Question
A student pushes four weights along the ground. Weight & Force applied (mathbf(N)) & Distance moved (mathbf(m)) A & 12 & 2 B & 20 & 2 C & 11.5 & 2 D & 7.8 & 2 a) On which weight is most work done? A B C D
Answer
4.5
(265 Votes)
Sable
Elite · Tutor for 8 years
Answer
B.
Explanation
The force involved in the movement of objects is used to calculate the work done. The formula used to calculate work is: Work Done = Force x DistanceThe distance that the weights have been moved is the same for all weights, then the work done is solely dependent on the amount of force applied to each weight. So maximal work is done when maximal force is used. Work on A = Force_A x Distance_A = 12 N * 2 m = 24 J Work on B = Force_B x Distance_B = 20 N * 2 m = 40 J Work on C = Force_C x Distance_C = 11.5 N * 2 m = 23 J Work on D = Force_D x Distance_D = 7.8 N * 2 m = 15.6 J Among all the weights the maximum energy of 40 J was applied to weight B. This means weight B had most works done.