Question

Consider the following four cases of a person applying force to an object: (1) a force of 5 N directed parallel to the floor is pulling a box over a distance of 1 m. (2) a force of 5 N directed at an angle of 30^\circ ​∘ ​​ with respect to the floor is pulling a box over a distance of 1 m. (3) a force of 10 N directed at an angle of 30^\circ ​∘ ​​ with respect to the floor is pulling a box over a distance of 1 m. (4) a force of 10 N directed at an angle of 60^\circ ​∘ ​​ with respect to the floor is pulling a box over a distance of 1 m. Rank the amount of work done by the person in each case , in order from greatest to least.

Answer 1

3 > 4=1 > 2

Step-by-step explanation:

As we know that ,work done by a force given as

W= F.d cosθ

F=Force

d= Displacement

θ=Angle between force and displacement

1)

Here θ= 0°

F= 5 N

d= 1 m

W= F.d cosθ

W= 5 x 1 x cos 0°

W= 5 J

2)

Here θ=3 0°

F= 5 N

d= 1 m

W= F.d cosθ

W= 5 x 1 x cos 30°

W= 4.33 J

3)

Here θ= 30°

F= 10 N

d= 1 m

W= F.d cosθ

W= 10 x 1 x cos 30°

W= 8.66 J

4)

Here θ= 60°

F= 10 N

d= 1 m

W= F.d cosθ

W= 10 x 1 x cos 60°

W= 5 J

8.66 J >5 J=5 J>4.33 J

3 > 4=1 > 2