As shown above an adhesive has been applied to contacting faces of two blocks so that the blocks interact with an adhesive force that has a magnitude, F_adhesion. A tension, T, is exerted by a wire attached to the upper blocks causing the blocks to remain at rest. The two blocks have weights, W_bottom and W_top. Which of the following must be true?

Question

As shown above an adhesive has been applied to contacting faces of two blocks so that the blocks interact with an adhesive force that has a magnitude, F_adhesion. A tension, T, is exerted by a wire attached to the upper blocks causing the blocks to remain at rest. The two blocks have weights, W_bottom  and W_top. Which of the following must be true?
T=W_bottom+W_top+F_adhesion
T=W_top-F_adhesion
W_bottom=F_adhesion
W-top=T

GPT 3.5 · Answer

The correct statement is: T = W_bottom + W_top + F_adhesion.

This is because in order for the blocks to remain at rest, the tension in the wire must balance the combined weight of the bottom and top blocks (W_bottom + W_top). Additionally, the adhesive force (F_adhesion) must also be accounted for, as it contributes to the overall force keeping the blocks in place.