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Vectors, Force and Momentum (Coursework Sample)


In this paper, I handled physics questions on \"VECTORS, FORCE, AND MOMENTUM\"


Vectors, Force and Momentum
Two vectors A and B have the same magnitude of 100N (they represent forces of equal strength). We can carry out the following calculations based on the two vectors.
* What is the magnitude of the resultant vector of A and B if they are parallel and pointing in opposite direction?
The two forces are of equal magnitude but acting in opposite direction. Clearly, vectors have magnitude and direction, where in this case we can assume A to be acting to the right with 100N and B to the left with -100N. Thus, they cancel each other and hence the resultant force is zero.
-100N +100N
Resultant force = -100N + 100N = 0
* What is the magnitude of the resultant vector of A and B if they are parallel and pointing in the same direction?
The two forces are of equal magnitude and acting in the same direction. In this case, the two vectors are acting in the same direction (assume to the right) which means they have the same sign. Thus, we can represent them with +100N each to the right. Applying head-tail vector addition, we will have the forces represented by the vector diagram as
+100N +100N
Resultant force = (+100 N) + (+100 N) = 200N to the right
* If A and B are at right angles, is the magnitude of their resultant vector less 100N, exactly 100N or more than 100N?
Suppose A is acting due North while B is acting due East. The vectors form a right-angled triangle of a head-tail vector diagram as shown below.
100N 100 N
The resultant force is found by calculating the length of the hypotenuse using Pythagorean Theorem since the two vectors make a right angle to each other.
Resultant force = (1002+1002 ) N = 141.42 N North-East
Therefore, the resultant force is more than 100N.
* Explain conservation of momentum. Give an example where it can be applied.
The law of conservation of momentum states that for a collision occurring between two objects or bodies in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision. In this case, suppose we have two objects, object A and object B. If the two objects collide, then the momentum lost by A is equal to the momentum gained by B. what this simply implies is that the total momentum of the collection of the two bodies (a system) is conserved, that is, the total momentum is constant or unchanged. For instance, if A loses 75 units of momentum, then B gains 75 units of momentum. However, the total momentum of the two objects A and B is the as before and after the collision. Momentum, p, is the product of mass of the body, m, and its velocity, v. The SI unit for momentum is kgms. The law of conservation of momentum is applied in physics labs in ticker tape analysis. s
Momentum = mass x velocity, P=mv
Collisions occur commonly in sports, for example in football, racket, bat sports (baseball, golf, tennis, etc.). Consider a collision between a fullback and a linebacker during a line stand. The fullback plunges acro...
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