Units, Dimensions, and Vectors in Physics

<p>21.4 cm (D)</p> Signup and view all the answers

<p>5 (C)</p> Signup and view all the answers

<p>32.5 cm (C)</p> Signup and view all the answers

<p>8.96 g/cm$^3$ (B)</p> Signup and view all the answers

<p>All non-zero digits are significant; zeros between non-zero digits are significant; trailing zeros to the right of the decimal point are significant. (B)</p> Signup and view all the answers

<p>All zeros to the right of the last non-zero digit are not significant unless otherwise indicated with a decimal point. (B)</p> Signup and view all the answers

<p>Calculating the exact numerical value of dimensionless constants in an equation. (C)</p> Signup and view all the answers

<p>Subtracting vector $\vec{B}$ from vector $\vec{A}$ is the same as adding the negative of vector $\vec{B}$ to vector $\vec{A}$ ($\vec{R} = \vec{A} + (-\vec{B})$). (C)</p> Signup and view all the answers

<p>The scalar product is commutative, whereas the vector product is anti-commutative. (B)</p> Signup and view all the answers

<p>They define direction in space and provide a dimensionless way to represent orientation. (A)</p> Signup and view all the answers

<p>$\text{kg} \cdot \text{m}^{2} \cdot \text{s}^{-2}$ (B)</p> Signup and view all the answers

<p>16.5 N (A)</p> Signup and view all the answers

<p>5 (C)</p> Signup and view all the answers

<p>The meter would be defined as the distance light travels in exactly 1/300,000,000th of a second. (C)</p> Signup and view all the answers

<p>Atomic properties are inherently more stable and reproducible than macroscopic properties. (D)</p> Signup and view all the answers

<p>The decay rate might be affected by unknown external forces, leading to variations in the time unit. (B)</p> Signup and view all the answers

<p>The Planck constant (h), because it links energy and frequency, both measurable with high precision. (D)</p> Signup and view all the answers

<p>It would question the universality of the mole as a standard unit, prompting a search for a more stable measure. (C)</p> Signup and view all the answers

<p>The meter's definition could be refined, leveraging the more accurate time standard to improve length measurements based on the speed of light. (A)</p> Signup and view all the answers

<p>It could lead to redefining the kilogram in terms of the ampere and second, reducing the number of independent base units. (D)</p> Signup and view all the answers

<p>Immediately adopt a new standard for mass based on fundamental constants. (B)</p> Signup and view all the answers

The International System of Units for physical measurements.

The SI unit of length is the meter (m).

The SI unit of mass is the kilogram (Kg).

The SI unit of time is the second (s).

The SI unit of electric current is the ampere (A).

The SI unit of temperature is the Kelvin (K).

The SI unit for luminous intensity is the candela (Cd).

The SI unit for amount of substance is the mole (Mol).

Digits in a measurement known with certainty plus one uncertain digit.

All non-zero digits are always significant when measuring.

Zeros between two non-zero digits are significant.

Trailing zeros to the right of a decimal are significant.

Leading zeros to the left of the first non-zero digit are not significant.

A quantity having both magnitude and direction.

A quantity having only magnitude, no direction.

The resultant vector is the third side of a triangle formed by two other vectors.

Units created from combinations of SI base units.

A method for checking relationships between physical quantities.

A way to multiply two vectors resulting in a scalar value.

Multiplication of two vectors resulting in another vector.

A vector with a magnitude of one that indicates direction.

The single force that represents the combined effect of two or more forces.

The size or length of a vector, indicating its strength.