75-Archetype SyllabusPhysics • ARCH-P-05 • Spec P3

Full 6-Card Lesson 15-Question Timed Drill

UAT-UK SPEC CODE: P3 (Mechanics)ASSUMED MATHS 1 PREREQUISITE: M4.4FREQUENCY: MEDIUM

1D Coupled Multi-Body Resultant Force (F_net = ma), Lifts & Internal Tension

Deconstructed from 11 past UAT-UK questions (4.72% of all historical Physics papers). Students using standard A-Level classroom methods spend an average of 150s on this archetype—blowing past the 90s ESAT budget. Using the 2-line Sub-90 heuristic below compresses solve time to 40s (saving 110s per question).

Historical Frequency

11 Past Qs

4.72% of Physics

Classroom Trap Time

150s

+60s over 90s budget

Sub-90 Target Time

40s

Banks +110s on the clock

Dominant UI Format

5-Option A–E

Maths 1 Skill: M4.4

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-05.

Launch All 6 Active-Recall Cards

CARD 1 OF 6 • THE CLASSROOM TIME TRAP (150s)

Why Students Bleed Time:

Apply

F_{\text{net}} = (m_1 + m_2)a

5000 - (600 + 400) = (1200 + 800)a \implies a = \frac{4000}{2000} = 2\text{ m s}^{-2}

. Then isolate the trailer:

T - 400 = 800 \times 2 = 1600 \implies T = 2000\text{ N}

(~135s).

In 11 past UAT-UK questions (4.72% of Physics), candidates lose 110s by failing to treat the coupled blocks/train as a single system of mass (m₁ + m₂) when finding common acceleration a. Instead, apply P3 with Maths 1 skill M4.4.

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

Line 1 (Proportional Drag Check): Since

\frac{600}{1200} = \frac{400}{800}

, resistive drag is proportional to mass and cancels from the internal tension split!

Line 2 (Mass Fraction):

T = F_{\text{drive}} \times \frac{m_2}{m_1 + m_2} = 5000 \times \frac{800}{2000} = 2000\text{ N}

(25s).

Sanity & Limit Check: Verify units/signs against subsystem_isolation_trap (Dividing driving force F by single mass m₁ instead of total coupled mass (m₁ + m₂) to find acceleration) and sign_or_direction_flip (Writing normal contact force in an upward-accelerating lift as m(g - a) instead of m(g + a)).

Examiner Distractor Blueprint for ARCH-P-05

FOIL #1subsystem_isolation_trap

Dividing driving force F by single mass m₁ instead of total coupled mass (m₁ + m₂) to find acceleration

Failing to treat the coupled blocks/train as a single system of mass (m₁ + m₂) when finding common acceleration a.

Open Subsystem Isolation Trap Clinic

FOIL #2sign_or_direction_flip

Writing normal contact force in an upward-accelerating lift as m(g - a) instead of m(g + a)

Subtracting upward acceleration from g instead of solving N - mg = ma => N = m(g + a).

Open Sign / Direction Flip Clinic

FOIL #3multi_statement_linchpin_foil

Claiming normal contact force and weight on the same object form a Newton's 3rd Law pair

Violating Newton's 3rd Law criteria (must act on two different bodies and be of the same physical force type).

Open Multi-Statement Linchpin Foil Clinic

FOIL #4intermediate_stop_trap

Outputting system acceleration a instead of the internal coupling tension T = m_rear * a + F_resist_rear

Stopping after Step 1 (whole-system acceleration) before isolating the trailing body.

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-05)

ARCH-P-05: 1D Coupled Multi-Body Resultant Force (F_net = ma), Lifts & Internal Tension (Sample)Physics

00:00.0

SUB-90 ZONE (<40S)

0.0s40s Sub-9090s ESAT Budget150s Classroom

Question 1 of 1ARCH-P-05 (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-05•Standard 5-Option

or press Enter to start