Worksheet: Combining Uncertainties
In this worksheet, we will practice finding the uncertainties in the values of quantities that can be calculated from two or more measured values.
A wire carries a current of for a time of . What is the percent uncertainty of the charge that passes through the wire in that time?
Three objects have masses of , , and . What is the uncertainty in the total mass of the three objects?
Cupronickel is an alloy made of copper and nickel. If of cupronickel contains of copper, what is the uncertainty in the amount of nickel it contains?
An iron block has a mass of . The acceleration due to gravity is . What is the uncertainty in the weight of the block?
An object has a mass of and is moving at a speed of . What is the uncertainty in the kinetic energy of the object? Start by calculating the uncertainty in , and then calculate the uncertainty in .
A force of is applied to an object with a mass of . What is the uncertainty in the acceleration of the object?
- A2 m/s2
- B0.4 m/s2
- C40 m/s2
- D0.2 m/s2
- E0.02 m/s2
Two resistors that are in series in a circuit have a combined resistance of . One of the resistors, with a resistance of , is removed. What is the uncertainty in the resistance of the remaining resistor?
A resistor in a circuit has a resistance of . The current through the resistor is . Work out the potential difference across the resistor as well as the percent uncertainty in this value.
In an experiment, a quantity is found to have a value of . What is the uncertainty in ?
A scientist must mix the correct volumes of two liquids, liquid A and liquid B, as part of an experiment. He must mix 500 mL of liquid A with 200 mL of liquid B. He uses a measuring cylinder to measure the volume of each liquid first. The measuring cylinder has a resolution of 5 mL. He then mixes the two liquids. What is the uncertainty in the volume of the mixture?
In an experiment, a quantity is found to have a value of . What is the percent uncertainty in ?
Two resistors have resistances of and . If the two resistors were placed in series, what would the uncertainty of the two resistors together be?
An object moves along a straight line at a speed of for . Work out the distance that the object moves as well as the uncertainty in this value.
A sound wave travels through a medium with a speed of . The wavelength of the sound wave is . What is the percent uncertainty in the frequency of the sound wave?