Inertia is defined as the tendency of a body to preserve its state of rest or uniform motion unless acted upon by an external force.
When a bus at rest starts to move suddenly,the passenger move backward because of inertia of the passenger to remain in the state of rest .
Answer:
x₁ = 0.62 m
Explanation:
In this exercise the force is electric, given by Coulomb's law
F =
This force is a vector, since the three charges are in a line we can reduce the vector sum to a scalar sum.
For the sense of force let us use that charges of the same sign repel and charges of the opposite sign attract.
∑ F = F₁₂ - F₂₃
They ask us to find the point where the summaries of the force is zero.
F₁₂ - F₂₃ = 0
F₁₂ = F₂₃
let's fix a reference system located in the first charge (more to the left), the distance between the two charges is d = 1.5 m and x is the distance to the location of the second sphere
k q₁q₂ / x² = k q₂q₃ / (d-x) ²
q₁ (d-x) ² = q₃ x²
let's solve
d² - 2 x d + x² = x²
x² (1 - ) - 2x d + d² = 0
we substitute the values
x² (1- 4/2) - 2 1.5 x + 1.5² = 0
x² (-1) - 3.0 x + 2.25 = 0
x² + 3 x - 2.25 = 0
let's solve the quadratic equation
x = [-3 ± ] / 2
x = [-3 ± 4.24] / 2
x₁ = 0.62 m
x₂ = 3.62 m
since it indicates that the charge q₂ e places between the spheres, the correct solution is
x₁ = 0.62 m
Explanation:
Buoyancy force is equal to the weight of the displaced fluid:
B = ρVg
where ρ is the density of the fluid,
V is the volume of the displaced fluid,
and g is the acceleration due to gravity.
The fluid is water, so ρ = 1000 kg/m³.
The volume displaced is that of a sphere with radius 2 m:
V = 4/3 π r³
V = 4/3 π (2 m)³
V ≈ 33.5 m³
The buoyancy force is therefore:
B = (1000 kg/m³) (33.5 m³) (9.8 m/s²)
B ≈ 328,400 N
Round as needed.
Explanation:
Momentum is conserved in the collision. Momentum is conserved for any interaction between two objects occurring in an isolated system.