    2.6     XXXXXXXXXX     XXXXXXXXXX
Abs E
    9.1828984940420799E-2     XXXXXXXXXX    8.5071868071366019E-2     XXXXXXXXXX    9.102179133559396E-2    3.8035483479556653E-2    3.6451799058804912E-2    8.3253999350316299E-2    9.0973169012102062E-2    3.0932877716975948E-2    1.0673052341137357E-2     XXXXXXXXXX
Answered Same Day Jul 26, 2021

Solution

Himanshu answered on Jul 28 2021
132 Votes
Experiment 1:
Aim: To measure the density of the given metals
Theory: Density is defined as mass of an object per unit volume. If there are two objects of the same volume, but different densities, then the object with the higher density will weigh more than the object with the lower density.
Procedure:
Calculating the mass
· Place the object on an accurate scale and record the mass in your notebook.
· Make sure object is dry so that abso
ed water does not affect the accuracy of the weighing.
Calculate the volume
· For regularly shaped objects such as a cylinder or rectangular prism, the dimensions can be measured with a ruler and volume can be calculated using the equation.
· Measure the length and radius if it is a cylinder or length, width, and depth if it is a rectangle.
· Record your dimensions in millimeters or centimeters.
· Calculate volume using the formula for the shape of your object. For example, volume of a cylinder is length times pi times radius squared, while the volume of a rectangle is the product of length width and depth.
· In case if the object is i
egular in shape then its volume can be measured using displacement. By measuring the amount of water displaced by an object, the volume can be calculated.
· Fill a graduated cylinder with enough water to completely submerge the object, but not overflow.
· Record the water level of the beaker.
· Gently place the object in the beaker ensuring that it is fully submerged.
· Record the new water level of the beaker.
· Subtract the new water level from the starting water level. This is the volume of the object in cubic centimeters.
· Density is defined as mass divided by volume. Therefore by dividing the mass by the volume, the result is the density of the metal measured in g/cm cubed.{\displaystyle Density=Mass/Volume}
Results:
After calculating the density, compare it with the actual density of the chosen material. If the e
or is less than 10 % then it is accepted else the experiment should be performed again.
Experiment 2:
Aim: To measure the gravitational constant “g” using a simple pendulum
Theory: If we suspend a mass at the end of a piece of string, we have a simple pendulum. The to and fro motion of a simple pendulum is known as the oscillatory motion or periodic motion. Such oscillatory motion is called simple harmonic motion. The time it take to complete one oscillation called the period. The period T for a simple pendulum does not depend on the mass or the initial angular displacement, but depends only on the length L of the string and the value of the gravitational field strength g.
Where
T= time period
l= length of the pendulum
g= acceleration due to gravity
Procedure:
· Measure the length of the pendulum to the middle of the pendulum bob.
· Record the length of the pendulum in the table.
· Set the pendulum in motion until it completes 20 to and fro oscillations, taking...
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