Q250 · Practice questionComplex unfamiliar5 marks
QUESTION 250 (5 marks)
A small toy car of mass moves uniformly around a horizontal circular track of radius . A guide supplies an inward horizontal force of . The track is above level ground. At P the guide ends and the car leaves horizontally. Ignore drag; use .
a)[2 marks]
Determine the speed immediately before release.
b)[3 marks]
Determine the horizontal distance travelled from P before impact and state its horizontal direction relative to the circle.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
(a) . (b) , along the tangent at P.
Worked solution
(a) gives .
(b) . Hence . On release the horizontal velocity is tangent to the former circle.
Equivalent physically justified methods, alternative valid sketches and consistent units accepted.
Accept sensible significant figures and consistent rounding from stated constants.
Part a: Use the circular-force relation.
Part a: Obtain the release speed.
Part b: Determine the fall time.
Part b: Calculate the horizontal distance.
Part b: Identify the tangent direction rather than the inward radial direction.
Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
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