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Measurements Questions Question 1 A body is observed to move a distance s = 15m in a time t = 6s. The distance was measured using a ruler marked in cm and the time was measured using a watch giving readings to 0·1s.
Question 2 The dimensions of piece of paper are measured using a ruler marked in mm. The results were x = 50mm and y = 40mm.
Question 3 The diameter of a cylindrical piece of metal is measured to a precision of ±0·01mm. The diameter is measured at five different points along the length of the cylinder. The results are shown below. Units are mm.
Question 4 The diameter of a metal ball is measured to be 30.0mm ±0.1mm. The mass of the ball is measured to be 110g ±1g. Use these results to find a value for the density, r, of the metal of which the ball is made. Calculate the indeterminacy in this result and state your final answer in the form: density = ±x%. Density is defined as mass per unit volume so to calculate the density of a substance we use the equation:
Question 5 A body which is initially at rest, starts to move with acceleration a. It moves a distance s = 10.00 ±0.01m in a time t = 4.0 ±0.1s. Calculate the acceleration. Now find first the percentage uncertainty in the value of the acceleration then the absolute uncertainty. Question 6 A person uses a simple balance to find the mass of a sheet of paper. The balance has a box of known masses of which the smallest is 1g. It is found that when 50 identical sheets of paper are on the balance, 15g is not quite enough for balance but 16g is just too much.
Assuming that the balance itself is perfect and ignoring the indeterminacy in the manufacture of the masses, state the mass of one sheet of paper including first an absolute uncertainty and then a percentage uncertainty. 
