Question

Particle X has a speed of 0.760 c and a momentum of 4.87×10-19 kgm/s. 1. What...

Particle X has a speed of 0.760 c and a momentum of 4.87×10-19 kgm/s.

1. What is the mass of the particle?

2. What is the rest energy of the particle?
3. What is the kinetic energy of the particle?
4. What is the total energy of the particle?

Homework Answers

Answer #1

p = m0 v / sqrt ( 1- (v/c)^2)

here v = speed = 0.76 c, p = 4.87*10^(-19) kgm/s

so, 4.87*10^(-19) = (m0 * 0.76 * (10^8))/ sqrt ( 1- (0.76 c/ c)^2)

m0 = 4.87*10^(-19) * sqrt ( 1- (0.76 c/ c)^2) / (0.76 * (10^8))

m0 = 4.15 * (10^-27) Kg is the rest mass.

rest energy = m0 * c^2 = 4.15 * (10^-27) * (3*10^8)^2 = 3.73 * (10^-10) J

Kinetic Energy = (m - m0)c^2 = (m0/sqrt ( 1- (0.76 c/ c)^2) - m0)c^2

KE = (4.15 * (10^-27) / 0.649 - 4.15 * (10^-27))*(3*10^8)^2 = 2.02*10^-10 J

Total Energy = KE + rest energy =   2.02*10^-10 + 3.73 * (10^-10) = 5.75*10^(-10) J

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Particle X has a speed of 0.950 c and a momentum of 1.27×10-18 kgm/s. What is...
Particle X has a speed of 0.950 c and a momentum of 1.27×10-18 kgm/s. What is the mass of the particle? What is the rest energy of the particle? What is the kinetic energy of the particle? What is the total energy of the particle?
A particle has a rest mass of 6.35 × 10 − 27 kg and a momentum...
A particle has a rest mass of 6.35 × 10 − 27 kg and a momentum of 5.73 × 10 − 18 kg ⋅ m/s . Determine the total relativistic energy of the particle. E = J Find the ratio of the particle's relativistic kinetic energy to its rest energy. K E rest =
A particle has rest energy 1872 MeV and mean lifetime 8.2 × 10−11 s. It is...
A particle has rest energy 1872 MeV and mean lifetime 8.2 × 10−11 s. It is created and decays in a particle track detector. It leaves a track 35 mm long. (a) What is the (i) speed of the particle in terms of c? (ii) momentum of the particle? (b) How much energy is needed to produce the particle? (c) Is the particle massless? Justify your answer. (d) Supported by evidence, give your arguments to the beliefs that the (i)...
An alpha particle is a helium nucleus with a mass of 6.68×10−27 kg. Suppose an alpha...
An alpha particle is a helium nucleus with a mass of 6.68×10−27 kg. Suppose an alpha particle moves with a speed of 0.653c. a. Find the magnitude of its momentum. b. What is the total energy of the particle? c. What is its rest energy? d. What is its relativistic kinetic energy? 2. Laboratory experimenters measure the lifetime of a neutron at rest to be 1.80 s. They then measure its lifetime to be 5.13 s when it was moving....
A particle of charge +3.2 x 10^-19 C is released in a uniform electric field with...
A particle of charge +3.2 x 10^-19 C is released in a uniform electric field with a voltage difference of 1 MV (Mega is x 10^6). What is the velocity of the particle after traveling 20m if it started at rest and has a mass of 6.7 x 10^-27 kg? (assume 100% energy transfer) They dud not provide the region of the voltage the only info given was that it is a uniform electric field with a voltage difference of...
4.The kinetic energy and the momentum of a particle deduced from measurements on its track in...
4.The kinetic energy and the momentum of a particle deduced from measurements on its track in nuclear photographic emulsions are 250MeV and 368 MeV/c, respectively. Determine the mass of the particle in terms of electron mass? 5. A particle of rest mass m with kinetic energy 3mc2 makes a completely elastic collision with an identical particle that is at rest, forming a new particle of rest mass M. Determine mass M?
A particle with charge 3.20×10?19 C is placed on the x axis in a region where...
A particle with charge 3.20×10?19 C is placed on the x axis in a region where the electric potential due to other charges increases in the +x direction but does not change in the y or z direction. The particle, initially at rest, is acted upon only by the electric force and moves from point a to point b along the x axis, increasing its kinetic energy by 1.12×10?18 J . In what direction and through what potential difference Vb?Va...
A particle with charge 1.60×10−19 C is placed on the x axis in a region where...
A particle with charge 1.60×10−19 C is placed on the x axis in a region where the electric potential due to other charges increases in the +x direction but does not change in the y or z direction. The particle, initially at rest, is acted upon only by the electric force and moves from point a to point b along the x axis, increasing its kinetic energy by 1.44×10−18 J . In what direction and through what potential difference Vb−Va...
1. Which has the greater kinetic energy, a heavy truck at rest or a moving roller...
1. Which has the greater kinetic energy, a heavy truck at rest or a moving roller skate? a. none of above b. heavy truck at rest c. the roller skate at rest d. The kinetic energies are equal. 2. If a sports car with a mass of 2000 kg travels down the road with a speed of 10 m/s, its kinetic energy is _______________ kg (m/s)2 a. 80000 b. 16000 c. 8000 d. 100000 e.none of above 3. A sports...
a) If the momentum of a nonrelativistic particle is doubled, its kinetic energy increases by a...
a) If the momentum of a nonrelativistic particle is doubled, its kinetic energy increases by a factor of 4. Explain why. If the momentum of a photon is doubled, by what factor does its energy increase b) The theory of relativity sets an upper limit on the speed that a particle can have. Are there also limits on its energy and momentum? Explain c) In what ways do photons resemble other particles such as electrons? Do photons have mass? Can...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT