A box having mass 400 kg is to be slowly slide through 10 m…

Physics Work, Energy, Power and Collision General MCQ (Single Correct)

A box having mass 400 kg is to be slowly slide through 10 m on a horizontal straight track having friction coefficient 0.2 with the box.

Find the work done by the person pulling the box with a rope at an angle θ with the horizontal.

Find the work when the person has chosen a value of θ which ensures him the minimum magnitude of the force. [g = 10 m/s 2 ]

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

7692.31 J, 7690 J

Sol.

mg = N + F sin θ.......(1)

µN = F cos θ .......(2)

µmg = F cos θ + µF sin θ

F = .......(3)

W F = = Ans.

F is min. if D = cos θ + µ sin θ is maximum and its maximum value is

F min. = =

µ = 0.2, mg = 4000 Nt

= = = 7692.307 J Ans.

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