Answered: Using Newton's second law in its… | bartleby

Related questions

Question

Using Newton's second law in its relativistic form
and the kinematics equations of classical
mechanics, calculate the speed that an electron
would reach initially at rest, if a constant force of 1
Newton were applied to it for a time equal to 1
nanosecond. How does this speed compare to the
speed of light in empty space?

Expert Solution

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

A driver is sentenced in court for crossing an intersection in red light. For his defense, the driver claims that due to the relativistic Doppler effect he saw the traffic light as green color. Color of light depends on the light wavelength (wavelength of a wave is equal to the speed of the wave times the period). The wavelength of red light is 700 nm and the wavelength of green light is 500 nm. How fast the driver should have travelled to see red color as green color? Give answer in units of speed of light. 0.32 X
Doppler Effect: This problem looks at wavelength shifts instead of frequency shifts. In this problem, AX is defined as the difference between the wavelength in the observer's frame and the source frame, and you can pick 2 to be equal to the wavelength in the source frame. a. Show that, for speeds u<
dx 4x 3. In so-called "natural units" (which is just a sneaky way to let us ignore a bunch of constants), the relativistic kinetic energy of a rigid body is given by the formula 1 КЕ — т V1 – v2 where m is the rest mass of the body and v is its relative speed. Alien scientists on a space station are observing an object falling into a black hole. As the object falls, it is disintegrating, losing mass at a rate of 3 (so its mass is changing at a rate of -3). How fast is the kinetic energy of the main part of the object changing when its mass is 20, its velocity is .7, and it is accelerating at a rate of .1 (remember that acceleration is the derivative of velocity with respect to time: a = dt 1Note that this formula does not make sense when v > 1. That is because in natural units, a speed of 1 corresponds to the speed of light, and nothing with positive rest mass can go that fast.
Compute the kinetic energy of a proton (mass 1.67 x 10-27 kg) using both the nonrelativis- tic and relativistic expressions (a) 8.0 x 107 m/s and (b) 2.858 m/s
Consider a proton that has a momentum of 1.00 kg·m/s. Part (a) Calculate the relativistic parameter γ for the proton. You will have to use a 2.998 × 108 for the speed of light to get this answer correct. Part (b) What is its speed, in meters per second? Such protons form a rare component of cosmic radiation with uncertain origins.
A rocket goes from 0 m/s to 40 meters per second squared in 8 s. A) after 41s, what is it's final speed in m/s? B) What length of time has passed for the rocket to reach a speed of 7100 m/s?
A star is 12.2 ly (light-years) from Earth. HINT (a) At what constant speed (in m/s) must a spacecraft travel on its journey to the star so that the Earth–star distance measured by an astronaut onboard the spacecraft is 4.36 ly? m/s (b) What is the journey's travel time in years as measured by a person on Earth? NO SCIENTIFIC NOTATION ANSWERS THANK YOU
A particle has a rest mass of 6.15 x 10-27 kg and a momentum of 4.24 x 10-18 kg-m/s. Determine the total relativistic energy E of the particle. J E = Find the ratio of the particle's relativistic kinetic energy K to its rest energy Erest- K Erest
Astrophysics 14 Use Newton's second law, F = dp/dt, and the formula for relativistic momentum, Eq. ( 44), to show that the acceleration vector a = dv/dt produced by a force F acting on a particle of mass m is F (F. v), ymc² Ym where F· v is the vector dot product between the force F and the particle velocity v. Thus the acceleration depends on the particle's velocity and is not in general in the same direction as the force. mv p = /1 – v²/c² = ymv (44) VI -