Part 1 out of 2
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The momentum of a proton would be:
(a) For particle moving with speed 0.010c
p = 5.016 × 10^(-21) kgms^{-1}
p = 9.398 MeV/c
(b) For particle moving with speed 0.50c
p = 2.89 × 10^(-19) kgms^{-1}
p = 541.5 MeV/c
(c) For particle moving with speed 0.90c
p = 23.73 × 10^(-19) kgms^{-1}
p = 4446.35 MeV/c
For given question,
We need to calculate the momentum of a proton moving with a given speed.
We know that, the equation for relativistic momentum is,
We know, the mass of proton (m) = kg
(a) For particle moving with speed 0.010c
v = 0.010c
the momentum of a proton would be,
(b) For particle moving with speed 0.50c
v = 0.50c
the momentum of a proton would be,
(c) For particle moving with speed 0.90c
v = 0.90c
the momentum of a proton would be,
Now, we need to convert answers into MeV/c
1 MeV = 1.6 × 10^(-13) kg.m²/s²
⇒ 1 kg.m²/s² = 625 × 10^(10) MeV
1 c = 299,792,458 m/s
⇒ 1 m/s = 3.3356E-9 c
So, 1 kg. m/s = 1.8737259e+21 MeV/c
(a) For p = 5.016 × 10^(-21) kgms^{-1}
⇒ p = 5.016 × 10^(-21) × 1.8737259e+21
⇒ p = 9.398 MeV/c
(b) For p = 2.89 × 10^(-19) kgms^{-1}
⇒ p = 2.89 × 10^(-19) × 1.8737259e+21
⇒ p = 541.5 MeV/c
(c) For p = 23.73 × 10^(-19) kgms^{-1}
⇒ p = 23.73 × 10^(-19) × 1.8737259e+21
⇒ p = 4446.35 MeV/c
Therefore, the momentum of a proton would be:
(a) For particle moving with speed 0.010c
p = 5.016 × 10^(-21) kgms^{-1}
p = 9.398 MeV/c
(b) For particle moving with speed 0.50c
p = 2.89 × 10^(-19) kgms^{-1}
p = 541.5 MeV/c
(c) For particle moving with speed 0.90c
p = 23.73 × 10^(-19) kgms^{-1}
p = 4446.35 MeV/c
Learn more about the momentum here:
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Answer:
2. "two thirds of the fourth power of <em>r</em>"
4. n + 14
6. 7 +11n
8. (2/5)n^2
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7. 28
8. 1/5
Step-by-step explanation:
2. "two thirds of the fourth power of <em>r</em>"
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4. "sum" means the listed items are added. You can use any convenient variable to represent "a number." I often use <em>n</em> for <em>n</em><em>umber</em>.
n + 14
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6. "7 more than" means 7 is added to whatever follows. "11 times a number" means the number is multiplied by 11.
7 + 11n
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8. "of" means "times". The square of a number is that number to the power of 2.
(2/5)n^2
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7 & 8 (evaluation). Your calculator can do this. (If not, get one that can.) Note that parentheses are needed around numerators and denominators and anything else that must be treated as a single value.
