A 2.5 kg block has a force of kinetic friction between it and a level surface of 3.5 N. This block is pulled by an applied force of 14 N. a)Find the coefficient of kinetic friction between block and surface b)What is the unbalanced force as the block is moved? c) What is the acceleration of the block?

In the vertical direction, the block is in equilibrium:

∑ F (vertical) = n - mg = 0

where n is the magnitude of the normal force exerted by the surface on the block, and mg is the block's weight. It follows that n = mg = 24.5 N.

In the horizontal direction, the applied force of 14 N is opposed on by the 3.5 N force due to friction, so that the net force gives the block an acceleration a such that

∑ F (horizontal) = 14 N - 3.5 N = ma

(a) The magnitude of friction f is proportional to the magnitude of the normal force such that f = µn, where µ is the coefficient of kinetic friction. So we have

3.5 N = µ (24.5 N)   ==>   µ ≈ 0.14

(b) The net force on the block is 14 N - 3.5 N = 10.5 N pointing in the direction of the block's motion.

(c) Solve for a above:

10.5 N = (2.5 kg) a   ==>   a = 4.2 m/s²

First sentence in the given passage is declarative sentence.

If one would combine first and second sentence, it would become compund sentence.

Explanation:

Brighton Beach Memoirs is a play written by Neil Simon. It is considered for some parts a semi-autobiography of the author.

The given passage talks about this play.

The first sentence of the passage is declarative sentence. A declarative sentence or assertive sentences are those statements that tend to give information or inform the audience about something. For instance, Mary loves reading books. This statement is declarative as it is giving information about Mary's likes.

In the same manner, the first statement of the passage is declarative as it is giving infomration about thoughts of some people about Eugene, the protagonist of the play.

If one would combine first and second sentence, it would become a compound sentence. A compound statement is a sentence that consists of two independent statement combined by a coordinating conjunction.

The first and second statement of the passage are two independent statements that can be combined using a coordinating conjuction.