Answer:
8 million animals
Explanation:
This is because all over the world, animals are consumed as food and they serve as source of protein.
Animals are used to make different delicacies depending on the choice of the consumer and it is the major source of protein. Every hour, about 8 millions are killed and are sold to consumers and other parts of it can be use for other things. Examples of animals consumed are goat, sheep, cow, chicken e t.c.
Answer:
L = mp*v₀*(ms*D) / (ms + mp)
Explanation:
Given info
ms = mass of the hockey stick
uis = 0 (initial speed of the hockey stick before the collision)
xis = D (initial position of center of mass of the hockey stick before the collision)
mp = mass of the puck
uip = v₀ (initial speed of the puck before the collision)
xip = 0 (initial position of center of mass of the puck before the collision)
If we apply
Ycm = (ms*xis + mp*xip) / (ms + mp)
⇒ Ycm = (ms*D + mp*0) / (ms + mp)
⇒ Ycm = (ms*D) / (ms + mp)
Now, we can apply the equation
L = m*v*R
where m = mp
v = v₀
R = Ycm
then we have
L = mp*v₀*(ms*D) / (ms + mp)
Answer:
α = 17.0 rad/s²
Explanation:
For this problem let's use the torque expression
τ = I α
Torque is the product of force by the distance that is half the length of the pencil
τ = F x
Let's use trigonometry
sin 10 = x / (l / 2)
x = l / 2 sin 10
τ = mg l /2 sin 10
The moment of inertia of pencil that we approximate as a rod with the axis of rotation at one end
I = 1/3 m L²
We replace
mg l / 2 sin 10 = 1/3 m l² α
α = 3/2 g/l sin 10
Let's reduce the magnitudes to the SI system
l = 15.0 cm = 0.150 m
m = 10.0 g = 0.0100 kg
Let's calculate
α = 3/2 9.8 / 0.150 sin 10
α = 17.0 rad/s²
Answer:
(ω₁ / ω₂) = 1.9079
Explanation:
Given
R₁ = 3.59 cm
R₂ = 7.22 cm
m₁ = m₂ = m
K₁ = K₂
We know that
K₁ = Kt₁ + Kr₁ = 0.5*m₁*v₁²+0.5*I₁*ω₁²
if
v₁ = ω₁*R₁
and
I₁ = (2/3)*m₁*R₁² = (2/3)*m*R₁²
∴ K₁ = 0.5*m*ω₁²*R₁²+0.5*(2/3)*m*R₁²*ω₁² <em>(I)</em>
then
K₂ = Kt₂ + Kr₂ = 0.5*m₂*v₂²+0.5*I₂*ω₂²
if
v₂ = ω₂*R₂
and
I₂ = 0.5*m₂*R₂² = 0.5*m*R₂²
∴ K₂ = 0.5*m*ω₂²*R₂²+0.5*(0.5*m*R₂²)*ω₂² <em>(II)</em>
<em>∵ </em>K₁ = K₂
⇒ 0.5*m*ω₁²*R₁²+0.5*(2/3)*m*R₁²*ω₁² = 0.5*m*ω₂²*R₂²+0.5*(0.5*m*R₂²)*ω₂²
⇒ ω₁²*R₁²+(2/3)*R₁²*ω₁² = ω₂²*R₂²+0.5*R₂²*ω₂²
⇒ (5/3)*ω₁²*R₁² = (3/2)*ω₂²*R₂²
⇒ (ω₁ / ω₂)² = (3/2)*R₂² / ((5/3)*R₁²)
⇒ (ω₁ / ω₂)² = (9/10)*(7.22/ 3.59)²
⇒ (ω₁ / ω₂) = (7.22/ 3.59)√(9/10)
⇒ (ω₁ / ω₂) = 1.9079
Answer:
Thermal energy is transferred from the warm object to the coolant in the refrigerator; coolant is compressed and the coolant's temperature rises (work is done on the coolant); thermal energy is transferred from the warm coolant to the outside air; the coolant expands as it passes through the expansion valve and cools.
Explanation:
hope this helps
