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mylen [45]
3 years ago
6

A subatomic particle X spontaneously decays into two particles, A and B, each of rest energy 1.40 × 10^2 MeV. The particles fly

off in opposite directions, each with speed 0.827c relative to an inertial reference frame S. What is the total energy of particle A?
Physics
1 answer:
adoni [48]3 years ago
6 0

Answer:

E = 389 MeV

Explanation:

The total energy of particle A, will be equal to the sum of rest mass energy and relative energy of particle A. Therefore,

Total Energy of A = E = Rest Mass Energy + Relative Energy

Using Einstein's Equation: E = mc²

E = m₀c² + mc²

From Einstein's Special Theory of Relativity, we know that:

m = m₀/[√(1-v²/c²)]

Therefore,

E = m₀c² + m₀c²/[√(1-v²/c²)]

E = m₀c²[1 + 1/√(1-v²/c²)]

where,

m₀c² = rest mass energy = 140 MeV

v = relative speed = 0.827 c

Therefore,

E = (140 MeV)[1 + 1/√(1 - (0.827c)²/c²)]

E = (140 MeV)(2.78)

<u>E = 389 MeV</u>

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3 0
3 years ago
Consider a copper wire with a diameter of 0.450 mm. If you want to cut a piece of the wire so it has a resistance of 3.25 Ω, how
Arisa [49]

Answer:

30.7m

Explanation:

You can use the following equation:

ρ = R * \frac{S}{l}

Where ρ is the resistivity, R is the resistance, S is the Cross-sectional Area and l is the length of the wire.

We issolate l in the equation and solve with the data we have:

l = R * \frac{S}{p} = 3.25 Ω * \frac{0.25 *\pi * ((0.45/1000)^2}{1.68*10^-8}

l =  30.7m

5 0
3 years ago
For a given force as time ___
myrzilka [38]

Answer:

Increases

Explanation:

For a given force, as the time increases, the impulse related to that force increases also.

Impulse and time are directly related to one another. Impulse is mathematically given as:

           I  = F t

I is the impulse

F is the force

t is the time taken

So, as both force and time increases, the value of the impulse must increase.

8 0
3 years ago
What kind of lens curve inward toward its center​
Lubov Fominskaja [6]

Answer:

A concave lens is exactly the opposite with the outer surfaces curving inward, so it makes parallel light rays curve outward or diverge. That's why concave lenses are sometimes called diverging lenses.

7 0
3 years ago
Read 2 more answers
A 13.0 μF capacitor is connected to a power supply that keeps a constant potential difference of 24.0 VV across the plates. A pi
horsena [70]

Answer:

Energy stored in the capacitor before the dielectric was inserted=

3.744×10-3 J

Energy stored in the capacitor after the dielectric was inserted=

14.0×10-3 J

Change in energy due to dielectric

10.3×10-3 J or 10mJ

The energy stored in the capacitor increased due to the insertion of the dielectric material.

Explanation:

The energy stored in the capacitor is calculated from the formula

U= 1/2CV^2

Where:

U=energy stored in the capacitor

C=capacitance of the capacitor

V= voltage.

The energy stored in the capacitor before the insertion of the dielectric is shown as U while the energy stored in the capacitor after the insertion of the dielectric is designated U'.

Since U'>U from the solution attached, the change in energy due to insertion of the dielectric ∆U= U'-U

Hence the answer shown. See attached image for detailed solution.

8 0
3 years ago
Read 2 more answers
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