Answer:
a) 20.29N
b) 19.43N
c) 15N
Explanation:
To find the magnitude of the resultant vectors you first calculate the components of the vector for the angle in between them, next, you sum the x and y component, and finally, you calculate the magnitude.
In all these calculations you can asume that one of the vectors coincides with the x-axis.
a)

b)

c)

Answer:
sentences 2,3, and 5
Explanation:
You can run a test to see if it is true or not for the correct answers.. You cannot test a planets feelings. They do not have feelings. Also, prettiest planet is an opinion. There is no wrong or right with that. Hope this helps.
Answer:
a) Energy density of the magnetic field, u = 183.46 J/m³
b) Total energy, E = 0.167 J
Explanation:
a) Number of turns in the solenoid, N = 1410
Area, A = 13.8 cm² = 0.00138 m²
Current, I = 8.01 A
Length of the solenoid, l = 66.1 cm = 0.661 m
Energy density, u is given by the formula 
Where B is the magnetic field
The magnetic field in a solenoid is given by the formula, 

T

b) The total energy = Energy density * Volume
E = u V
Volume = Area * Length
V = Al = 0.00138 * 0.661
V = 0.00091218 m³
E = 183.46 * 0.00091218
E = 0.167 J
This can be explain through Newton’s first law of motion where an
object at rest remain in rest unless acted upon by an unbalanced force. Hence,
the dust particles having inertia and trapped within the pores of the carpet
has the tendency to remain at the state of rest, it does not move and resist
motion but when the carpet is beaten with a stick, dust comes out because the
force from a stick acted upon it.