The simple harmonic motion and Hooke's law allows to find the displacement when hanging the mass of 2 kg is:
x = 2.45 m
Simple harmonic motion is a motion where the restoring force is proportional to the displacement.
x = A cos (wt + Ф)
Where x is the displacement, A is the amplitude, w is the angular velocity, t is the time
The angular velocity is
w² = k / m
Where k is the spring constant and m is the mass.
From the graph we see that the oscillatory wave has half a period between the times t₁ =
and t₂ =
, therefore the period is:
T = π s.
The angle in a complete oscillation is θ = 2π rad.
The angular kinematics defines the angular velocity with the angle in the unit of time.
w =
w =
w = 2 rad / s
Let's find the spring constant.
k = w² m
Let's calculate.
k = 2² 2
k = 8 N / m
Hooke's law says that the restoring force of a spring is<em> proportional</em> to its displacement.
F = - k x
mg = - k x
x =
x =
x = 2.45 m
In conclusion using simple harmonic motion and Hooke's law we can find the displacement when hanging the 2kg mass is:
x = 2.45 m
Learn more here: brainly.com/question/17315536
The amplitude of a wave is the distance from the center of the wave to one of its peaks or one of its troughs. The distance from center to peak or center to trough is the same, therefore the top-to-bottom distance is simply twice the wave's amplitude, 8.0m
Answer:
F > W * sin(α)
Explanation:
The force needed for the box to start sliding up depends on the incline (α).
The external forces acting on the box would be the weight, the normal reaction and the lifting force that is applied to make it slide up.
These forces can be decomposed on their normal and tangential (to the slide plane) components.
The weight will be split into
Wn = W * cos(α) (in normal direction)
Wt = W * sin(α) (in tangential direction)
The normal reaction will be alligned with the normal axis, and will be equal to -Wn
N = -W* cos(α) (in normal direction)
To mke the box slide up, a force must be applied, that is opposite to the tangential component of the weight and at least a little larger
F > |-W * sin(α)| (in tangential direction)
Depends on which, most pf water in general resides within the ocean but fresh water resides mostly within ice caps in the arctic, Hope this helps
~Marquest
When a gas is heated to become a plasma, the atoms (or the molecules) of the gas become ionised. In the ionisation, the atoms loose electrons from the exterior energy levels and thus heating to achieve a plasma will create free electrons and ionized atoms (or ionized molecules).
A plasma can not contain neutrons, because neutrons together with protons make the nuclei of the atoms. To free the neutrons from the atomn nuclei there would be necessary HUGE temperatures.
Also a plasma does not contain neutral elements (atoms) or (neutral) molecules, but Ionized atoms and/or molecules and free electrons.
Thus the good answer is d)