Answer:
1) τ = I α whereby the torque is provided by the angular acceleration
2) L = 216 Kg m² / s
Explanation:
1) Let's start with Newton's second law
F = m a
multiply by the arm or perpendicular distance
F r = m a r
if the distance is not perpendicular a way of realizing the relations using the vector product
τ = F r = F x r
the bold are vectors. The angular and linear acceleration are related
a = α r=
τ = m (α r) r
τ = (m r²) α
the inertia of the rotational motion is
I = m r²
we substitute
τ = I α
whereby the torque is provided by the angular acceleration.
As an example we have:
* a spinning disk
* a ball rotating in the air
* a pulley
2) The rotational momentum is
L = I w
the moment of inertia of a rod that through its center
I = m L²
we substitute
L = m L² w
let's calculate
L = 6 1.5 2 16
L = 216 Kg m² / s
Add more of the liquid because the length is more redemption.
Answer:
1.024 × 10⁸ m
Explanation:
The velocity v₀ of the orbit 8RE is v₀ = 8REω where ω = angular speed.
So, ω = v₀/8RE
For the orbit with radius R for it to maintain a circular orbit and velocity 2v₀, we have
2v₀ = Rω
substituting ω = v₀/8RE into the equation, we have
2v₀ = v₀R/8RE
dividing both sides by v₀, we have
2v₀/v₀ = R/8RE
2 = R/8RE
So, R = 2 × 8RE
R = 16RE
substituting RE = 6.4 × 10⁶ m
R = 16RE
= 16 × 6.4 × 10⁶ m
= 102.4 × 10⁶ m
= 1.024 × 10⁸ m
<span>Let m1=10kg and m2=5kg and for our calculations assume right is positive and up is positive (note: for block hanging, the x axis is vertical so tilt your head to help)
For m1
Sigma Fx = ma
T - m1gsin35 = m1a where T = tension
For m2
m2g - T = m2a
Add equation together
m1a + m2a = T-m1gsin35 + m2g - T
a(m1 + m2) = m2g - m1gsin35
a= (5*9.8 - 10*9.8*sin35)/(10 + 5)
a= -0.48m/s/s
So the system is moving in the opposite direction of our set coordinate system where we said right positive, its negative so its moving left therefore down the ramp</span>
The neutral pH is 7. Less than 7 indicates an acid and more than 7 indicates a base (up to 14).
<span>
NaCl - it's a salt (we can't measure the pH)
H2O - it can be an acid but also a base (the pH it is almost neutral,meaning close to 7 )
HF - it is a strong acid
</span><span>
KOH
- it is a strong base (pH=14)
</span>
↓
He needs to use HF (Hydrogen fluoride) to decrease the pH.