Answer:
A) I_total = 16 m, B) I_total = 8 m, C) I_total = 8 m, D) I_total = 8 m
Explanation:
The moment of inertia is a scalar quantity, therefore the total moment of inertia
I_total = I₁ + I₂ + I₃ + I₄
the moment of inertia of a point mass with respect to an axis of rotation
I = m r²
Let's apply this to our case
A) Rotation axis at the origin
I₁ = m 0 = 0
for the second masses, we find the distance using the Pythagorean theorem
r =
r = 2 √2
I₂ = m (2 √2) ²
I₂ = 8 m
I₃ = m 2² = 4 m
I₄ = m 2² = 4 m
we substitute
I_total = 0 + 8m + 4m + 4m
I_total = 16 m
B) axis of rotation in the center of the square
let's find the distance to any mass
r =
r = √2
I₁ = m 2
I₂ = m 2
i₃ = m 3
I₄ = m 4
we substitute
I_total = 4 (2m)
I_total = 8 m
C) axis of rotation is the x axis
I₁ = 0
I₂ = m 2² = 4 m
I₃ = m 2² = 4 m
I₄ = 0
I_total = 8 m
D) axis of rotation is the y-axis
I₁ = 0
I₂ = 4m
I₃ = 0
I₄ = 4 m
I_total = 8 m
Answer:
the ratio of the number of turns in the primary and secondary coils.
Explanation:
hope i'm not too late!!
1. To solve this problem, you must apply formula of Universal Gravitation Law, which is shown below:
F=Gm1m2/r²
F=2.75x10^-12
G=6.7x10^-11
r=2.6 m
m2=2m1
2. You must clear m1, as below:
F=G(m1)(2m1)/r²
F=G(2m1)²/r²
m1=√(Fr²/2G)
3. When you susbtitute the values into the formula m1=√(Fr²/2G), you obtain:
m1=√(Fr²/2G)
m1√0.13
m1=0.37
m2=2m1
m2=2(0.37)
m2=0.74
4. Therefore, the answer is:
m1=0.37
m2=0.74
Answer:
2500 N/C
Explanation:
Electric Field: This can be defined as the the force per unit charge in an electric field. The S.I unit is N/C
V = E.r ....................... Equation 1
Where V = Electric potential, E = Electric Field, r = Distance between the two parallel plate,
Make E the subject of the equation,
E = V/r .................... Equation 2
Given: V = 10 V, r = 4.00 mm = (4/1000) m = 0.004 m.
Substitute into equation 2
E = 10/0.004
E = 2500 N/C
Hence the electric field = 2500 N/C
Answer:
68.5 meters
Explanation:
Given:
v₀ = 0 m/s
a = 9.8 m/s²
t = 3.74 s
Find: Δy
Δy = v₀ t + ½ at²
Δy = (0) (3.74) + ½ (9.8) (3.74)²
Δy = 68.5
The egg fell 68.5 meters.