m1= mass 1 = 1.1 kg
Vi1 = initial velocity 1 = 2.7 m/s
m2= 2.4 kg
V2i = -1.9 m/s
We assume east as positive and west as negative.
Apply the formulas:
Vf1 = ?
Replacing:
Answer: 3.6 m/s west
Why does an object in motion stay in motion unless acted on by an unbalanced force?
2 answers:
An object in motion stays in motion unless acted on by an unbalanced force A) because forces are what stop and start motion
<h3>Further explanation </h3>In Newton's first law, it is stated that if the resultant force acts on an object of magnitude is zero, it can be formulated:
then the object tends to defend itself from its state.
or can be stated:
<em>An object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force. </em>
So for objects in a state of movement, objects tend to move forever. Likewise, for objects in a state of rest, they tend to remain forever. The tendency of objects like this is called<u> inertia </u>
The size of inertia is proportional to mass, the greater the mass of the object, the greater the inertia of the object.
In objects with mass that move translatively, the object will maintain its linear velocity
<u>Forces are balanced</u> when all the forces act upon an object balance with each other
<u>Forces are unbalanced</u> when there is an individual force that is not being balanced by another force
So the object in balanced forces:
- 1. object at rest v = 0, a = 0
- 2. object at motion v ≠0, a = 0
Let see the answer choices
- A) because forces are what stop and start motion
If there is an unbalanced force, the object will tend to move from the rest position or the object changes its state of motion.
Statement is true
- B) because balanced forces can not exist in nature
Balanced forces can exist in nature for example. For example a person standing on the floor. There are two forces. The force of gravity and the floor for upward force, thus the person maintains its state (rest motion). So this condition is called a state of balance or balance.
Statement is false
- C) because motion is the inherent state of all matter
All matter is not only in a state of movement but also in a position of rest
Statement is false
- D) because motion, once begun, continues to accelerate
motion of object can accelerate or decelerate
Statement is false
<h3>Learn more </h3>
Newton's law of inertia
example of Newton's First Law of inertia
law of motion
Keywords: inertia, Newton's First Law
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Answer:
a) What are the characteristics of the radiation emitted by a blackbody?
The total emitted energy per unit of time and per unit of area depends in its temperature (Stefan-Boltzmann law).
The peak of emission for the spectrum will be displaced to shorter wavelengths as the temperature increase (Wien’s displacement law).
The spectral density energy is related with the temperature and the wavelength (Planck’s law).
b) According to Wien's Law, how many times hotter is an object whose blackbody emission spectrum peaks in the blue, at a wave length of 450 nm, than a object whose spectrum peaks in the red, at 700 nm?
The object with the blackbody emission spectrum peak in the blue is 1.55 times hotter than the object with the blackbody emission spectrum peak in the red.
Explanation:
A blackbody is an ideal body that absorbs all the thermal radiation that hits its surface, thus becoming an excellent emitter, as these bodies express themselves without light radiation, and therefore they look black.
The radiation of a blackbody depends only on its temperature, thus being independent of its shape, material and internal constitution.
If it is study the behavior of the total energy emitted from a blackbody at different temperatures, it can be seen how as the temperature increases the energy will also increase, this energy emitted by the blackbody is known as spectral radiance and the result of the behavior described previously is Stefan's law:
(1)
Where is the Stefan-Boltzmann constant and T is the temperature.
The Wien’s displacement law establish how the peak of emission of the spectrum will be displace to shorter wavelengths as the temperature increase (inversely proportional):
(2)
Planck’s law relate the temperature with the spectral energy density (shape) of the spectrum:
(3)
b) According to Wien's Law, how many times hotter is an object whose blackbody emission spectrum peaks in the blue, at a wavelength of 450 nm, than a object whose spectrum peaks in the red, at 700 nm?
It is need it to known the temperature of both objects before doing the comparison. That can be done by means of the Wien’s displacement law.
Equation (2) can be rewrite in terms of T:
(4)
Case for the object with the blackbody emission spectrum peak in the blue:
Before replacing all the values in equation (4), (450 nm) will be express in meters:
⇒
Case for the object with the blackbody emission spectrum peak in the red:
Following the same approach above:
⇒
Comparison:
The object with the blackbody emission spectrum peak in the blue is 1.55 times hotter than the object with the blackbody emission spectrum peak in the red.
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