Figure shows four situations in Which a force acts on a box while the box slides right ward a distance d across a frictionless floor. The magnitudes of the forces are identical, their orientations areas shown. Rank the situations according to the work done on the box during the displacement, from most positive to most negative.

D, C, B, A
A,, B, C, D
A, C, B, D
D, B, A, C

Question

Figure shows four situations in Which a force acts on a box while the box slides right ward a distance d across a frictionless floor. The magnitudes of the forces are identical, their orientations areas shown. Rank the situations according to the work done on the box during the displacement, from most positive to most negative.

D, C, B, A
A,, B, C, D
A, C, B, D
D, B, A, C

Toppr Admin · Accepted Answer

In -D- -x3B8-0-x2218-cos-x3B8-1 -maximum value- So- work done is maximum-In-C- -x3B8-lt-90-x2218-cos-x3B8- is positive- Therefore- W is positive-In -B- -x3B8-90-x2218-cos-x3B8- is zero - W is zero-In-A- -x3B8- is abtuse- cos-x3B8- is negative- W is negative-

In (D) θ=0∘,cosθ=1 (maximum value). So, work done is maximum.In(C) θ<90∘,cosθ is positive. Therefore, W is positive.In (B) θ=90∘,cosθ is zero . W is zero.In(A) θ is abtuse, cosθ is negative. W is negative.

In (D) $θ = 0^{\circ}, c o s θ = 1$ (maximum value). So, work done is maximum.
In(C) $θ < 90^{\circ}, c o s θ$ is positive. Therefore, W is positive.
In (B) $θ = 90^{\circ}, c o s θ$ is zero . W is zero.
In(A) $θ$ is abtuse, $c o s θ$ is negative. W is negative.