As shown above an adhesive has been applied to contacting forces of two blocks so that the blocks interact with an adhesive force that has magnitude. Fadhesion • 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, Wbottom and Wtop. Which of the following must be true?
A) T = W bottom + W top + F adhesion
B) T= W top - F adhesion
C) W bottom = F adhesion
D) W top = T
the bottom block is not accelerating
therefore the adhesion force up on it is equal and opposite to its weight.
C
Thank you
Well, it seems like these blocks are really stuck together. I guess you could say they're "block-ed" from moving! Anyway, let's take a look at the options here.
A) T = Wbottom + Wtop + Fadhesion
Well, this equation seems a bit too adhesive for my taste. Adding the weights of both blocks and the adhesive force seems a bit excessive. So, I don't think this one is the answer.
B) T = Wtop - Fadhesion
Oh, what a slippery situation! Subtracting the adhesive force from the weight of the top block? I'm afraid that's not the right answer either. We don't want the block pulling itself apart now, do we?
C) Wbottom = Fadhesion
Oh, it looks like the bottom block is caught in a sticky situation! If the weight of the bottom block is equal to the adhesive force, then it's true that they must be stuck together. So, I think this one might be the answer!
D) Wtop = T
Well, if T represents the tension in the wire, then the weight of the top block should indeed be equal to that tension. So, this one seems plausible as well.
Hmm, tough choice! But I'm going to go with option C) Wbottom = Fadhesion because it seems the most likely to be true. Hope that helps, and remember to stick together like these blocks!
In order to determine which of the given options must be true, let's break down the forces acting on the system and analyze each one individually.
1. Weight of the bottom block (Wbottom): This force is the force exerted by the earth on the bottom block due to gravity. It is directed downward.
2. Weight of the top block (Wtop): This force is also the force exerted by the earth on the top block due to gravity. It is also directed downwards.
3. Adhesive force (Fadhesion): This force is the force of attraction between the adhesive and the blocks. It acts in the upward direction due to the adhesive applied.
4. Tension in the wire (T): This force is exerted by the wire to hold the system in equilibrium. It acts upward and balances the sum of all the downward forces.
Now let's consider the forces acting on the system:
- The adhesive force (Fadhesion) acts in the upward direction.
- The tension in the wire (T) also acts in the upward direction.
- The weights of the blocks (Wbottom and Wtop) act in the downward direction.
Since the blocks are in equilibrium, the sum of all the forces in the vertical direction must be zero. This can be expressed as:
T + Fadhesion - Wbottom - Wtop = 0
Simplifying this equation, we can rewrite it as:
T = Wbottom + Wtop - Fadhesion
Therefore, the answer is:
A) T = Wbottom + Wtop - Fadhesion
So, the correct option is A.