Answer:
The speed is maximum and the acceleration is zero
Explanation:
- The speed of the mass in simple harmonic motion can be found by using the law of conservation of energy. In fact, the total mechanical energy of the mass-spring system is sum of kinetic energy and elastic potential energy:
where
m is the mass
v is the speed
k is the spring constant
x is the displacement
As we can see, when the displacement is zero (x=0), the term representing the kinetic energy is maximum, so v (the speed) is also maximum.
- The acceleration of the mass in simple harmonic motion is proportional to the restoring force acting on the mass, which is given by Hook's law
where
k is the spring constant
x is the displacement
When x = 0, F = 0, so the net force acting on the mass is zero. Therefore, this also means that the acceleration of the mass is also zero: a = 0.
Answer:
The horizontal component is 96.42 N
The vertical component is 114.91 N
Explanation:
A force 150 newtons is inclined at 50 degrees to the horizontal direction
We need to find its component in the horizontal and vertical directions
is the horizontal component
is the vertical component
Look to the attached figure:
The horizontal component is the product of F and cosine
the angle between F and the horizontal
The vertical component is the product of F and sine
the angle between F and the horizontal
→ = F cos(50)
→ = 150 cos(50)
→ = 96.42 N
→ = F sin(50)
→ = 150 sin(50)
→ = 114.91 N
<em>The horizontal component is 96.42 N</em>
<em>The vertical component is 114.91 N</em>
In order to find the radius of the coin, we need to use:
Ac = V^2 r
In which,
Ac = acceleration of the coin = 2.2 m/s^2
V= rotational Speed = (18/12) * 2πr
r= Radius
so,
<span>2.2 = 9(π^2)(r^2) / r
</span><span>= 9(π^2)r
</span>
<span>r = 2.2 / 9(π^2) = 0.02476740044 m . . .or you can rounded it up to 0.025 m</span>
Given values:
Mass of the steel ball, m = 100 g = 0.1 kg
Height of the steel ball, h1 = 1.8 m
Rebound height, h2 = 1.25 m
a. PE= mgh
0.1 x 9.8 x 1.8 =
1.764 Joules
b. KE = PE ->
1.764 Joules
c. KE= 1/2 mv square
so v = square root 2ke/m
square root 2 x 1.764/ 0.1
= 5.93 m/s
d. KE=PE=mgh square
0.1 x 9.8 x 1.21 =
1.186 joules
velocity of rebond is square root 2x 1.186/ 0.1 = 4.87 m/s
Answer:
The photon has a wavelength of
Explanation:
The speed of a wave can be defined as:
(1)
Where v is the speed, is the frequency and is the wavelength.
Equation 1 can be expressed in the following way for the case of an electromagnetic wave:
(2)
Where c is the speed of light.
Therefore, can be isolated from equation 2 to get the wavelength of the photon.
(3)
Hence, the photon has a wavelength of
<em>Summary: </em>
Photons are the particles that constitutes light.