| Date | November 2016 | Marks available | 2 | Reference code | 16N.2.SL.TZ0.2 |
| Level | Standard level | Paper | Paper 2 | Time zone | 0 - no time zone |
| Command term | Determine | Question number | 2 | Adapted from | N/A |
Question
Curling is a game played on a horizontal ice surface. A player pushes a large smooth stone across the ice for several seconds and then releases it. The stone moves until friction brings it to rest. The graph shows the variation of speed of the stone with time.
The total distance travelled by the stone in 17.5 s is 29.8 m.
Determine the maximum speed v of the stone.
(i) The stone has a mass of 20 kg. Determine the frictional force on the stone during the last 14.0 s.
(ii) Determine the energy dissipated due to friction during the last 14.0 s.
Markscheme
evidence that area under graph used
OR
use of mean velocity × time
Award [2] for a bald correct answer.
«» «m s–1»
Award [1] for 1.70 m s−1.
i
«deceleration» = OR 0.243 «m s–2»
Award [2] for a bald correct answer.
Award [1 max] for use of first 3.5 s.
Allow ECF from 2(a).
Ignore slight rounding errors
F = «0.243 × 20 =» 4.87«N»
ii
ALTERNATIVE 1
calculates KE using mv2
Allow ECF from (a).
116 J
Award [2] for a bald correct answer.
ALTERNATIVE 2
calculates distance as 23.9 «m»
Allow ECF from (a).
«4.86 × 23.90» = 116 J
Allow ECF from (a) and (b)(i)
Award [2] for a bald correct answer.
Award [1 max] for use of first 3.5 s
Unit is required for MP2
