Answer:
B. A rubber band is stretched out
Explanation:
Answer:
E₀ = 5.97 10⁸ N / C
Explanation:
Coulomb's law in a material medium is written
ε is the electrical permittivity of the material
Electric field and force are related
F = q E
in dielectric materials such as mica there is an electric field inside the material that decreases the external field
E = E₀ /ε
where ε is the electrical permittivity of the material; in general it is tabulated in the form
we substitute
F = q E₀ / \epsilon_{r} \epsilon_{o}
for the case of mica it is equal to er = 5.4 and suppose a test charge equal to the charge of the electron
we calculate
E₀ = 2 5.4 8.85 10⁻¹² / 1.6 10⁻¹⁹
E₀ = 59.74 10⁷
E₀ = 5.97 10⁸ N / C
Answer:
8.42Joules
Explanation:
The rotational kinetic energy, denoted by E(rotational), can be calculated using the formula:
E(rotational) = 1/2 × I × ω²
Where;
I = moment of inertia (kgm²)
ω = angular velocity (rad/s)
However, we need to calculate the moment of inertia in this question by using the formula:
I = m × r²
Where;
m = mass (1.3kg)
r = radius (0.6m)
I = 1.3 × 0.6²
I = 1.3 × 0.36
I = 0.468 kgm²
Since I = 0.468 kgm², ω = 6 rad/s, we can calculate rational kinetic energy using:
K.E(rotational) = 1/2 × I × ω²
K.E(rotational) = 1/2 × 0.468 × 6²
K.E(rotational) =1/2 × 0.468 × 36
K.E(rotational) = 18 × 0.468
K.E(rotational) = 8.424
K.E(rotational) = 8.42Joules
Notice that
<em>B</em> = 4<em>i</em> + 6<em>j</em> - 2<em>k</em> = 2 (2<em>i</em> + 3<em>j</em> - <em>k</em>) = 2<em>A</em>
so both vectors point in the same direction and the angle between them is (A) 0°.
