Answer:
The height of the cliff is 121.276 m
Explanation:
Given;
initial velocity of the projectile, v₁ = 75 m/s
final velocity of the projectile, v₂ = 90 m/s
spring compression = 5 m
Apply the law of conservation of energy;
mgh₀ + ¹/₂mv₁² = mgh₂ + ¹/₂mv₂²
gh₀ + ¹/₂v₁² = gh₂ + ¹/₂v²
gh₁ - gh₂ = ¹/₂v₂² - ¹/₂v₁²
g(h₀ - h₂) = ¹/₂ (v₂² - v₁²)
h₀ - h₂ = ¹/₂g (v₂² - v₁²)
h₀ = h(cliff) + 5m
when the projectile hits the ground, Final height, h₂ = 0
Therefore, the height of the cliff is 121.276 m
The answer for question 2 i guess it’s c
Answer:
The number of moles of the air is 4.464 x 10⁻⁴ mole
The number of molecules is 2.688 x 10²⁰ molecules
Explanation:
Given;
pressure of the air, P = 1 atm
volume of the air, V = 1 m³
temperature of the air, T = 0° C = 273 K
The number of moles of the air is calculated as;
PV = nRT
where;
n is the number of moles
R is ideal gas constant = 8.2057m³atm/mol.k
The number of molecules is calculated as follows;
1 mole ---------------------> 6.022 x 10²³ molecules
4.464 x 10⁻⁴ mole ----------> ?
= (4.464 x 10⁻⁴) (6.022 x 10²³ molecules)
= 2.688 x 10²⁰ molecules of air.
Answer:
A social movement dedicated to sustaining Earth's systems that support life
Explanation:
That would be environmentalism.
Hope that helped:)
Answer:
The time period of the rope waves is seconds
Explanation:
The period of a wave, T is equal to 1 divided by the frequency of the wave
The number of waves produced per second by the wave = 7 waves
Therefore;
The frequency of the wave, f = 7 complete cycles per second = 7 Hz
f = 7 Hz
The time period of the rope waves, T = seconds