- The net force is greatest at the position of maximum displacement
- The net force is zero when at the equilibrium position
Explanation:
The motion of a spring is a Simple Harmonic Motion, in which the displacement of the end of the spring is given by a periodic function of the form

where A is the amplitude (the maximum displacement), and
the angular frequency of the motion.
We can analyze the net force acting on the spring by looking at Hooke's law:

where
F is the net force
k is the spring constant
x is the displacement
From the equation, we notice immediately that:
- The net force is the greatest when the displacement x is the greates, so at the position in which the spring has maximum compression or stretching
- The net force is zero when the displacement x is zero, so when the spring crosses the equilibrium position
Learn more about forces:
brainly.com/question/8459017
brainly.com/question/11292757
brainly.com/question/12978926
#LearnwithBrainly
Geology belongs to the category of Natural Sciences. Natural sciences is the study of natural phenomena. Among the natural sciences, we have physical science, which is the study of non-living systems. Further along this branch, we have earth sciences where Geology belongs.
Answer:
The term illegal alien refers to a foreign person who is living in a country to which they are not an official legal citizen.
Answer:
vi = 4.77 ft/s
Explanation:
Given:
- The radius of the surface R = 1.45 ft
- The Angle at which the the sphere leaves
- Initial velocity vi
- Final velocity vf
Find:
Determine the sphere's initial speed.
Solution:
- Newton's second law of motion in centripetal direction is given as:
m*g*cos(θ) - N = m*v^2 / R
Where, m: mass of sphere
g: Gravitational Acceleration
θ: Angle with the vertical
N: Normal contact force.
- The sphere leaves surface at θ = 34°. The Normal contact is N = 0. Then we have:
m*g*cos(θ) - 0 = m*vf^2 / R
g*cos(θ) = vf^2 / R
vf^2 = R*g*cos(θ)
vf^2 = 1.45*32.2*cos(34)
vf^2 = 38.708 ft/s
- Using conservation of energy for initial release point and point where sphere leaves cylinder:
ΔK.E = ΔP.E
0.5*m* ( vf^2 - vi^2 ) = m*g*(R - R*cos(θ))
( vf^2 - vi^2 ) = 2*g*R*( 1 - cos(θ))
vi^2 = vf^2 - 2*g*R*( 1 - cos(θ))
vi^2 = 38.708 - 2*32.2*1.45*(1-cos(34))
vi^2 = 22.744
vi = 4.77 ft/s
The statement the mechanical advantage of the lever is 16 is False.
<h3>Mechanical Advantage</h3>
Mechanical advantage MA = d/D where
- d = distance moved by effort and
- D = distance moved by load
Given that the effort arm is 8 meters long, d = distance moved by effort = 8 m.
Also, given that the resistance arm is 2 meters long, D = distance moved by load = 2 m.
<h3>Calculating the mechanical advantage</h3>
So, substituting the values of the variables into the equation, we have
MA = d/D
MA = 8 m/2 m
MA = 4
Since MA = 4, so, the stament is False.
So, the statement the mechanical advantage of the lever is 16 is False.
Learn more about mechanical advantage here:
brainly.com/question/13779480