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

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.

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