10 Questions
It takes 30.0 seconds to make a trip from one side of the pool to the other side, not through the center.
False
The solid lead brick has a density of 9.0 g/cm3.
False
The cylindrical hole drilled through the brick is 4.0 cm in diameter.
False
The pool is 1.50 m deep and rectangular in shape.
False
The solid lead brick has the same measurements as a patio brick, 2.00 in. * 4.00 in. * 8.00 in.
True
The material in question 78 is formed into a solid cylindrical shape.
False
The density of the solid lead brick is 11.4 times that of water.
True
The solid lead brick weighs 11.4 kg.
False
The cylindrical hole is drilled parallel to the shortest side of the brick.
False
The pool is 2.0 m deep.
False
Study Notes
Metric System and Units
- The metric system has a prefix system to represent large and small quantities:
- Giga- means 10^9
- Micro- means 10^-6
- Nano- means 10^-9
- There are 7 base units in the SI system:
- meter (m)
- kilogram (kg)
- second (s)
- electric charge (not specified)
- Kelvin (not specified)
- mole (not specified)
- candela (not specified)
Unit Conversion
- Unit conversion is necessary to ensure proper calculations
- Ways to ensure proper unit conversion:
- Work in the same system of units
- Use unit analysis
- Check units before solving an equation
- Example: 1 kg = 2.2 lb means 1 kg is equivalent to 2.2 lb
Unit Analysis
- Unit analysis is a way to check if an equation is dimensionally correct
- It involves checking if the units on both sides of an equation are equal
- Unit analysis cannot tell if an equation is physically correct or numerically correct
- Example: A = pr^2 and A = pd^2/2 can be checked using unit analysis to determine which is correct
Significant Figures
- Significant figures are a way to represent the accuracy of a measurement
- Rules for significant figures:
- Non-zero digits are always significant
- Zeros between non-zero digits are always significant
- Leading zeros are never significant
- Trailing zeros are only significant if the number contains a decimal point
- Example: 103.07 has 5 significant figures, 124.5 has 4 significant figures, 0.09916 has 5 significant figures, and 5.408 * 10^5 has 5 significant figures
Problem Solving
- Steps in problem solving:
- Read the problem carefully
- Check units and significant figures
- Perform calculations
- Check if the answer is reasonable
- Importance of unit analysis and significant figures in problem solving
- Example: Calculating the surface area of a can and the volume of water in a pool
Test your knowledge of the basics of physics, including SI units and metric prefixes, with this short quiz.
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