A simple pendulum consists of a point mass suspended by a weightless, rigid wire in a uniform gravitation field. Check all that
1 answer:
Answer:
f.The period is independent of the suspended mass.
Explanation:
The period of a pendulum is given by
where
L is the length of the pendulum
g is the acceleration due to gravity
From the formula, we see that:
1) the period of the pendulum depends only on its length, L, and it is proportional to the square root of the length
2) the period does not depend neither on the mass of the pendulum, nor on its amplitude of oscillation
So, the only correct statements are
f.The period is independent of the suspended mass.
Note: statement "e.The period is proportional to the length of the wire" is also wrong, because the period is NOT proportional to the length of the wire, but it is proportional to the square root of it.
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Answer:
Explanation:
The refractive index of a medium is given by the following formula:
where,
η = refractive index = 1.5
= angle of incidence = ?
= angle of refraction = 15°
Therefore,
Answer:
a. The object can have zero acceleration and, simultaneously, nonzero velocity.
c. The object can have nonzero velocity and nonzero acceleration simultaneously.
d. The object can have zero velocity and, simultaneously, nonzero acceleration.
Explanation:
For an object in simple harmonic motion, the total mechanical energy (sum of elastic potential energy and kinetic energy) is constant:
(1)
where
k is the spring constant
x is the displacement
m is the mass
v is the speed
We can also notice that the force on the spring is given by Hook's law:
And since according to Newton's law we have F = ma, this can be rewritten as
which means that the acceleration is proportional to the displacement.
So by looking again at eq.(1), we can now states that:
- when the displacement is zero, x=0, the acceleration is zero, a=0, and the velocity is maximum
- when the velocity is zero, v=0, the acceleration is maximum, which occurs when the displacement is maximum
- in all the other intermediate situations, both velocity and acceleration are non-zero
So the correct answers are
a. The object can have zero acceleration and, simultaneously, nonzero velocity.
c. The object can have nonzero velocity and nonzero acceleration simultaneously.
d. The object can have zero velocity and, simultaneously, nonzero acceleration.