Answer:
Explanation:
given,
total deflection = 4.12 cm
Electric field = 1.1 ×10³ V/m
plate length = 6 cm
distance between them = 12 cm
using formula
q = 1.6 × 10⁻¹⁹ C
m = 9.11 x 10⁻³¹ kg
d = 0.06 m
L = 0.12 m
v_0 = 6496355.63 m/s
Determine the vector perpendicular to the plane of A= 31+ 6j - 2k and B=4i-j +3k
1 answer:
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Answer:
<h2>The magnitude of the magnetic is 0.145 T</h2>Explanation:
Given :
Speed of proton
Mass of proton Kg
The force on the proton in magnetic field is given by,
But (∵ Force is perpendicular to the velocity so
)
When particle enter in magnetic field at the angle of 90° so particle moves in circle
So force is given by,
Where radius but in our case 0.23 m,
C
By comparing above two equation,
T
Answer:
a) K = 2/3 π G m ρ R₁³ / R₂ , b) U = - G m M / r
Explanation:
The law of universal gravitation is
F = G m M / r²
Part A
Let's use Newton's second law
F = m a
The acceleration is centripetal
a = v² / R₂
G m M / R₂² = m v² / R₂
v² = G M / R₂
They give us the density of the planet
ρ = M / V
V = 4/3 π R₁³
M = ρ V
M = ρ 4/3 π R₁³
v² = 4/3 π G ρ R₁³ / R₂
K = ½ m v²
K = ½ m (4/3 π G ρ R₁³ / R₂)
K = 2/3 π G m ρ R₁³ / R₂
Part B
Potential energy and strength are related
F = - dU / dr
∫ dU = - ∫ F. dr
The force was directed towards the center and the vector r outwards therefore there is an angle of 180º between the two cos 180 = -1
U- U₀ = G m M ∫ dr / r²
U - U₀ = G m M (- r⁻¹)
We evaluate for
U - U₀ = -G m M (1 / - 1 /
)
They indicate that for ri = ∞ U₀ = 0
U = - G m M / r