<span>The correct option is C. Energy cannot be created or destroyed. This statement is known as law of conservation of energy, and it implies that whenever a certain form of energy does change, the loss of this form of energy must have converted into an another type of energy. A typical example is an object falling to the ground: initially, the object has gravitational potential energy. As the object falls down, it loses potential energy (since its altitude from the grounf decreases), but it acquires kinetic energy (because its velocity increases). In this example, potential energy has converted into kinetic energy, but the total energy of the object has remained constant.</span>
Answer:

Explanation:
Displacement is a vector that defines the position of a particle. The vector extends from the initial position to the final position. Therefore, the displacement only takes into account this positions, since its trajectory is not important:

Answer:
(a) 
(b) 
Explanation:
Represent losing with L and winning with W.
So:
--- Given

Probability of winning would be:



The question illustrates binomial probability and will be solved using the following binomial expansion;

So:
Solving (a): Winning at least 1
We look at the above and we list out the terms where the powers of W is at least 1; i.e., 1,2,3 and 4
So, we have:

Substitute value for W and L


<em>Hence, the probability of her winning at least one is 0.7599</em>
Solving (a): Wining exactly 2
We look at the above and we list out the terms where the powers of W is exactly 2
So, we have:

Substitute value for W and L


<em>Hence, the probability of her winning exactly two is 0.2646</em>
Answer:
After a nucleus with 85 protons undergoes alpha decay, it has 83 protons.
Explanation:
In an alpha particle there are two protons
In the given substance's nucleus, there are total of 85 protons
After the decay, the proton number reduce
The current proton number after decay is
85 -2 = 83
After a nucleus with 85 protons undergoes alpha decay, it has 83 protons.
Answer:
Explanation:
Giant impact has resulted into formation of celestial bodies such as moon.
Moon was formed years after the Earth was formed. When Earth collided with very big size bodies, there was vaporization of chunks of the planets in to the space. Gravity plays its role and bounded those particles together thus forming moon.
This formation explains Moon is made up of lighter elements and contains too little iron where as Mercury was formed with the rest of the planets and just like earth, its core is formed first which is of iron and then collected the lighter elements to form crust and mantle.
Though both Moon and Mercury were the result of giant impacts yet they have different elements because mercury was made earlier and its is closer to moon hence it collected heavy elements such as iron to for the formation where as moon is the result of collision of Earth and other Mars- sized body hence its constituent particles are different that of mercury.