Answer:
a) F = 0.01234N to the south direction
b) F = 0.01234N to the north direction
c) F = 0.01234N
d) North of West
Explanation:
The magnetic force in a magnetic field is given by:
Length of the wire, l = 1 cm = 0.01 m
Current flowing through the wire, I = 2.15 A
a) If the magnetic field direction is east
∅ = 90
F = 0.574 * 2.15 * 0.01
F = 0.01234 N to the south direction according to the Fleming's Right Hand Rule
b) If the magnetic field direction is south
The magnitude of the magnetic force remains the same
That is , F = BIL sin 90
F = 0.01234 N to the west
c) If the magnetic field direction is 30 degrees south
The angle between the magnetic field and the length of the wire still remains 90 degrees
Therefore the magnitude of the force still remains 0.01234
F = 0.01234 N
d) the direction of the force is the North of West
Answer:
a) v₃ = 19.54 km, b) 70.2º north-west
Explanation:
This is a vector exercise, the best way to solve it is finding the components of each vector and doing the addition
vector 1 moves 26 km northeast
let's use trigonometry to find its components
cos 45 = x₁ / V₁
sin 45 = y₁ / V₁
x₁ = v₁ cos 45
y₁ = v₁ sin 45
x₁ = 26 cos 45
y₁ = 26 sin 45
x₁ = 18.38 km
y₁ = 18.38 km
Vector 2 moves 45 km north
y₂ = 45 km
Unknown 3 vector
x3 =?
y3 =?
Vector Resulting 70 km north of the starting point
R_y = 70 km
we make the sum on each axis
X axis
Rₓ = x₁ + x₃
x₃ = Rₓ -x₁
x₃ = 0 - 18.38
x₃ = -18.38 km
Y Axis
R_y = y₁ + y₂ + y₃
y₃ = R_y - y₁ -y₂
y₃ = 70 -18.38 - 45
y₃ = 6.62 km
the vector of the third leg of the journey is
v₃ = (-18.38 i ^ +6.62 j^ ) km
let's use the Pythagorean theorem to find the length
v₃ = √ (18.38² + 6.62²)
v₃ = 19.54 km
to find the angle let's use trigonometry
tan θ = y₃ / x₃
θ = tan⁻¹ (y₃ / x₃)
θ = tan⁻¹ (6.62 / (- 18.38))
θ = -19.8º
with respect to the x axis, if we measure this angle from the positive side of the x axis it is
θ’= 180 -19.8
θ’= 160.19º
I mean the address is
θ’’ = 90-19.8
θ = 70.2º
70.2º north-west
Gravitational energy is a form of potential energy because it is dependent on the mass of an object and needs to be calculated for the specific object.
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