Answer:
v₂ = 16 m/s
Explanation:
We can use the continuity equation, which is as follows:

where,
A₁ = Area of inlet = πd²/4
A₂ = Area of outlet = π(d/2)²/4 = πd²/16
v₁ = velocity at inlet = 4 m/s
v₂ = velocity at outlet = ?
Therefore,

<u>v₂ = 16 m/s</u>
Answer:
The speed of the two cars after coupling is 0.46 m/s.
Explanation:
It is given that,
Mass of car 1, m₁ = 15,000 kg
Mass of car 2, m₂ = 50,000 kg
Speed of car 1, u₁ = 2 m/s
Initial speed of car 2, u₂ = 0
Let V is the speed of the two cars after coupling. It is the case of inelastic collision. Applying the conservation of momentum as :


V = 0.46 m/s
So, the speed of the two cars after coupling is 0.46 m/s. Hence, this is the required solution.
Answer:
4.416 W/m²
Explanation:
Malus' law is given mathematically as
I = I₀ cos² θ
For the first polarizer, θ = 60°
I₁ = I₀ cos² 60°
I₁ = I₀ (0.5)² = 0.25I₀
For the second polarizer, θ = 20°
I₂ = I₁ cos² 20°
I₂ = I₁ (0.9397)² = 0.883 I₁
I₂ = 0.883 × 0.25I₀ = 0.2208 I₀
Note that
I₀ = 20 W/m²
I₂ = 0.2208 × 20 = 4.416 W/m²
Hope this Helps!!!
The basic formula for power is P=W/t meaning it is the rate at which work is accomplished.