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Anna Litical is doing the It's All Uphill Lab. She applies a 13.8-Newton force parallel to the inclined plane in order to pull a cart up a hill inclined at an angle of 51.6 degrees. If she drags the cart a distance of 138 cm, then how much work (in Joules) does she do upon the cart?

Respuesta :

farhansiddiqui97

Answer:

The work(in Joules) is equal to 33.32.

Explanation:

F force can be considered here as a weight. Unit Joules is another name of Newton-meter that's why it is important to convert the given unit of distance from centimeters to meters.

Formula for work is W = f*sin(theta)*d

where,

f = force in Newton

d = distance in meters =(138-cm/100) = 1.38-meters

so we can get

W = 13.8*sin(51.6)*(1.38)

W = 33.32-Joules

Cricetus

The work done by Anna will be "33.32 J".

Given values are:

  • Force, F = 13.8 N
  • Angle, [tex]\Theta[/tex] = 51.6°
  • Distance, d = 139 cm or 1.38 m

Now,

The work done will be:

→ [tex]W = Fd Cos\Theta[/tex]

By substituting the values, we get

       [tex]= 13.8\times 1.38\times Cos51.6^{\circ}[/tex]

       [tex]= 33.32 \ J[/tex]

Learn more about Newton force here:

https://brainly.com/question/20871310

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