Answer:
F = 0.768 i ^ - 0.576 j ^ + 0.24 k ^
the correct answer is "b"
Explanation:
The magnetic force is
F = i l x B
The bold are vectors, in this case they give us the direction of the current and the magnetic field, for which we can solve as a determinant
![F = i \left[\begin{array}{ccc}x&y&z\\3&4&0\\0&5&12\end{array}\right]](https://tex.z-dn.net/?f=F%20%3D%20i%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26y%26z%5C%5C3%264%260%5C%5C0%265%2612%5Cend%7Barray%7D%5Cright%5D)
resolver
F = i ^ (4 12 - 0) + j ^ (0- 3 12) + k ^ (3 5 - 0)
F = i (48 i ^ - 36 j ^ + 15 k⁾
in this case i is the value of the current flowing through the cable
i = 16 mA = 0.016 A
F = 0.768 i ^ - 0.576 j ^ + 0.24 k ^
When reviewing the different answers, the correct answer is "b"
Answer:
w = 1.976 rpm
Explanation:
For simulate the gravity we will use the centripetal aceleration 
, so:
where w is the angular aceleration and r the radius.
We know by the question that:
r = 60.5m
= 2.6m/s2
So, Replacing the data, and solving for w, we get:
W = 0.207 rad/s
Finally we change the angular velocity from rad/s to rpm as:
W = 0.207 rad/s = 0.207*60/(2
)= 1.976 rpm
Explanation:
Distance d=1.5×108 km=1.5×1011 m
Mass of the sun, m=2×1030 kg
Mass of the earth, M=6×1024 kg
Force of gravitation, F=G×d2m×M
F=6.7×10−11×(1.5×1011)22×1030×6×1024=3.57×1022 N
Answer:
P = n P₀ 4.9 10¹⁴ Pa
Explanation:
The radiation pressure for full absorption is
P = S / c
Where S the pointing vector, which is equal to the intensity of the beam that is defined as the energy per unit area per unit time
The energy of the protons can be calculated
Em = K = ½ m v²
Area
A = π r²
Intensity is
I = n ½ m v² / π r²
I = ½ n m /π v² / r²
We replace
S = U / t A
S = ½ n m /π v² / r² Δt
The pressure is
P = 1/c (½ n m /π (v / r Δt)²2
Δt = 45 10⁻⁹ s
P = n [½ m /πc (v/r)²] 4.9 10¹⁴
The amount in square brackets is the pressure that a proton creates, which is why it is useful
P = n P₀ 4.9 10¹⁴ Pa
Where Po is the pressure created by a proton
Answer:
The rate of change of distance between the two ships is 18.63 km/h
Explanation:
Given;
distance between the two ships, d = 140 km
speed of ship A = 30 km/h
speed of ship B = 25 km/h
between noon (12 pm) to 4 pm = 4 hours
The displacement of ship A at 4pm = 140 km - (30 km/h x 4h) =
140 km - 120 km = 20 km
(the subtraction is because A is moving away from the initial position and the distance between the two ships is decreasing)
The displacement of ship B at 4pm = 25 km/h x 4h = 100 km
Using Pythagoras theorem, the resultant displacement of the two ships at 4pm is calculated as;
r² = a² + b²
r² = 20² + 100²
r = √10,400
r = 101.98 km
The rate of change of this distance is calculated as;
r² = a² + b²
r = 101.98 km, a = 20 km, b = 100 km
