1. Suppose we accelerate a proton so that its kinetic energy is equal to its mass energy. What is the speed of such a proton? NOTE: you do not have to know the mass of the proton to do this problem: it would be the same for any particle.

2. Spaceman Spiff passes the earth on his way to Mars. His thruster control is stuck and his spacecraft is traveling at a speed 0.95c. (That is, 95% the speed of light.) The distance from the earth to Mars at that time is 1.2 x 10^11 m.
(A) How long (as observed by someone on the earth) will it take Spiff to travel from the earth to Mars? (B) How much time will Spiff measure for his trip from the earth to Mars? (In his own frame, Spiff is at rest, so this may be considered the time for Mars to reach Spiff.) (C) What is the distance Spiff measures for the distance from the earth to Mars? (D) Suppose Spiff's spacecraft has some mass M. In terms of the rest mass energy, Mc^2, how much work had to be done on Spiff's spacecraft to accelerate it to 0.95c? (By the work-energy principle, this is equal to the craft's kinetic energy.) (E) Suppose Spiff has a very light spacecraft, with a mass of only 1000 kg. What is the work done to accelerate it up to speed, expressed in joules? Compare this to the yearly energy consumption of the United States, about 10^20 J. ( Answers: 421 s, 131 s, 3.7 x 10^(10) m, 2.20mc^2, 2.0 x 10^(20) J.)

3. Two clocks, "A" and "B", are synchronized in their own reference frame. A third clock, "C", is traveling very fast to the left, as shown in the diagram. When "C" passes "B", the clocks display exactly the same time reading.
(a) When "C" passes "A", which clock will be ahead of the other?
(b) As we stated above, clocks "A" and "B" are synchronized in their own reference frame. Are they synchronized according to clock "C"? That is, in clock "C"'s frame, clocks "A" and "B" are moving to the right. Does "C" observe the two clocks to have the same reading? Explain clearly. (Hint: just changing frames cannot change "events". When "C" and "B" pass, they will show the same time reading no matter whose frame you are in. Similarly, if "A" is ahead of "C" in one frame when they pass, it will also be ahead of "C" in any other frame when the two clocks pass.)

Solution Summary

This solution involves step-by-step calculations and explanations for solving various physics problems that include the concepts of proton acceleration, speed, and travelling clocks.

Two protons are released from the res when they are 0.8nm apart.
1. What is the maximum speed they will reach?
2. When does this speed occur?
3. What is the maximum acceleration they will achieve?
4. When does this acceleration occur?

See the attached file.
The sun is powered mostly by the fusion of two protons into the following particles:
H^1+ H^1→ H^2+e+ ν
Classically for this reaction to happen, the protons must come close enough to each other to "touch". Assume the proton is a uniformly charged, solid sphere of radius rp = 1.5 x 10-18m and tha

Protons exit a high speed proton machine at a speed of 1.50 * 10^6 m/s. A device needs to stop the protons safely.
Protons will embed themselves in a metal target, but protons traveling faster than 1.30 * 10^5 m/s emit dangerous x rays when they hit. The protons must be slowed down to an acceptable speed, then let them hit a

I need some help in determining the number of protons and the number of neutrons in the nucleus of the following atoms and the number of electrons in their first and quantum shells:
10/5B 14/6C 3/2He 40/19K 16/8O

The operator of a linear particle accelerator tells a tour group that it is used to give protons an energy of 600MeV.
a) this 600MeV must refer to the protons total, kinetic, or rest energy? Why?
b) what are the values of these three proton energies?
c) what is the protons speed?
d) what is the protons moment

A 5.0 x 104 kg space probe is traveling at a speed of 11000 m/s through deep space. Retrorockets are fired along the line of motion to reduce the probe/s speed. The retrorockets generate a force of 4.0 x 10^5 N over a distance of 2500 km. What is the final speed of the probe?

1. A wooden archeological artifact is reported to be 2000 years old on the basis of carbon-14 dating. What is the fraction of carbon-14 found in the specimen to that found in new wood? The half-life of carbon-14 is 5700 years.
a. 1.0
b. 0.0
c. 0.784
d. 0.627
2. How many protons and how many neutrons

1. A small but measurable current of 1.2X10^-10 A exists in a copper wire whose diameter is 2.5mm. The number of charge carriers per unit volume is 8.49X10^28 m^-3. Assuming the current is uniform, calculate the (a) current density and (b) electron drift speed.
2. Near Earth, the density of protons is the solar wind (a stream

Sodium (Na), atomic number 11, has a tendency to lose an electron in the presence of chlorine. After losing the electron, how many protons will Na have in its nucleus?