The speed of light is now defined to be c = 2.99792458 × 108 m/s. (a) Express the speed of light to three significant figures. 4.03.00*10e8 X Your response is off by a multiple of ten. m/s (b) Express the speed of light to five significant figures. 4.02.9979*10e8 X Your response is off by a multiple of ten. m/s (c) Express the speed of light to seven significant figures. 4.0 2.997925*10e8 X Your response is off by a multiple of ten. m/s
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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### The Speed of Light and Significant Figures
The speed of light is now defined to be \( c = 2.99792458 \times 10^8 \, \text{m/s} \).
#### (a) Express the speed of light to three significant figures.
\[4.0 \square \]
\[3.00*10e8 \, \text{✘}\]
Your response is off by a multiple of ten. m/s
#### (b) Express the speed of light to five significant figures.
\[4.0 \square \]
\[2.9979*10e8 \, \text{✘}\]
Your response is off by a multiple of ten. m/s
#### (c) Express the speed of light to seven significant figures.
\[4.0 \square \]
\[2.997925*10e8 \, \text{✘}\]
Your response is off by a multiple of ten. m/s
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**Explanation**:
- For three significant figures, the correct expression should be \( 3.00 \times 10^8 \, \text{m/s} \).
- For five significant figures, the correct expression should be \( 2.9979 \times 10^8 \, \text{m/s} \).
- For seven significant figures, the correct expression should be \( 2.9979250 \times 10^8 \, \text{m/s} \).
In each case, while the numerical part appears correct, the error seems to be due to a misunderstanding of the proper multiplication factor. Ensure the significant figures are accurate, and verify the exponent correctly reflects the order of magnitude.
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