Friday, January 8, 2010

How much work produced by pushing an object at a certain acceleration?

How much work does someone do by pushing a 72-kg patient on a 15-kg gurney through a distance of 2.5 m if the person produces an acceleration of 0.60 m/s2?


If you could show the work that would be very helpful. Thanks!How much work produced by pushing an object at a certain acceleration?
ok well in order to get the amount of work done by that somebidy you need the right equation which is:





W = F x D x cos (theta)





W= work


F= force


D= distance


theta = the angle at which the force and distance are to each other





ok first lets bring together both masses (patien and the gurney) which would give us 87-kg , we also have an acceleration so we need to find the net force





Fnet = m x a





so just plug in the numbers which you should get 52.2 N of force acting on the gurney and the patient.





At this point we use the equation metioned above for Work





W = F x D x cos (theta)





since the force and the distance are parallel to each other the angle is 0, so we plug in what we got





W= 52.2 N x 2.5 m x cos (0)





and we should get the result of 130.5 joule of work being done by the person pushing the patient and the gurney for 2.5m





i hope this was of any help, thank you very much for your question....take it easy

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