A stone used in the sport of curling has a mass of 18.0 kg and is initially at rest, sitting on a flat horizontal ice surface. It is pushed with a constant horizontal force of magnitude 24.0 N over a distance of 4.00 m. (Note that in the sport of curling, heavy masses called stones are pushed for a certain distance over a surface of ice before being allowed to continue without pushing. This question only considers the pushing phase. You may assume that any friction between the stone and the ice is negligible.) (a) (i) What is the acceleration of the stone and what is the work done in accelerating it? (ii) By considering the conservation of energy of the stone, calculate the speed of the stone at the end of the push. Show that you have checked that the value for the magnitude of speed and its unit are sensible. (b) How much power is supplied by the person pushing the stone at the beginning of the push and how much is supplied at the end of the push? (c) Starting from your calculated values for acceleration and final speed, calculate the duration of the push. Compare this with the time calculated from the average power supplied during the push and the amount of work done.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A stone used in the sport of curling has a mass of 18.0 kg and is initially at
rest, sitting on a flat horizontal ice surface. It is pushed with a constant
horizontal force of magnitude 24.0 N over a distance of 4.00 m.
(Note that in the sport of curling, heavy masses called stones are pushed for
a certain distance over a surface of ice before being allowed to continue
without pushing. This question only considers the pushing phase. You may
assume that any friction between the stone and the ice is negligible.)
(a) (i) What is the acceleration of the stone and what is the work done in
accelerating it?
(ii)
By considering the conservation of energy of the stone, calculate
the speed of the stone at the end of the push. Show that you have
checked that the value for the magnitude of speed and its unit are
sensible.
(b) How much power is supplied by the person pushing the stone at the
beginning of the push and how much is supplied at the end of the push?
(c) Starting from your calculated values for acceleration and final speed,
calculate the duration of the push. Compare this with the time
calculated from the average power supplied during the push and the
amount of work done.
Transcribed Image Text:A stone used in the sport of curling has a mass of 18.0 kg and is initially at rest, sitting on a flat horizontal ice surface. It is pushed with a constant horizontal force of magnitude 24.0 N over a distance of 4.00 m. (Note that in the sport of curling, heavy masses called stones are pushed for a certain distance over a surface of ice before being allowed to continue without pushing. This question only considers the pushing phase. You may assume that any friction between the stone and the ice is negligible.) (a) (i) What is the acceleration of the stone and what is the work done in accelerating it? (ii) By considering the conservation of energy of the stone, calculate the speed of the stone at the end of the push. Show that you have checked that the value for the magnitude of speed and its unit are sensible. (b) How much power is supplied by the person pushing the stone at the beginning of the push and how much is supplied at the end of the push? (c) Starting from your calculated values for acceleration and final speed, calculate the duration of the push. Compare this with the time calculated from the average power supplied during the push and the amount of work done.
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