The force acting on the handle is 40 N at an angle of θ = 35°. How much work is done if the traveler moves 130 meters? Round to the nearest whole number.

The force acting on the handle is 40 N at an angle of θ 35 How much work is done if the traveler moves 130 meters Round to the nearest whole number class=

Respuesta :

Work can be calculated as follows:

[tex]W=Fd\cos \theta[/tex]

where W represents the work, F the force, d the distance, and θ the angle.

In our problem, we are given all this information, except W, which is the parameter that we have to calculate. In our problem:

• F = 40 N

,

• d = 130 m

,

• θ = 35°

Then, replacing these values in the formula:

[tex]W=40\cdot130\cdot\cos (35)[/tex][tex]W=5200\cdot\cos (35)[/tex][tex]W\approx4259.59Nm[/tex]

Rounding to the nearest whole number:

[tex]W\approx4260Nm[/tex]

Answer: 4,260Nm