Zafran P. W. Fisika Bab 1 2 12/15/2025
Fisika Bab 1
Zafran P. W. @zafranm2m December 15, 2025 2 0

[!EXAMPLE] Latihan Soal Akhir Bab 1

  • Nama: Zafran Prayata Wiza
  • Kelas: X.8

$\newcommand{\d}[1]{\mathsfup{#1}}$

[!NOTE] Catatan

  • $[Q]$ melambangkan dimensi dari $Q$. Contoh, $[F] = \pu{\d{T}-2.\d{L}.\d{M}}$.
  • $\{Q\}$ melambangkan satuan dari $Q$. Contoh, $\{v\} = \pu{m/s}$.

  1. A. hukum.

  2. B. konsep.

  3. A. proses.

  4. D. jujur.

  5. C. (2) dan (4).

  6. A. (1)–(2)–(4)–(6).

  7. B. (1) dan (3).

  8. C. massa.

  9. D. ketinggian.

  10. A. energi potensial.

  11. D. (2), (3), dan (5).

  12. D. menjauhkan zat kimia tersebut dari nyala api.

  13. D. $\pu{2100 J / kg . ^\circ C}$. $$ \begin{align*} \pu{0,5 kal // g.^\circ C} &= \pu{0,5 \pu{4184 J} // \pu{0,001 kg .^\circ C}} \\ &= \pu{0,5 \pu{4184 J} // \pu{kg . ^\circ C}} \\ &= \pu{2094 J // kg . ^\circ C} \\ &\approx \boxed{\pu{2100 J/kg . ^\circ C}}. \end{align*} $$

  14. D. $\pu{m3/s6}$. $$ \begin{align*} Y(t) &= At^2 \cos(\omega t) + Bt + Ct^3 \sin(\omega t) \\ [Y(t)] &= [A] \d{T}^2 [\cos(\omega t)] + [B]\d{T} + [C] \d{T}^3 [\sin(\omega t)] \\ \d{L} &= [A] \d{T}^2 + [B] \d{T} + [C] \d{T}^3. \end{align*} $$

    $$ \begin{align*} \d{L} &= [A] \d{T}^2 \\ [A] &= \frac{\d{L}}{\d{T}^2} \\ \Aboxed{[A] &= \pu{\d{T}-2 . \d{L}}}. \end{align*} $$

    $$ \begin{align*} \d{L} &= [B] \d{T} \\ [B] &= \frac{\d{L}}{\d{T}} \\ \Aboxed{[B] &= \pu{\d{T}-1 . \d{L}}}. \end{align*} $$

    $$ \begin{align*} \d{L} &= [C] \d{T}^3 \\ [C] &= \frac{\d{L}}{\d{T}^3} \\ \Aboxed{[C] &= \pu{\d{T}-3 . \d{L}}}. \end{align*} $$

    $$ \begin{align*} [ABC] &= (\pu{\d{T}-2 . \d{L}})(\pu{\d{T}-1 . \d{L}})(\pu{\d{T}-3 . \d{L}}) \\ &= \pu{\d{T}-6 . \d{L}3}. \end{align*} $$

  15. A. $\pu{m/s}$. $$ \begin{align*} x &= A + Bt + Ct^2 \\ \d{L} &= [A] + [B] \d{T} + [C] \d{T}^2 \\ \Rightarrow \d{L} &= [B] \d{T} \\ [B] &= \pu{\d{L} / \d{T}}. \end{align*} $$

  16. D. tekanan. $$ \begin{align*} p &= \sqrt{\frac{q}{r}} \\ [p] &= \left[ \sqrt{\frac{q}{r}} \right] \\ [p] &= \sqrt{\frac{[q]}{[r]}} \\ \pu{\d{T}-1 . \d{L}} &= \sqrt{\frac{[q]}{\pu{\d{L}-3 . \d{M}}}} \\ \pu{\d{T}-2 . \d{L}2} &= \frac{[q]}{\pu{\d{L}-3 . \d{M}}} \\ [q] &= (\pu{\d{T}-2 . \d{L}2})(\pu{\d{L}-3 . \d{M}}) \\ \Aboxed{[q] &= \pu{\d{T}-2 . \d{L}-1 . \d{M}}}. \end{align*} $$

    • A. momentum ❌ $$ \begin{align*} p &= mv \\ [p] &= [m][v] \\ &= (\d{M})(\pu{\d{T}-1 . \d{L}}) \\ &= \pu{\d{T}-1 . \d{L} . \d{M}} \\ [p] &\neq [q]. \end{align*} $$
    • B. usaha ❌ $$ \begin{align*} W &= Fs \\ [W] &= [F][s] \\ &= [m][a][s] \\ &= (\d{M})(\pu{\d{T}-2 . \d{L}})(\d{L}) \\ &= \pu{\d{T}-1 . \d{L}2 . \d{M}} \\ [W] &\neq [q]. \end{align*} $$
    • C. momen inersia ❌ $$ \begin{align*} I &= mr^2 \\ [I] &= [m][r]^2 \\ &= (\d{M})(\d{L}^2) \\ &= \pu{\d{L}2 . \d{M}} \\ [I] &\neq [q]. \end{align*} $$
    • D. tekanan ✔️ $$ \begin{align*} P &= \frac{F}{A} \\ [P] &= [F][A]^{-1} \\ &= [m][a] \left(\d{L}^2\right)^{-1} \\ &= (\d{M}) \left(\pu{\d{T}-2 . \d{L}}\right) \left(\d{L}^{-2}\right) \\ &= \pu{\d{T}-2 . \d{L}-1 . \d{M}} \\ \Aboxed{[P] &= [q]}. \end{align*} $$

  17. B. $\pu{kg / m . s2}$. $$ \begin{align*} v &= \sqrt{\frac{B}{\rho}} \\ [v] &= \sqrt{\frac{[B]}{[\rho]}} \\ \pu{\d{T}-1 . \d{L}} &= \sqrt{\frac{[B]}{\pu{\d{L}-3 . \d{M}}}} \\ \pu{\d{T}-2 . \d{L}2} &= \frac{[B]}{\pu{\d{L}-3 . \d{M}}} \\ [B] &= (\pu{\d{T}-2 . \d{L}2}) (\pu{\d{L}-3 . \d{M}}) \\ &= \pu{\d{T}-2 . \d{L}-1 . \d{M}} \\ \{B\} &= \pu{s-2 . m-1 . kg} \\ \Aboxed{\{B\} &= \pu{kg / m . s2}}. \end{align*} $$

  18. A. $\pu{cm/s}$. $$ \begin{align*} x &= At + \frac{1}{2} Bt^2 \\ [x] &= [A] \d{T} + [B] \d{T}^2 \\ \d{L} &= [A] \d{T} + [B] \d{T}^2 \\ \Rightarrow \d{L} &= [A] \d{T} \\ \Aboxed{[A] &= \pu{\d{T}-1 . \d{L}}} \\ \{A\} &= \pu{cm/s}. \end{align*} $$

  19. B. $\pu{m}$.

  20. D. $\pu{m/s4}$ dan $\pu{m/s2}$. $$ \begin{align*} v &= At^3 + Bt \\ [v] &= [A] \d{T}^3 + [B] \d{T} \\ \pu{\d{T}-1 . \d{L}} &= [A] \d{T}^3+ [B] \d{T} \\ \pu{\d{T}-1 . \d{L}} &= \d{T} ([A] \d{T}^2 + [B]) \\ \pu{\d{T}-1 . \d{L} . \d{T}-1} &= [A] \d{T}^2 + [B] \\ \pu{\d{T}-2. \d{L}} &= [A] \d{T}^2 + [B]. \end{align*} $$

    $$ \begin{align*} \pu{\d{T}-2. \d{L}} &= [A] \d{T}^2 \\ [A] &= \pu{\d{T}-2 . \d{L} . \d{T}-2} \\ [A] &= \pu{\d{T}-4 . \d{L}} \\ \Aboxed{\{A\} &= \pu{m/s4}}. \end{align*} $$

    $$ \begin{align*} \pu{\d{T}-2. \d{L}} &= [B] \\ [B] &= \pu{\d{T}-2 . \d{L}} \\ \Aboxed{\{B\} &= \pu{m/s2}}. \end{align*} $$

  21. E. massa. $$ \begin{align*} A &= \frac BC \\ \{A\} &= \frac{\pu{dyne}}{\pu{cm/s2}} \\ [A] &= \frac{\pu{\d{T}-2.\d{L}.\d{M}}}{\pu{\d{T}-2.\d{L}}} \\ \Aboxed{[A] &= \d{M}}. \end{align*} $$

  22. —

  23. B. $\pu{7,55 mm}$. $$ \begin{align*} \text{SU} &= \pu{7,5 mm} \\ \text{SN} &= 5 \times \pu{0,01 mm} \\ &= \pu{0,05 mm}. \end{align*} $$

    $$ \begin{align*} \text{SU} + \text{SN} &= \pu{7,5 mm} + \pu{0,05 mm} \\ &= \boxed{\pu{7,55 mm}}. \end{align*} $$

...

  1. C. panjang. $$ \begin{align*} Y(t) &= A \sin(\omega t) \\ [Y] &= [A] [\sin(\omega t)] \\ \d{L} &= [A] \cdot 1 \\ \Aboxed{[A] &= \d{L}}. \end{align*} $$
  2. C. $\d{T}$.
  3. B. $\pu{\d{M} . \d{L} . \d{T}-2}$.
  4. A. $\pu{\d{M} . \d{T}-1}$ $$ \begin{align*} A &= \sqrt{\frac BC} \\ \{A\} &= \sqrt{\frac{\pu{N}}{\pu{m/s}}} \\ [A] &= \sqrt{\frac{\pu{\d{T}-2.\d{L}.\d{M}}}{\pu{\d{T}-1.\d{L}}}} \\ &= \sqrt{\pu{\d{T}-1.\d{M}}} \\ \Aboxed{\left[A^2\right] &= \pu{\d{T}-1.\d{M}}}. \end{align*} $$
  5. C. $\pu{\d{M} . \d{L}-2 . \d{T}2}$ $$ \begin{align*} v &= \sqrt \frac E \rho \\ [v] &= \sqrt \frac{[E]}{[\rho]} \\ \pu{\d{T}-1.\d{L}} &= \sqrt \frac{[E]}{\pu{\d{L}-3 . \d{M}}} \\ (\pu{\d{T}-1 . \d{L}})^2 &= [E] \frac{\d{L}^3}{\d{M}} \\ (\pu{\d{T}-2 . \d{L}2}) \frac{\d{M}}{\d{L}^3} &= [E] \\ [E] &= \pu{\d{T}-2 . \d{L}-1 . \d{M}} \end{align*} $$
  6. E. tekanan.
  7. A. $\pu{\d{M}.\d{L}.\d{T}-4}$. $$ \begin{align*} v &= \sqrt \frac E P \\ [v] &= \sqrt \frac{[E]}{[P]} \\ \pu{\d{L}.\d{T}-1} &= \sqrt{\frac{[E]}{[F]/[A]}} \\ &= \sqrt{\frac{[E]}{(\pu{\d{M}.\d{L}.\d{T}-2}) (\d{L}^2)^{-1}}} \\ &= \sqrt{\frac{[E]}{\pu{\d{M}.\d{L}-1.\d{T}-2}}} \\ (\pu{\d{L}.\d{T}-1})^2 &= \frac{[E]}{\pu{\d{M}.\d{L}-1.\d{T}-2}} \\ (\pu{\d{L}2.\d{T}-2})(\pu{\d{M}.\d{L}-1.\d{T}-2}) &= [E] \\ \Aboxed{[E] &= \pu{\d{M}.\d{L}.\d{T}-4}}. \end{align*} $$
  8. C. $\pu{\d{L}.\d{T}-2}$. $$ \begin{align*} x &= kt^2 \\ [x] &= [k][t]^2 \\ \d{L} &= [k] \d{T}^2 \\ \Aboxed{[k] &= \pu{\d{L}.\d{T}-2}}. \end{align*} $$
  9. B. $\pu{\d{M}.\d{L}2.\d{T}-2.\d{\Theta}^-1}$. $$ \begin{align*} \frac{PV}{T} &= k \\ \frac{[P][V]}{[T]} &= [k] \\ [k] &= \frac{(\pu{\d{M}.\d{L}-1.\d{T}-2})(\d{L}^3)}{\d{\Theta}} \\ \Aboxed{[k] &= \pu{\d{M}.\d{L}2.\d{T}-2.\d{\Theta}-1}}. \end{align*} $$
  10. E. $\pu{\d{M}.\d{L}-1.\d{T}-1}$. $$ \begin{align*} f_k &= \mu r v \\ [f_k] &= [\mu][r][v] \\ \pu{\d{M}.\d{L}.\d{T}-2} &= [\mu] \d{L} (\pu{\d{L}.\d{T}-1}) \\ \pu{\d{M}.\d{T}-2} &= [\mu] \pu{\d{L}.\d{T}-1} \\ [\mu] &= \frac{\pu{\d{M}.\d{T}-2}}{\pu{\d{L}.\d{T}-1}} \\ \Aboxed{[\mu] &= \pu{\d{M}.\d{L}-1.\d{T}-1}}. \end{align*} $$