A test charge of +3 µC is at a point P where the electric field due to the other charges is directed to the right and has a magn
1 answer:
Answer:
Electric field will remain same.
Explanation:
Given that
At initial condition ,charge q = +3μ C
Electric field E = 4106 N/c
As we know that
Electric field due to charge q
Now when charge is replaced by new charge q'= -3μ C
From the expression of electric field we can say that electric field will remain same from same quantity of electric charge.
So we can say that electric field will remain same.
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Answer:
(A) 180 kg·m²
(B) 0.111 rad/s²
(C) The number of revolutions the merry-go-round will complete until it finally stops is 3.142 or π rev
Explanation:
The equation of the moment of inertia of a solid cylinder is presented as follows;
Where:
I = Moment of inertia of the merry-go-round
M = Mass of the merry-go-round
R = Radius of the merry-go-round
Therefore, I = 1/2×90×2² = 180 kg·m²
(B) For the angular acceleration we have;
Therefore, since the force × radius = The torque, we have, angular acceleration is found as follows
F × R = τ
10.0 × 2.0 = 20 = I×α = 180×α
α = 20/180 = 0.111 rad/s².
angular acceleration = 0.111 rad/s².
(C) Here we have ω₀ = 20 rev/ min = 20×2×π rad/min = π·40/60 rad/s
2/3·π rad/s
ω = ω₀ - α×t
∴ t = ω₀/α = (2/3·π rad/s)/(0.111 rad/s²) = 18.85 s
Hence we have
θ = ω₀·t + 1/2·α·t², plugging in the values, we have;
θ = 2/3·π×18.85 - 1/2·0.111·18.85²
θ = 19.74 rad
Therefore, since 2·π radian = 1 revolution
The number of revolutions the merry-go-round will complete until it stops is 19.74/(2·π) = 3.142 or π revolutions.
Answer:
The position is relative to the base of the ocean
Explanation:
From the question we are told that
The angle made by the incline with the horizontal is
The constant acceleration is
The distance covered is
The height of the cliff is
The velocity of the car is mathematically represented as
The initial velocity of the car is u= 0
So
substituting values
The vertical component of this velocity is
substituting values
The negative sign is because is moving in the negative direction of the y-axis
The horizontal component of this velocity is
Now according to equation of motion we have
substituting values
using quadratic equation we have that
given that time cannot be negative
The car’s position relative to the base of the cliff when the car lands in the ocean is mathematically evaluate as
substituting values