Answer:
Three assumtions are made
Explanation:
The acceleration due to gravity is constant. The medium of projectile motion is assumed to be non-resistive ( i.e. air resistance is negligible)
The rotation of the earth does not affect the motion
Explanation:
The free fall acceleration is:
F = ma
20 N = (0.50 kg) a
a = 40 m/s²
The mass of Planet X is:
F = GMm / r²
20 N = (6.67×10⁻¹¹ Nm²/kg²) M (0.50 kg) / (4.0×10⁶ m)²
M = 9.6×10²⁴ kg
Answer:
W = 529.2 N
Explanation:
We can solve this problem using the translational equilibrium equation, where the forces are the weight of the sergeant and the thrust of the water given by Archimedes' principle
B - W = 0
where the thrust is
B = ρ g V_liquid
The volume of the displaced liquid is
V = A h
we substitute
ρ g A h = W
We reduce the magnitudes to the SI system
h = 2.7 cm = 0.027 m
ρ = 1 g / cm3 = 1000 kg / m³
let's calculate
W = 1000 9.8 2 0.027
W = 529.2 N
When it rains, the growth aids in the soil drift