The
horizontal component of an angular distance can be calculated by multiplying the
distance with the cosine of the angle, Dx = D * cos θ
While
the vertical component is calculated by multiplying the distance with the sine
of the angle, Dy = D * sin θ
The
resultant displacement can then be obtained using the formula for hypotenuse
and summations of each component:
R^2
= (summation of Dx)^2 + (summation of Dy)^2
summation
of Dx = 600 * cos47 + 500 * cos128 + 300 * cos209 + 400 *
cos(-77) = -71.0372
summation of Dy = 600 * sin47
+ 500 * sin128 + 300 * sin209 + 400 * sin(-77) = 297.6267
<span> Note: you have to draw the lines to correctly
determine the angles</span>
R^2 = (-71.0372)^2 + 297.6267^2
R = 306 m
The resultant angle is:
tan θ = Dy / Dx
θ =
tan^-1 (297.6267 / -71.0372)
θ =
103˚ = [N 13˚ W]
Therefore
displacement is 306 m <span>[N 13˚ W].</span>
Answer:
The new current in the wire is 6.3 A.
Explanation:
Given that,
Force in a straight wire, F = 0.023 N
Current in the wire, I = 2.5 A
If new force is, F' = 0.058 N, we need to find the new current.
We know that, magnetic force is given by :

It is clear that force is directly proportional to electric current. So, we can say:

I' is new current

So, the new current in the wire is 6.3 A. Hence, this is the required solution.
Answer:
B
Explanation:
Because it has to increase
Answer:
B
Explanation:
Water is essential to most bodily functions.
(a) The capacitance of the capacitor is:

and the voltage applied across its plates is

The relationship between the charge Q on each plate of the capacitor, the capacitance and the voltage is:

and re-arranging it we find the charge stored in the capacitor:

(b) The electrical potential energy stored in a capacitor is given by

where C is the capacitance and V is the voltage. The new voltage is

so the energy stored in the capacitor is