Explanation

Finland is known for its extensive archipelago, with approximately 1500 islands.

This makes it one of the countries with the most islands in the world.

Explanation

Explanation

Explanation

The average translational kinetic energy of a molecule is given by:

(3/2)kT = (3/2) × (1.38 × 10^-23 J/K) × T

Since the temperature is the same for both O2 and N2 molecules, the average translational kinetic energy will be the same:

0.048 eV = (3/2)kT

The mass of the molecule does not affect the average translational kinetic energy.

Therefore, the translational kinetic energy of N2 molecules at the same temperature is also:

0.048 eV

Explanation

To find the work done, we need to integrate the force with respect to the displacement.

Given:

F(x) = 7 - 2x + 3x^2 N

x_initial = 0 m

x_final = 5 m

Work done (W) is the integral of force (F) with respect to displacement (x):

W = ∫[x_initial, x_final] F(x) dx

= ∫[0, 5] (7 - 2x + 3x^2) dx

Evaluating the integral:

W = [7x - x^2 + x^3] from 0 to 5

= (7(5) - 5^2 + 5^3) - (7(0) - 0^2 + 0^3)

= (35 - 25 + 125) - 0

= 135 J

Explanation

Escape velocity (vₑ) is given by:

vₑ = √(2GM/r)

where:

G = gravitational constant

M = mass of the planet

r = radius of the planet

Given:

M₂ = 1000M₁ (mass of the new planet is 1000 times that of Earth)

r₂ = 10r₁ (radius of the new planet is 10 times that of Earth)

Escape velocity on the new planet (vₑ₂) is:

vₑ₂ = √(2GM₂/r₂)

= √(2G(1000M₁)/(10r₁))

= √(200G(M₁/r₁))

= √200 × √(2GM₁/r₁)

= √200 × vₑ₁

Given vₑ₁ = 11.2 km/s:

vₑ₂ ≈ √200 × 11.2 km/s

≈ 112 km/s

Explanation

Explanation

Since the smaller part becomes stationary, it means that the larger part will carry all the momentum.

Let's say the mass of the smaller part is m and the mass of the larger part is 3m.

Initial momentum = Final momentum

mV + 3mV = 3mV'

where V' is the velocity of the larger part.

Combine like terms:

4mV = 3mV'

Divide both sides by 3m:

V' = 4V/3

Explanation

Explanation