Q249 · Practice questionComplex familiar5 marks
QUESTION 249 (5 marks)
A block rests on a smooth incline. It is attached by a massless string over a frictionless pulley to a hanging mass . The system is in equilibrium. Use .
a)[3 marks]
Determine the hanging mass.
b)[2 marks]
The hanging mass is replaced by . Determine the magnitude and direction of the acceleration.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
(a) . (b) ; the hanging mass descends and the block moves uphill.
Worked solution
(a) For the block, . For the hanging mass, . Combining gives .
(b) Add and to eliminate tension: .
Equivalent physically justified methods, alternative valid sketches and consistent units accepted.
Accept sensible significant figures and consistent rounding from stated constants.
Part a: Find the downhill weight component or state the block equilibrium equation.
Part a: Use the hanging-mass equilibrium and common tension.
Part a: Determine the mass.
Part b: Combine the two equations with the total moving mass.
Part b: Obtain the acceleration and consistent direction.
Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
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