Find the work w done by the 30 newton force

Find the work W done by the 30-newton force

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Find the work W done by the 30-newton force

Answer

General guidance

Concepts and reason
The concept required to solve the given question is work done.

Initially, find the x component of the applied force on the object.

Finally, use the expression for work done and then substitute the values of force and distance given in the question to calculate the work done by the given applied force.

Fundamentals

Work done is defined as the product of the force and the distance over which the force is applied.

The work done can be expressed as,

W = Fd cose

Here, W is the work done, F is the applied force, р is the displacement and е is the angle between the applied force and the displacement.

The expression for the x component of the applied force is,

F = F cos 0

Here, F.
X is the x component of the force.

Step-by-step

Step 1 of 2

The free body diagram shows the force acts on the block in all the sides and calculate x component of the applied force alone from the figure 1.

Fsin e
30 N
F
30°
160 m
Fcos
Figurel

Here, the applied force F is resolved into two components.

The x component of the applied force is,

F = F cos 0

Substitute 30N for F and 30° for е.

F = (30N)cos 30°
= 25.98 N

The free body diagram is drawn to show the applied force is divided into the two component in the figure 1 they are horizontal component of force is mentioned as and the vertical component of the applied force is mentioned as .

Step 2 of 2

The work done by the applied force is given by,

W = Fd cose

Substitute 160 m for р and 25.98 N for F cose.

W =(160m) (25.98N)
= 4157J

The work done by the 30N force is 4157J.


The work done by the applied force depends upon the displacement, force and the angle between the force and displacement.

Answer

The work done by the 30N force is 4157J.

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