The impact force makes sense because the impulse experienced by the body cause a great change in momentum of the body.
<h3 /><h3>What is impulse?</h3>
This is the force that acts on a body over a given period of time. The impulse experienced by a body is determined as the product of force and time of action.
J = Ft
The change in momentum of a body is equal to the impulse experienced by the body.
ΔP = Ft
Thus, the impact force makes sense because the impulse experienced by the body cause a great change in momentum of the body.
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Answer:
1.98 m/s
Explanation:
To solve this, we would be using the law of conservation of energy, i.e total initial energy is equal to total final energy.
E(i) = E(f)
mgh = ½Iw² + ½mv²
Recall, v = wr, thus, w = v/r
Also, I = ½mr²
I = 0.5 * 5 * 2²
I = 10 kgm²
Remember,
mgh = ½Iw² + ½mv²
Substituting w for v/r, we have
mgh = ½I(v/r)² + ½mv²
Now, putting the values in the equation, we have
5 * 9.8 * 0.3 = ½ * 10 * (v/2)² + ½ * 5 * v²
14.7 = 1.25 v² + 2.5 v²
14.7 = 3.75 v²
v² = 14.7/3.75
v² = 3.92
v = √3.92
v = 1.98 m/s
Thus, the speed is 1.98 m/s
It will take 267 milliseconds for a sample of radon-218 to decay from 99 grams to 0. 50 grams.
We know that half life of a first order reaction is given by: 
where k = rate of reaction
Given half life = 35 milliseconds
So from this we get k = 0.0198
Now we know that rate of first order reaction is given by: 
where t= time
R'= initial amount = 99 g
R= final amount= 0.50 g
k= rate of reaction = 0.0198
Putting values of these in above equation we get t=267 milliseconds.
i.e. It will take 267 milliseconds for a sample of radon-218 to decay from 99 grams to 0. 50 grams.
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Width of the fringes gets decreased if the distance between the slits is increased and thus we get narrower fringes.
What is Young's double-slit experiment?
- In modern physics, the double-slit experiment is a demonstration that light and matter can display characteristics of both classically defined waves and particles; moreover, it displays the fundamentally probabilistic nature of quantum mechanical phenomena.
- This type of experiment was first performed, using light, by Thomas Young in 1802, as a demonstration of the wave behavior of light.
- A wave is split into two separate waves (the wave is typically made of many photons and better referred to as a wave front (not to be confused with the wave properties of the individual photon)) that later combine into a single wave.
- Changes in the path-lengths of both waves result in a phase shift, creating an interference pattern.
- A coherent light source, such as a laser beam, illuminates a plate pierced by two parallel slits, and the light passing through the slits is observed on a screen behind the plate.
- The wave nature of light causes the light waves passing through the two slits to interfere, producing bright and dark bands on the screen – a result that would not be expected if light consisted of classical particles. However, the light is always found to be absorbed at the screen at discrete points, as individual particles (not waves); the interference pattern appears via the varying density of these particle hits on the screen.
- Furthermore, versions of the experiment that include detectors at the slits find that each detected photon passes through one slit (as would a classical particle), and not through both slits (as would a wave).
- However, such experiments demonstrate that particles do not form the interference pattern if one detects which slit they pass through. These results demonstrate the principle of wave-particle duality.
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Using the idea of work done under gravity, the height of the building is 187 m.
<h3>Work done in a gravitational field</h3>
We must recall that the work done in a gravitational field is given by; mgh
m= mass
g = acceleration due to gravity
h = height
mass = 60.0 kg
Workdone = 1.15x10^5 J
W = mgh
h = W/mg
h = 1.15x10^5 J/60.0 kg * 9.8 ms-2
h = 187 m
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