Mathematics 20 Online
OpenStudy (anonymous):

A cable weighing 0.6 pounds per foot is attached to a small 80-pound robot, and then the robot is lowered into a 40-foot deep well to retrieve a 7 pound wrench. The robot gets out of the well (carrying the wrench) by climbing up the cable with one end of the cable still attached to the robot. How much work does the robot do in climbing to the top of the well? A cable weighing 0.6 pounds per foot is attached to a small 80-pound robot, and then the robot is lowered into a 40-foot deep well to retrieve a 7 pound wrench. The robot gets out of the well (carrying the wrench) by climbing up the cable with one end of the cable still attached to the robot. How much work does the robot do in climbing to the top of the well? @Mathematics

OpenStudy (amistre64):

87*40 + cable weight integrates from 0 to 40

OpenStudy (amistre64):

er perhaps 0 to 20 since it just needs to get up half the cable

OpenStudy (amistre64):

since work = force x distance; the force, cable wise is; weight*length ... but i feel im missing something

OpenStudy (amistre64):

$\int_{0}^{20}.6x\ dx=.3x^2$ 20^2 = 400 400* .3 = 120.0 for the cable if im recalling it right

OpenStudy (amistre64):

87*40 + 120 = 3480 + 120 = 3600 maybe

OpenStudy (anonymous):

$\int\limits_{0}^{40} (.6x/2) + 87 = 3720$ Well, that's the answer, but thanks amistre!

Latest Questions
Breathless: am so bored- need someone to talk to ;p
58 minutes ago 2 Replies 0 Medals
idfkaa: Pmo with a good movie or show
4 hours ago 0 Replies 0 Medals
KarmaXD: what is Imperialism in two sentences?
6 hours ago 1 Reply 0 Medals
GoatyGoat: Toast me
9 hours ago 1 Reply 0 Medals
GoatyGoat: iiii kkfdj its me Aiko hahaah
9 hours ago 3 Replies 1 Medal
myhomy11: who wants to video chat
9 hours ago 0 Replies 0 Medals
Bones: This is my oc I made him today lmk what y'all think
56 minutes ago 11 Replies 2 Medals
NaiNoah: It's my birthday ud83dudc7dud83dudc7d
18 minutes ago 20 Replies 2 Medals
CecePitbull: does anyone have a bypass?
54 minutes ago 14 Replies 2 Medals