<h2>Final velocity of man is -0.23 m/s.</h2>
Explanation:
Conservation of linear momentum :
When no external force acts on a system of several interacting particles, the total linear momentum of system is conserved.
Before the Throw ; Man mass (M₁) = 84.1 kg,
Velocity of Man (u₁) = 0 m/s
Book Mass(M₂) = 1.80 kg
Velocity of book (u₂)= 0 m/s
After the throw ; Man mass(M₁) = 84.1 kg
Velocity of Man(V₁) = ?
Book mass(M₂) = 1.80 kg
velocity of book(V₂) = 11.1 m/s
According to conservation of linear Momentum
Initial Momentum = Final Momentum
M₁u₁ +M₂u₂ = M₁v₁ + M₂v₂
84.1 x0 + 1.80 x0 = 84.1 x v₁ + 1.80 x 11.1
0 = 84.1 v₁ + 19.98
v₁ = -19.98 /84.1
= -0.23 m/s
final velocity of man is -0.23 m/s
Formic acid- Explanation The acid produced by ants is called formic acid. The name comes from the Latin word for ant, which is “Formica.” Chemically, it is a simple carboxylic acid. The most common species of black ant in the United States is the black carpenter ant, which delivers a small amount of formic acid through its jaws as it bites.
Answer:
at the Equator
Explanation:
The four seasons are determined by four main positions in the Earth's orbit in its turn around the Sun (ecliptic plane), which are called solstices and equinoxes: winter solstice (Capricorn point, December 22), spring equinox (Aries point, around March 21-22), summer solstice (Cancer point, June 21) and autumn equinox (Libra point, around September 22-23).
In the equinoxes, the axis of rotation of the Earth is perpendicular to the sun's rays, which fall vertically over the equator. In solstices, the axis is inclined 23.5º, so that the sun's rays fall vertically on the Tropic of Cancer (summer in the northern hemisphere) or Capricorn (summer in the southern hemisphere).
When falling vertically on Ecuador, it generates a greater impact on the surface of the Tierre reaching a greater amount of energy and therefore UV rays.
Answer:
The angular velocity of the wheel in terms of d, F, and I is, ω = d/t (F/I α) s⁻¹
Explanation:
Given,
The angular velocity ω
The displacement d
The magnitude of the applied force, F
The moment of inertia of the wheel I = mr²
The angular velocity can be written as
ω = v /r
where,
v - linear velocity
r - radius of the wheel
ω = d/t (1/r) (∵ v = d /t)
The force can be written as,
F = m a
= m α r (∵ a = α r)
Multiplying both sides by r
F r = m r² α
F r = I α (∵ I = mr²)
r = I α / F
Substituting in the above equation for ω
ω = d/t (F/I α) s⁻¹
Hence, the angular velocity of the wheel in terms of d, F, and I is, ω = d/t (F/I α) s⁻¹