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.
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)
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.
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