Answer:
Wavelength = 1.36 * 10^{-34} meters
Explanation:
Given the following data;
Mass = 0.113 kg
Velocity = 43 m/s
To find the wavelength, we would use the De Broglie's wave equation.
Mathematically, it is given by the formula;
![Wavelength = \frac {h}{mv}](https://tex.z-dn.net/?f=%20Wavelength%20%3D%20%5Cfrac%20%7Bh%7D%7Bmv%7D%20)
Where;
h represents Planck’s constant.
m represents the mass of the particle.
v represents the velocity of the particle.
We know that Planck’s constant = 6.6262 * 10^{-34} Js
Substituting into the formula, we have;
![Wavelength = \frac {6.6262 * 10^{-34}}{0.113*43}](https://tex.z-dn.net/?f=%20Wavelength%20%3D%20%5Cfrac%20%7B6.6262%20%2A%2010%5E%7B-34%7D%7D%7B0.113%2A43%7D%20)
![Wavelength = \frac {6.6262 * 10^{-34}}{4.859}](https://tex.z-dn.net/?f=%20Wavelength%20%3D%20%5Cfrac%20%7B6.6262%20%2A%2010%5E%7B-34%7D%7D%7B4.859%7D%20)
Wavelength = 1.36 * 10^{-34} meters
Because the object is still made of the same material
Density is not affected by the weight and shape of an object its affected by how concentrated the atoms are in a given volume
Answer:
37.125 m
Explanation:
Using the equation of motion
s=ut+0.5at^{2} where s is distance, u is initial velocity, t is time and a is acceleration
<u>Distance during acceleration</u>
Acceleration, a=\frac {V_{final}-V_{initial}}{t} where V_{final} is final velocity and V_{initial} is initial velocity.
Substituting 0.0 m/s for initial velocity and 4.5 m/s for final velocity, acceleration will be
a=\frac {4.5 m/s-0 m/s}{4.5 s}=1 m/s^{2}
Then substituting u for 0 m/s, t for 4.5 s and a for 1 m/s^{2} into the equation of motion
s=0*4.5+ 0.5*1*4.5^{2}=0+10.125
=10.125 m
<u>Distance at a constant speed</u>
At a constant speed, there's no acceleration and since speed=distance/time then distance is speed*time
Distance=4.5 m/s*6 s=27 m
<u>Total distance</u>
Total=27+10.125=37.125 m
Answer:
The measured redshift is z =2
Explanation:
Since the object is traveling near light speed, since v/c = 0.8, then we have to use a redshift formula for relativistic speeds.
![z= \sqrt{\cfrac{c+v}{c-v}}-1](https://tex.z-dn.net/?f=z%3D%20%5Csqrt%7B%5Ccfrac%7Bc%2Bv%7D%7Bc-v%7D%7D-1)
Finding the redshift.
We can prepare the formula by dividing by lightspeed inside the square root to both numerator and denominator to get
![z= \sqrt{\cfrac{1+\cfrac vc}{1-\cfrac vc}}-1](https://tex.z-dn.net/?f=z%3D%20%5Csqrt%7B%5Ccfrac%7B1%2B%5Ccfrac%20vc%7D%7B1-%5Ccfrac%20vc%7D%7D-1)
Replacing the given information
![z= \sqrt{\cfrac{1+0.8}{1-0.8}}-1](https://tex.z-dn.net/?f=z%3D%20%5Csqrt%7B%5Ccfrac%7B1%2B0.8%7D%7B1-0.8%7D%7D-1)
![z= \sqrt{\cfrac{1.8}{0.2}}-1\\z= \sqrt{9}}-1\\z=3-1\\z=2](https://tex.z-dn.net/?f=z%3D%20%5Csqrt%7B%5Ccfrac%7B1.8%7D%7B0.2%7D%7D-1%5C%5Cz%3D%20%5Csqrt%7B9%7D%7D-1%5C%5Cz%3D3-1%5C%5Cz%3D2)
Thus the measured redshift is z = 2.
Answer:
40 km/h
Explanation:
First...
Look at the formula speed is equal to the distance over time or s = d/t.
Next...
Use the formula: 240/6.0
Finally...
Solve: 40
So the answer: 40 km/h