QCEVault

Gravity and motion — Question 228

Original QCE Vault practice · 6 marks

Q228 · Practice questionComplex unfamiliar6 marks

QUESTION 228 (6 marks)

A small object moves at constant speed around a horizontal circle of radius 0.500 m0.500\,\mathrm m. The graph shows inward resultant force F against 1/T21/T^2, where T is its period. The fitted line passes exactly through (1.00 s−2,3.95 N)(1.00\,\mathrm{s^{-2}},3.95\,\mathrm N) and (3.00 s−2,11.85 N)(3.00\,\mathrm{s^{-2}},11.85\,\mathrm N). Treat this fit as exact.
Inward force F in newtons versus 1/T squared in inverse square seconds. A straight fitted line through the origin has points at (1,3.95) and (3,11.85).
a)
Determine the gradient with units.
[2 marks]
b)
Use the gradient to determine the object's mass.
[2 marks]
c)
The apparatus can supply at most 12.0 N12.0\,\mathrm N inward. Determine the shortest permitted period.
[2 marks]
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