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Diseussi Table of Resalte 1.11650 54 Archimedes Principle states that an object wil dloat if the weight of the water it displaces is equal or greater than the weight of the object. Weight is and multiplied by So after equating the two weights, the constants of_ divide out. In practice, this means an object will float if its一.ǐcitL;s equal to or tessthan the nity of thedar_ A Vernier Caliper good to ±0.02 mm was used repeatedly to measure the diameter of a rubber ball. The diameter was measured times. This diameter varied from one measurement to the next due toY measeaveneb error. The measurement of the ball's mass also exhibited .measurareaf error in .---However, the error in the was hath in compared to the error in the dameler Since the number of diameter measurements was small, the equation for the standard deviation used n-1 instead of n. 1-16

Answer 1

Physics of the Experiment

Archimedes Principle states that an object will float if the weight of the water it displaces is equal or greater than the weight of the object. Weight is mass multiplied by the acceleration due to gravity and mass is density multiplied by volume.

So after equating the weight, the constants of m g and _$\rho$ V g divide out.

In practice, this means an object will float if its density is equal to or less than the density of the water.

Sources of Error

A Vernier Caliper good to _$\pm$0.02 mm was used repeatedly to measure diameter of a rubber ball. The diameter was measured 10 times. This dameter varied from one measurement to the next due to Vernier measurement error.

The measurement of the ball's mass also exhibited measurement error in reading.

However, the error in the measurement was nothing compared to the error in the diameter.

Since the number of diameter measurements was small, the equation for the standard deviation used n-1 instead of n.