Answer:
The height of the mountain is 4670.35 metres.
Explanation:
Answer:
a) a = - 0.0524 m/s²
b) t = 6.17 s
Explanation:
Given
τ = 0.18*τ₀ / x
τ₀ = 3.6 m/s
Determine:
a) The acceleration of the air at x= 2m.
Knowing
a = dτ / dt
Multiplying both the numerator and denominator by dx
a = (dτ / dx) (dx / dt)
Substituting τ for dx / dt
a = τ*(dτ / dx)
⇒ a = τ*(-0.18*τ₀ / x²) = (0.18*τ₀ / x)(-0.18*τ₀ / x²)
⇒ a = - 0.18²*τ₀² / x³ = - 0.18²*(3.6)² / x³
⇒ a = - 0.4199 / x³
If x = 2m
⇒ a = - 0.4199 / (2)³
⇒ a = - 0.0524 m/s²
b) The time required for the air to flow from x=1 to x= 3m.
If
τ = dx / dt = 0.18*τ₀ / x
⇒ dt = (x / 0.18*τ₀) dx
⇒ t = (1 / 0.18*τ₀) ∫x dx
⇒ t = (1 / 0.18*τ₀)*(1 / 2)*x²
then
t = (1 / (0.18*3.6))*(1 / 2)*((3)² - (1)²)
⇒ t = 6.17 s
Answer:
Science is finding out the things in the world and creations.
Nation Building is creating things human made.
Explanation:
Science is a major part in our world and scientists do that to find out.
Nation Building is human made for humans.
Answer:
As per my experience Egor Popov is one the best book for mechanics of materials.
Explanation:
hope this helps
Answer:
V = 280.15 V
Explanation:
" The complete question is attached with figure"
Given:
- The capacitance of the capacitor C = 10 nF
- The amount of mass attached to motor m = 4 grams
- The amount of distance it is to be lifted h = 1 cm
- Ignore all other losses in the system
Find:
- The voltage required to lift the mass m through distance h?
Solution:
- The conservation of energy for the entire system is written as:
Work_gravity = U_c
Where,
Work_gravity: Work done by gravity on mass m
U_c: The amount of energy stored in a capacitor
m*g*h = 0.5*C*V^2
V^2 = 2*m*g*h / C
V = sqrt ( 2*m*g*h / C )
Plug in the values:
V = sqrt ( 2*0.004*9.81*0.01 / 10*10^-9 )
V = sqrt ( 78,480)
V = 28.15 V