/32 Physics Chapter 1 : Topic 1 SI Base Units of Derived Quantities 1 / 32 Which of the following correctly represents the SI base units of force (newton)? A) $\mathbf{kg\ }\mathbf{ms}^{\mathbf{- 1}}$ B) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$ C) $\mathbf{kg\ }\mathbf{ms}^{\mathbf{- 2}}$ D) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 1}}$ Reasoning: Force $\mathbf{=}$ mass $\mathbf{\times \ }$acceleration $\mathbf{= kg \times (m}\mathbf{s}^{\mathbf{- 2}}\mathbf{) = kg\ m}\mathbf{s}^{\mathbf{- 2}}$ 2 / 32 The SI base unit of pressure is: A) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$ B) $\mathbf{kg\ }\mathbf{m}^{\mathbf{- 2\ }}\mathbf{s}^{\mathbf{- 2}}$ C) $\mathbf{kg\ m}\mathbf{s}^{\mathbf{- 2}}$ D) $\mathbf{kg\ }\mathbf{m}^{\mathbf{- 1\ }}\mathbf{s}^{\mathbf{- 2}}$ Reasoning: Pressure $\mathbf{=}$ Force / Area $\mathbf{= (kg\ m}\mathbf{s}^{\mathbf{- 2}}\mathbf{)\ /\ }\mathbf{m}^{\mathbf{2}}\mathbf{= kg\ }\mathbf{m}^{\mathbf{- 1\ }}\mathbf{s}^{\mathbf{- 2}}$ 3 / 32 Which derived quantity has the SI unit $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$? A) Force B) Energy C) Pressure D) Power Reasoning: Energy (joule) $\mathbf{=}$ Force $\mathbf{\times \ }$distance $\mathbf{= (kg\ m}\mathbf{s}^{\mathbf{- 2}}\mathbf{)(m) = kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$ 4 / 32 The SI base units of power are: A) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 3}}$ B) $\mathbf{kg\ }\mathbf{s}^{\mathbf{- 3}}$ C) $\mathbf{kg\ m}\mathbf{s}^{\mathbf{- 2}}$ D) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$ Reasoning: Power $\mathbf{=}$ Energy / time $\mathbf{= (kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}\mathbf{)\ /\ s = kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 3}}$ 5 / 32 Which quantity has the same SI base units as pressure? A) Stress B) Energy C) Impulse D) Momentum Reasoning: Stress $\mathbf{=}$ Force / Area, same definition as pressure, so same units. 6 / 32 Momentum has SI base units: A) $\mathbf{kg\ m}\mathbf{s}^{\mathbf{- 1}}$ B) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$ C) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 1}}$ D) $\mathbf{kg\ m}\mathbf{s}^{\mathbf{- 2}}$ Reasoning: Momentum $\mathbf{=}$ mass $\mathbf{\times \ }$velocity $\mathbf{= kg \times m\ }\mathbf{s}^{\mathbf{- 1}}$ 7 / 32 The SI base unit expression of density is: A) $\mathbf{kg\ }\mathbf{m}^{\mathbf{- 1}}$ B) $\mathbf{kg\ }\mathbf{m}^{\mathbf{- 3}}$ C) $\mathbf{kg\ }\mathbf{m}^{\mathbf{3}}$ D) $\mathbf{kg\ }\mathbf{m}^{\mathbf{- 2}}$ Reasoning: Density $\mathbf{=}$ mass / volume $\mathbf{=}\mathbf{kg\ /\ m}^{\mathbf{3}}\mathbf{= kg\ }\mathbf{m}^{\mathbf{- 3}}$ 8 / 32 Which quantity has SI base units $\mathbf{kg\ }\mathbf{m}^{\mathbf{- 1\ }}\mathbf{s}^{\mathbf{- 2}}$? A) Momentum B) Power C) Work D) Pressure Reasoning: Pressure $\mathbf{=}$ Force / Area $\mathbf{= kg\ }\mathbf{m}^{\mathbf{- 1\ }}\mathbf{s}^{\mathbf{- 2}}$ 9 / 32 The SI base units of acceleration are: A) $\mathbf{kg\ m}\mathbf{s}^{\mathbf{- 2}}$ B) $\mathbf{m}\mathbf{s}^{\mathbf{- 2}}$ C) $\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$ D) $\mathbf{m}\mathbf{s}^{\mathbf{- 1}}$ Reasoning: Acceleration $\mathbf{=}$ change in velocity per second. 10 / 32 Which of the following is NOT a derived unit? A) Pascal B) Kilogram C) Joule D) Newton Reasoning: Kilogram is an $\mathbf{SI}$ base unit; others are derived units. 11 / 32 The SI base unit of work done by a force is: A) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 3}}$ B) $\mathbf{kg\ }\mathbf{m}^{\mathbf{- 1\ }}\mathbf{s}^{\mathbf{- 2}}$ C) $\mathbf{kg\ m}\mathbf{s}^{\mathbf{- 2}}$ D) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$ Reasoning: Work $\mathbf{=}$ Force $\mathbf{\times}$ distance 12 / 32 A quantity has units $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 3}}$. It is most likely: A) Energy B) Momentum C) Power D) Pressure Reasoning: Power $\mathbf{=}$ Energy / time 13 / 32 The SI base units of frequency are: A) $\mathbf{s}^{\mathbf{- 1}}$ B) $\mathbf{s}$ C) $\mathbf{m}^{\mathbf{- 1}}$ D) $\mathbf{kg\ }\mathbf{s}^{\mathbf{- 1}}$ Reasoning: Frequency $\mathbf{=}$ number of cycles per second 14 / 32 Which quantity has units $\mathbf{kg\ m}\mathbf{s}^{\mathbf{- 1}}$? A) Energy B) Pressure C) Power D) Impulse Reasoning: Impulse $\mathbf{=}$ Force $\mathbf{\times \ }$time $\mathbf{=}\mathbf{kg\ m}\mathbf{s}^{\mathbf{- 1}}$ 15 / 32 Velocity can be expressed as: A) $\mathbf{kg\ m}\mathbf{s}^{\mathbf{- 1}}$ B) $\mathbf{m}\mathbf{s}^{\mathbf{- 1}}$ C) $\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 1}}$ D) $\mathbf{m}\mathbf{s}^{\mathbf{- 2}}$ Reasoning: Velocity $\mathbf{=}$ displacement / time 16 / 32 Which derived quantity has units $\mathbf{m}^{\mathbf{2}}$? A) Area B) Acceleration C) Velocity D) Volume Reasoning: Area $\mathbf{=}$ length $\mathbf{\times}$ length 17 / 32 The SI base unit expression of volume is: A) $\mathbf{m}^{\mathbf{2}}$ B) $\mathbf{m}^{\mathbf{3}}$ C) $\mathbf{m}^{\mathbf{- 3}}$ D) $\mathbf{kg\ }\mathbf{m}^{\mathbf{3}}$ Reasoning: Volume $\mathbf{=}$ length $\mathbf{\times}$ width $\mathbf{\times}$ height 18 / 32 If force is multiplied by time, the resulting unit is: A) $\mathbf{kg\ m}\mathbf{s}^{\mathbf{- 2}}$ B) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2}}\mathbf{s}^{\mathbf{- 3}}$ C) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2}}\mathbf{s}^{\mathbf{- 2}}$ D) $\mathbf{kg\ m}\mathbf{s}^{\mathbf{- 1}}$ Reasoning: Force $\mathbf{\times}$ time $\mathbf{=}$ impulse 19 / 32 Which quantity has units $\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$? A) Velocity squared B) Pressure C) Acceleration D) Density Reasoning: ${\mathbf{(m}\mathbf{s}^{\mathbf{- 1}}\mathbf{)}}^{\mathbf{2}}\mathbf{=}\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$ 20 / 32 The SI base unit of energy divided by force gives: A) $\mathbf{kg}$ B) $\mathbf{m}$ C) $\mathbf{m}^{\mathbf{2}}$ D) $\mathbf{s}$ Reasoning: Energy / Force $\mathbf{= (kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}\mathbf{)\ /\ (kg\ m}\mathbf{s}^{\mathbf{- 2}}\mathbf{) = m}$ 21 / 32 Which quantity is represented by $\mathbf{kg\ }\mathbf{m}^{\mathbf{- 3}}$? A) Density B) Pressure C) Force D) Momentum Reasoning: Density $\mathbf{=}$ mass per unit volume 22 / 32 The SI base unit of force divided by mass is: A) $\mathbf{m}\mathbf{s}^{\mathbf{- 2}}$ B) $\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$ C) $\mathbf{kg\ m}\mathbf{s}^{\mathbf{- 2}}$ D) $\mathbf{m}\mathbf{s}^{\mathbf{- 1}}$ Reasoning: $\mathbf{F\ /\ m =}$ acceleration 23 / 32 A quantity has units $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$. Dividing it by time gives units of: A) Force B) Power C) Momentum D) Pressure Reasoning: Energy / time $\mathbf{=}$ power 24 / 32 Which expression correctly represents the pascal $\mathbf{(Pa)}$? A) $\mathbf{kg\ m}\mathbf{s}^{\mathbf{- 2}}$ B) $\mathbf{kg\ }\mathbf{m}^{\mathbf{- 1\ }}\mathbf{s}^{\mathbf{- 2}}$ C) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$ D) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 3}}$ Reasoning: Pascal $\mathbf{=}\mathbf{N/m}^{\mathbf{2}}$ 25 / 32 Which SI base unit appears in every mechanical quantity among force, energy, momentum and pressure? A) Ampere B) Kilogram C) Mole D) Kelvin Reasoning: All these quantities involve mass, represented by kilogram. 26 / 32 The unit $\mathbf{kg\ }\mathbf{m}^{\mathbf{2}}\mathbf{s}^{\mathbf{- 2}}$ can also be written as: A) $\mathbf{N\ m}$ B) $\mathbf{N\ s}$ C) $\mathbf{N/m}$ D) $\mathbf{N/m}^{\mathbf{2}}$ Reasoning: Joule $\mathbf{=}$ Newton $\mathbf{\times}$ metre 27 / 32 Which quantity has dimensions involving only length and time but not mass? A) Velocity B) Pressure C) Density D) Force Reasoning: Velocity $\mathbf{=}\mathbf{ms}^{\mathbf{- 1}}$ 28 / 32 The SI base unit of power divided by force gives: A) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$ B) $\mathbf{m}\mathbf{s}^{\mathbf{- 1}}$ C) $\mathbf{m}$ D) $\mathbf{s}^{\mathbf{- 1}}$ Reasoning: $\mathbf{(kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 3}}\mathbf{)\ /\ (kg\ m}\mathbf{s}^{\mathbf{- 2}}\mathbf{) = m}\mathbf{s}^{\mathbf{- 1}}$ 29 / 32 Which quantity has the most negative power of metre in its unit? A) Force $\mathbf{(kg\ m}\mathbf{s}^{\mathbf{- 2}}\mathbf{)}$ B) Density $\mathbf{(kg\ }\mathbf{m}^{\mathbf{- 3}}\mathbf{)}$ C) Pressure $\mathbf{(kg\ }\mathbf{m}^{\mathbf{- 1\ }}\mathbf{s}^{\mathbf{- 2}}\mathbf{)}$ D) Velocity $\mathbf{(m}\mathbf{s}^{\mathbf{- 1}}\mathbf{)}$ Reasoning: Density contains $\mathbf{m}^{\mathbf{- 3}}$, the largest negative exponent. 30 / 32 A student writes the unit of energy as $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 3}}$. What mistake has been made? A) Mass unit is incorrect. B) One extra factor of $\mathbf{s}^{\mathbf{- 1}}$ has been included. C) Length unit is incorrect. D) Energy has no time dependence. Reasoning: $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 3}}$ is the unit of power, not energy. Energy should be $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$. 31 / 32 Which pair has identical SI base units? A) Density and Pressure B) Momentum and Force C) Pressure and Stress D) Energy and Power Reasoning: Both pressure and stress are force per unit area. 32 / 32 The unit $\mathbf{kg\ m}\mathbf{s}^{\mathbf{- 2\ }}\mathbf{m}^{\mathbf{- 2}}$ simplifies to: A) $\mathbf{kg\ }\mathbf{m}^{\mathbf{- 1\ }}\mathbf{s}^{\mathbf{- 2}}$ B) $\mathbf{kg\ m\ }\mathbf{s}^{\mathbf{- 1}}$ C) $\mathbf{kg\ }\mathbf{m}^{\mathbf{2\ }}\mathbf{s}^{\mathbf{- 2}}$ D) $\mathbf{kg\ }\mathbf{m}^{\mathbf{- 2\ }}\mathbf{s}^{\mathbf{- 2}}$ Reasoning: $\mathbf{m \times}\mathbf{m}^{\mathbf{- 2}}\mathbf{=}\mathbf{m}^{\mathbf{- 1}}$, giving $\mathbf{kg\ }\mathbf{m}^{\mathbf{- 1\ }}\mathbf{s}^{\mathbf{- 2}}$. Your score is 0% Restart quiz
