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## Homework Statement

Luke stands on a scale in an elevator which has a constant acceleration upward. The scale reads 0.97 kN. When Luke picks up a box of mass 20 kg, the scale reads 1.18 kN. (The acceleration remains the same.) (a) Find the acceleration of the elevator. (b) Find Luke's weight.

## Homework Equations

So I came up with 2 equations one for Luke w/o the added mass one for Luke with.

W_1 = m(g+a) I solve it for m.

m = W_1 / (a+g)

equation 2

W-2-(m+20)g=(m+20)a

## The Attempt at a Solution

My strategy is to just solve both equation for m. Set them equal and then just plug and chug and get my my a. The issue is I can't solve the equation!!!!!!!

If my strategy is correct. The units don't work out at all. Apples and Oranges.

So,

W_2 - 20g - 20a / a+g =W_1/ a+g

Multiply both sides by a+g gave

W_2 - 20g -20a = W_1

Cleaning it up for a I got...

W_2 -20g - W_1 / 20 = a

See what I meant about apples and oranges something is wrong. I have been at it for a while I have tunnel vision.

Thanks to whoever helps

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