Answer:
Explanation:
To begin with, we must determine the pressure acting on the sphere, which is calculated using:
where
denotes the atmospheric pressure
represents the density of the water
signifies the acceleration due to gravity
indicates the depth
By substituting these values,
The sphere's radius is calculated as r = d/2 = 1.1 m/2 = 0.55 m
Thus, the sphere's total surface area can be expressed as
Consequently, the inward force acting on the sphere equals
Response:
The new resistance is half of the original resistance.
Explanation:
Resistance in a wire is represented by:
= resistivity of the material
L and A are the physical dimensions
If a wire is exchanged for one where all linear dimensions are doubled, i.e. l' = 2l and r' = 2r
The updated resistance of the wire can be calculated as follows:
The new resistance equals half of the original resistance. Thus, this provides the solution needed.
Answer:
d) v1 = v2 = v3
Explanation:
This can be determined through the principle of energy conservation. We assess the total mechanical energy E=K+U (the sum of kinetic energy and gravitational potential energy) at both the initial and final positions, ensuring they remain constant.
<pInitially, for the three spheres, we have:Finally, for the three spheres, we see:
Answer with Explanation:
Concepts and reasoning
The principle for addressing this question is that a capacitor in an RC circuit allows current to flow until fully charged. Once charged, it prevents any further current from moving through. Conversely, the situation is different with an inductor in an RL circuit. In accordance with Faraday's law, an inductor generates an electromagnetic force to counteract the applied voltage, but when no change in flux occurs, it behaves akin to a regular wire as if the inductor is absent.
In the accompanying diagram, a resistor is connected in series with a capacitor.
As we observe
the voltage across both the capacitor and the source.Voltage across a resistor in an RC circuit.
Voltage across a resistor in an RL circuit.
Answer:
2023857702.507 m
Explanation:
Using Newton's law of gravitation:
G = gravitational constant
m_shrew = 50 g
m_elephant = 5 × 10^3 kg
r_earth = Earth's radius, 6400 km or 6,400,000 m
m_earth = Earth's mass
Equate the gravitational forces:
G m_shrew m_earth / r_earth^2 = G m_elephant m_earth / r^2
Cancel common terms on both sides:
m_shrew / r_earth^2 = m_elephant / r^2
Rearranged to solve for r^2:
r^2 = (m_elephant × r_earth^2) / m_shrew
Substituting the values:
r^2 = 4.096 × 10^{13}
Taking square root gives:
r = 2,023,857,702.507 m