Answer: 4 over 3
Explanation:
well x^3=64/27
take cube roots for both sides
x= 3√64/27
Use property of radical expressions and you’ll have the answer.
x=4/3
Answer:
Nails are made of iron. Iron consists of 26 protons and 26 electrons. protons are positively charged and electrons are negatively charged, so this force of attraction keeps the electrons together.
If electrons repel from each other, the positively charge protons and nucleus allow them to move in a definite orbit and prevent them flying out of the nail.
Answer:
Yes,
NO,
Yes,
Yes,
No.
Explanation:
CASE: A wire is moved through the field of a magnet
As the wire is moved through the field of a magnetic the magnetic flux through the circuit loop changes,; therefore current is induced.
CASE: A magnet is held close to a wire
There needs to be relative motion between the wire and the magnet for the current to be induced; therefore, simply holding a magnet close to a wire will not induce current in the circuit.
CASE: A magnet is moved into a coil of wire
As the magnet is moved into a coil of wire, the magnetic flux through the coil changes, and therefore, the current is induced.
CASE: A magnet is moved out of coil of wire
Moving a magnet out of coil of wire also changes the magnetic flux through the coil; therefore, the current is induced.
CASE: A magnet rests in coil of wire
There needs to be relative motion between the coil of wire and the magnet for the current to be induced; therefore, a magnet resting in the coil of wire will no induce any current in the coil.
The answer is C. The Right yo a Speedy Trial. I just had that question and I got it right.
Answer:
A) L = 0.496 m, B) the movement of the elevator upwards decreases the angular velocity of the pendulum
Explanation:
A) The motion of a simple pendulum is a harmonic motion with angular velocity
w² = g /L
angular velocity and frequency are related
w = 2π f
we substitute
4π² f² = g /L
L =
let's calculate
L = 9.8 / 4 pi² 0.5
L = 0.496 m
B) To see the effect of the elevator acceleration (aₐ), let's use Newton's second law.
At the acceleration from the vertical direction upwards, let's decompose it is a component parallel to the movement and another perpendicular
sin θ = a_parallel / aₐ
a_parallel = aₐ sin θ
this component of the acceleration is in the opposite direction to the movement of the system, so it must be negative
- W sin θ = m (a - a_parallel)
- mg sin θ = m ()
all angles are measured in radians, therefore the angular displacement is
s = L θ
We solve the system for small angles
sin θ = θ
we substitute
- mg θ + m aₐ θ = m L
this is the same equation of the simple pendulum therefore the angular velocity is
w² =
When analyzing this expression, we see that the movement of the elevator upwards decreases the angular velocity of the pendulum