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?

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

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