75-Archetype SyllabusPhysics • ARCH-P-09 • Spec P3

Full 6-Card Lesson 15-Question Timed Drill

UAT-UK SPEC CODE: P3 (Mechanics)ASSUMED MATHS 1 PREREQUISITE: M1.2FREQUENCY: HIGH

Work-Energy-Power Conservation (ΔE_p = mgΔh, E_k = ½mv^2) & Resistive Drag Work

Deconstructed from 17 past UAT-UK questions (7.3% of all historical Physics papers). Students using standard A-Level classroom methods spend an average of 140s on this archetype—blowing past the 90s ESAT budget. Using the 2-line Sub-90 heuristic below compresses solve time to 40s (saving 100s per question).

Historical Frequency

17 Past Qs

7.3% of Physics

Classroom Trap Time

140s

+50s over 90s budget

Sub-90 Target Time

40s

Banks +100s on the clock

Dominant UI Format

5-Option A–E

Maths 1 Skill: M1.2

Card 1 & Card 2 Preview: The Classroom Time Trap vs. Sub-90 2-Line Rule

Excerpted from our interactive 6-Step Topic Lesson for ARCH-P-09.

Launch All 6 Active-Recall Cards

CARD 1 OF 6 • THE CLASSROOM TIME TRAP (140s)

Why Students Bleed Time:

Motor heat loss is

(1 - 0.75) \times 20 = 5\text{ kJ}

, leaving

15\text{ kJ}

of mechanical work. Useful GPE gained is

mgh = 1000\times 10\times 1.2 = 12\text{ kJ}

, so ramp friction loses

15 - 12 = 3\text{ kJ}

. Total lost to surroundings is

5 + 3 = 8\text{ kJ}

(~135s).

In 17 past UAT-UK questions (7.3% of Physics), candidates lose 100s by omitting initial kinetic energy when the object starts with non-zero speed u. Instead, apply P3 with Maths 1 skill M1.2.

CARD 2 OF 6 • THE 2-LINE SUB-90 HEURISTIC (<40s)

Line 1 (Global Energy Box): The

75\%

motor efficiency is a distractor! Everything not stored as

mgh

goes to the surroundings.

**Line 2 (Subtract

mgh

):**

E_{\text{lost,total}} = E_{\text{in}} - mgh = 20\text{ kJ} - 12\text{ kJ} = 8\text{ kJ}

(20s).

Sanity & Limit Check: Verify units/signs against subsystem_isolation_trap (Equating work against drag to mgh only, ignoring initial kinetic energy (1/2)mu² (e.g. parachutist leaving a moving plane)) and factor_of_two_or_stoichiometry_trap (Omitting 1/2 in E_k = (1/2)mv² or forgetting to square velocity v).

Examiner Distractor Blueprint for ARCH-P-09

FOIL #1subsystem_isolation_trap

Equating work against drag to mgh only, ignoring initial kinetic energy (1/2)mu² (e.g. parachutist leaving a moving plane)

Omitting initial kinetic energy when the object starts with non-zero speed u.

Open Subsystem Isolation Trap Clinic

FOIL #2factor_of_two_or_stoichiometry_trap

Omitting 1/2 in E_k = (1/2)mv² or forgetting to square velocity v

Arithmetic slip in kinetic energy evaluation.

Open Factor-of-2 / Stoichiometry Clinic

FOIL #3fence_post_or_domain_trap

Using slope length d instead of vertical height h in ΔGPE = mgh

Multiplying weight mg by inclined ramp distance instead of vertical elevation change.

Open Fence-Post / Domain Trap Clinic

FOIL #4intermediate_stop_trap

Outputting total energy lost W_drag instead of average drag force F_drag = W_drag / d

Forgetting to divide work done against friction by the distance travelled.

Open Intermediate Stop Trap Clinic

Try 1 Live Sample Question Under the 90-Second Stopwatch

Press W to open the 2-line dry-wipe scratchpad, select A–E, and lock in to reveal the Dual-View solution.

Full 6-Card Lesson Launch All 15 Questions (ARCH-P-09)

ARCH-P-09: Work-Energy-Power Conservation (ΔE_p = mgΔh, E_k = ½mv^2) & Resistive Drag Work (Sample)Physics

00:00.0

SUB-90 ZONE (<40S)

0.0s40s Sub-9090s ESAT Budget150s Classroom

Question 1 of 1ARCH-P-09 (6-Card Lesson)Format: Standard 5-Option

Right-click any option to cross out • Keys A–E + Enter

Question 1 of 1 • 90s Target

Ready to Start Question 1?

The question stem, diagram, and answer options are hidden behind this pre-start gate. When you click below, the question will reveal and your 90-second split stopwatch will immediately begin ticking.

Physics•ARCH-P-09•Standard 5-Option

or press Enter to start