16. (Option 1) A 1827-kg hunk of stone is loaded onto a truck and driven to a work site. The static and kinetic coefficients of friction between the truck bed and the stone are, respectively, 0.871 and 0.330. En route, the truck driver suddenly has to slam on his brakes to avoid running over a bunny in the road, coming to rest from an initial speed of 32.0 m/s in 2.50 s. (i) What is the acceleration (magnitude and direction) of the truck? Assume that the truck was initially traveling in the -x direction. (ii) What is the minimum necessary coefficient of static friction to ensure that the stone accelerates to rest along with the truck? Will it do so? if not, what happens instead? IN Your tuck has t

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16. (Option 1) A 1827-kg hunk of stone is loaded onto a truck and driven to a work site. The
static and kinetic coefficients of friction between the truck bed and the stone are, respectively,
0.871 and 0.330. En route, the truck driver suddenly has to slam on his brakes to avoid
running over a bunny in the road, coming to rest from an initial speed of 32.0 m/s in 2.50 s.
(i) What is the acceleration (magnitude and direction) of the truck? Assume that the truck
was initially traveling in the -x direction.
(ii) What is the minimum necessary coefficient of static friction to ensure that the stone
accelerates to rest along with the truck? Will it do so? if not, what happens instead?
INERTIA
Your truck has brakes the massive hunk of stone doesnt
(iii) Clearly, this situation is far less than ideal! To prevent this from occurring, our truck driver lashes the stone to the
truck with two tensioned straps that make an angle of 17.0° from the left and right sides of the stone. Use the
illustration below as the basis for a free-body diagram for the stone, as seen by an observer riding behind it (definitely a
safer place than in front!). Assume, conservatively, that there is no friction between the stone and the straps, only
between the stone and the truck bed. Forces on the stone exist in all three dimensions.
(iv) To what minimum tension must the straps be tightened in order to secure it, in the event of an acceleration event such
as the one described in the introduction to this problem?
Transcribed Image Text:16. (Option 1) A 1827-kg hunk of stone is loaded onto a truck and driven to a work site. The static and kinetic coefficients of friction between the truck bed and the stone are, respectively, 0.871 and 0.330. En route, the truck driver suddenly has to slam on his brakes to avoid running over a bunny in the road, coming to rest from an initial speed of 32.0 m/s in 2.50 s. (i) What is the acceleration (magnitude and direction) of the truck? Assume that the truck was initially traveling in the -x direction. (ii) What is the minimum necessary coefficient of static friction to ensure that the stone accelerates to rest along with the truck? Will it do so? if not, what happens instead? INERTIA Your truck has brakes the massive hunk of stone doesnt (iii) Clearly, this situation is far less than ideal! To prevent this from occurring, our truck driver lashes the stone to the truck with two tensioned straps that make an angle of 17.0° from the left and right sides of the stone. Use the illustration below as the basis for a free-body diagram for the stone, as seen by an observer riding behind it (definitely a safer place than in front!). Assume, conservatively, that there is no friction between the stone and the straps, only between the stone and the truck bed. Forces on the stone exist in all three dimensions. (iv) To what minimum tension must the straps be tightened in order to secure it, in the event of an acceleration event such as the one described in the introduction to this problem?
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