Answer:
2.6×10^{10} m/s
Explanation:
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Answer:
<em>The non resonance frequency of the generator is = 1201.79 Hz</em>
Explanation:
At resonance,
f₀ = 1/2π√LC..................... Equation 1
Where f₀ = resonance frequency, L = inductance, C = capacitance
making LC the subject of the equation
LC = 1/4πf₀²..................... Equation 2
<em>Given: </em>f₀ = 225 Hz, and π = 3.143
<em>Substituting these values into equation 2,</em>
LC = 1/(4×3.143²×225²)
LC = 1/2000385.9
LC = 5×10⁻⁷
If the ratio of capacitive reactance to inductive reactance = 5.36
1/2πfC/2πfL = 5.36
1/4π²f²LC = 5.36
Where f = frequency of the non resonant
making f the subject of the equation
f = 5.36/2π√LC ............. Equation 3
Substituting the value of LC = 5×10⁻⁷ into equation 3
f = 5.36/2×3.143√(5×10⁻⁷)
f = 5.36/(6.286×0.00071)
f = 5.36/0.00446
<em>f = 1201.79 Hz</em>
<em>Thus the non resonant frequency of the generator is = 1201.79 Hz</em>
The speed of the 0.8 kg ball immediately after collision is 0.625 m/s in opposite direction to the stationary ball.
The given parameters;
- mass of the ball, m₁ = 0.8 kg
- speed of the ball, u₁ = 2.5 m/s
- mass of the object at rest, m₂ = 2.5 kg
- final velocity of the object at rest, v₂ = 1 m/s
Let the final velocity of the 0.8 kg ball immediately after collision = v₁
Apply the principle of conservation of linear momentum;
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
(0.8 x 2.5) + (2.5 x 0) = (0.8)v₁ + 2.5(1)
2 = 2.5 + (0.8)v₁
-0.5 = (0.8)v₁

Thus, the speed of the 0.8 kg ball immediately after collision is 0.625 m/s in opposite direction to the stationary ball.
Learn more here: brainly.com/question/7694106
Answer:

Explanation:
We know that for circular motion the centripetal acceleration
is:

where v is the speed and r is the radius.
The centripetal acceleration for the astronaut must be the gravitational acceleration due to the gravity, as there are no other force. So
.
The radius of the orbit must be the radius of the Moon, plus the 270 km above the surface




We can obtain the speed as:






And this is the orbital speed.