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Dan exerts a force of F (measured using a spring scale similar to the ones we ha

ID: 2052343 • Letter: D

Question

Dan exerts a force of F (measured using a spring scale similar to the ones we have used) to the right on box B. Box A, to the left of B, has a weight of 55.0 N and is connected to box B by a very strong massless string, box B has a weight of 37.5 N, box C (adjacent to box B on the right) has a weight of 39.3 N, and box D (adjacent to box C on the right) has a weight of 18.5 N. No other forces are exerted except by the table, perpendicular to the table.
a. Determine the force F with which box B must be pushed by Jamal if the acceleration of box D is measured by a sonic ranger to be 0.100 m/s2.

The boxes move 5.00 m to the right during some time interval. Determine how much total work has been done during that time on
b. box A.
c. box B.
d. box C.
e. box D.

Explanation / Answer

a) force =m*a = (55+37.5+39.3+18.5)*0.1/9.8 = 1.5336 N b) box A work = T*5 = 55/9.8 * 0.1*5 = 2.806J c) box B work = (1.5336 - 0.5162-0.6383) *5 = 1.89J d) Box C work = ( 0.6383-0.1887)*5 = 2..248J e) BoxD work = 18.5/9.8 * 0.1 *5 = 0.9438J