Question

In: Physics

If a proton can be accelerated to 99.99% of the speed of light, what is the...

If a proton can be accelerated to 99.99% of the speed of light, what is the classical momentum and relativistic momentum? The mass of a proton is 1.67X10-27kg. 10 pts

Expert Solution

Mass of a proton,

Speed of the proton,

Speed of light in vacuum

So, classical momentum of the proton,

Relativistic momentum of the proton,

genius_generous answered 3 years ago

Some forms of cancer can be treated using proton therapy in which proton beams are accelerated to high energies,

Some forms of cancer can be treated using proton therapy in which proton beams are accelerated to high energies, then directed to collide into a tumor, killing the malignant cells. Suppose a proton accelerator is 4.0 m long and must accelerate protons from rest to a speed of 1.0 × 107 m/s. Ignore any relativistic effects (Chapter 26) and determine the magnitude of the average electric field that could accelerate these protons.

(a) At what speed (in m/s) will a proton move in a circular path of the...

(a) At what speed (in m/s) will a proton move in a circular path of the same radius as an electron that travels at 8.00 ✕ 106 m/s perpendicular to the Earth's magnetic field at an altitude where the field strength is 1.15 ✕ 10−5 T? m/s (b) What would the radius (in m) of the path be if the proton had the same speed as the electron? m (c) What would the radius (in m) be if the proton...

A proton is accelerated for a period of 1/20 second in the direction of its initial...

A proton is accelerated for a period of 1/20 second in the direction of its initial motion by an electric field of 2 mV/m. At the end of this period it leaves the electric field and enters a 2.05 mT magnetic field which is perpendicular to its direction of motion. If the proton follows a circular path in the magnetic field with 15 cm radius, calculate the protons original speed just before it entered the electric field. (mp = 1.67x10-27...

An electron and a proton are each accelerated starting from rest through a potential difference of...

An electron and a proton are each accelerated starting from rest through a potential difference of 10 million volts. Find the momentum (in MeV/c) and the kinetic energy (in MeV) of each, and compare with the results of using the classical formulas.

3. A proton is accelerated in a Van de Graff through a potential difference of 4...

3. A proton is accelerated in a Van de Graff through a potential difference of 4 million Volts. a. What is its its total energy after acceleration? b. What is the magnitude of its final momentum? c. What is its velocity?

An electron and a proton, starting from rest, are accelerated through an electric potential difference of...

An electron and a proton, starting from rest, are accelerated through an electric potential difference of the same magnitude. In the process, the electron acquires a speed ve, while the proton acquires a speed vp. Find the ratio ve/vp.

A projectile proton with a speed of 380 m/s collides elastically with a target proton initially...

A projectile proton with a speed of 380 m/s collides elastically with a target proton initially at rest. The two protons then move along perpendicular paths, with the projectile path at 41° from the original direction. After the collision, what are the speeds of (a) the target proton and (b) the projectile proton? Please try to explain it as well as you can thank you

The speed of light 3 × 108 m / s, can be expressed in terms of...

The speed of light 3 × 108 m / s, can be expressed in terms of other fundamental constants relating to electricity and magnetism. Give this algebraic expression and briefly explain where it comes from.

1. What is refraction and what is the speed of light? What is their relationship? 2....

1. What is refraction and what is the speed of light? What is their relationship? 2. What is the snell number and what does it mean?

A proton and a singly charged ion of mass 91 atomic mass units (amu) are accelerated...

A proton and a singly charged ion of mass 91 atomic mass units (amu) are accelerated through the same potential difference and enter a region of uniform magnetic field moving perpendicular to the magnetic field. What is the ratio of their kinetic energies? If the radius of the proton's circular path in the magnetic field is 16.8 cm , what is the radius of the path of the singly charged ion of 91 amu? By what factor must the magnetic field be...