I do not have a calculator, but let’s think...
Imagine a ballon with a certain amount of gas. When you decrease the volume by squeezing the balloon, you increase the pressure.
Which means volume is inversely proportional to the pressure:
PV=PV
Now to speed things up because class is about to start :/
PV/T=PV/T, I think
Tip: check your units and any questions let me know
The maximum velocity of the rock is 64.55 m/s
Answer: Option B
<u>Explanation:</u>
The possessed energy by the objects while motion called kinetic energy. It is directly proportionate to mass and square of velocity. The stored energy in the system called potential energy and expressed as below,


U = spring’s potential energy in certain place
k = the spring constant, in N/m.
x = the spring’s distance is stretched or compressed away from equilibrium
Conservation of energy states energy neither created nor destroyed but change from one form to other. So, using this concept, equating both potential and kinetic energies equation we get,

Given:
m = 12 g = 0.012 kg
k = 200 N/m
x = 0.500 m
Substitute these values we get,


Taking square root, we get,

Answer:

Explanation:
The force excerted by a magnetic field on a charged particle is given by the Lorentz force:

Lets consider the z-direction of our coordinate system the same direction of the magnetic field, that is:

Let us consider that the velocity of a given particle is:

Therefore, since k×k = 0

And since i, j , k are a rigth hand system:
i × j = k
j × k = i
k × i = j --> i × k= -j

Threfore, if the particle has charge q and velocity v = (vx,vy,vz), the magnetic force it will feel will be

Answer:
The melting point will be lowered and broadened.
Explanation:
The melting point of a substance is the temperature at which the substance changes state from solid to liquid. The incomplete drying of a sample may result in the presence of impurities. There is presence of solid sample in the solution that fails to dry. The solid sample is not fully crystallized from the solvent or any other liquid with which it can form a true solution. The presence of these impurities in a sample for example, the incomplete removal of a recrystallization solvent cause the melting point to both lowered and broadened.
Answer:
See the answer below
Explanation:
Newton's third law states that for every action, there will always be an opposing reaction of equal magnitude to the action.
<em>Hence, the wall will exert an equal opposing force to the head and the roommate will feel this opposing force as pains and/or headache. </em>