A) The resultant force is 30.4 N at 
B) The resultant force is 18.7 N at 
Explanation:
A)
In order to find the resultant of the two forces, we must resolve each force along the x- and y- direction, and then add the components along each direction to find the components of the resultant.
The two forces are:
at
above x-axis
at
above y-axis
Resolving each force:


So, the components of the resultant are:

And the magnitude of the resultant is:

And the direction is:

B)
In this case, the 15 N is applied in the opposite direction to the 20 N force. Therefore we need to re-calculate its components, keeping in mind that the angle of the 15 N force this time is

So we have:

So, the components of the resultant this time are:

And the magnitude is:

And the direction is:

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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:
.b.Be faster, less power consuming than silicon and much thinner
Explanation:
Graphene has a <em>very high electrical conductivity</em> due to its pi orbitals overlap that enhance the carbon to carbon bonds. This means that a nanoelectronic devise that uses graphene will be faster and will consume less powe and it will be thinner because graphenes have a <em>size of 0.345Nm.</em>
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Answer:
The energy of a photon is directly proportional to it's frequency