Suppose that two identical particles with rest mass m and non-zero velocities vand -v respectively in the Lab frame collide to form a single particle with rest mass M. Which one of the following statements is correct? Select one: O a. None of the other answers is correct. O b. Mis equal to the sum of the rest masses of the original particles. O C. Mis less than the sum of the original rest masses. O d. Mis greater than the sum of the original rest masses.

To make the numbers simple we will regard the travelling twin as travelling at 0.866c during the trip (=2) to a planet 10.4 light-years away (this distance was chosen so that the trip time to destination = 12 years in earth frame). The total trip as measured in the earth frame is 24 years. Using the following information above, resolve the question on who is really younger by: a. Applying length contraction, time dilation and relativity of simultaneity.

1. If the velocity of your spaceship goes from 0.3c to 0.6c, then your mass will increase bya. 19%b. 38%c. 74%d. 100%e. 200%

Which of the following statements are IMPOSSIBLE? Choose all that apply. The rocket's speed was measured to be 1.02c. ASK YOUR TEACH The rocket's rest length is 847 m. An observer flying by measured the rocket to be 173 m long. A rocket flying by the Sun at 0.48c measured the speed of the photons (particles of light) emitted by the Sun to be 0.79c. An inertial reference frame had an acceleration of 0 m/s². The proper time interval between two events was measured to be 296 s. The time interval between the same two events (as measured by an observer not in the proper frame) was 370

9. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 5.50 relativistic momentum? t kg.m/s 60 ssf60 s ssf60 ssfot 09588 098 10-11 J. What is their ssf60 ssfo 093

Three polarizing sheets are placed in a stack with the polarizing directions of the first and third perpendicular to each other. What angle should the polarizing direction of the middle sheet make with the polarizing direction of the first sheet to obtain maximum transmitted intensity when unpolarized light is incident on the stack? 0° 15° 30° 45° 60° 75° 90°

Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 49.0%49.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 3.30 mm3.30 mm away from the Earth? The density of water is ?water=1.00kg/literρwater=1.00kg/liter, the Earth's mass is ?earth=5.97×1024 kgMearth=5.97×1024 kg, the Moon's mass is ?moon=7.36×1022 kgMmoon=7.36×1022 kg, and the separation of the Earth and Moon is ?E,M=3.84×108 mdE,M=3.84×108 m.

measured by this observer to be 10 times longer than its lifetime when at rest relative to the observer? 3. The lifetime of a free neutron is 886 s. If a neutron moves with a speed of 2.9 x 108m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be? 4. A computer in a laboratory requires 2.50 us to make a certain calcu- lation, as measured by a scientist in the lab. To someone moving past the lab at a relative speed of 0.995c, how long will the same cal- culation take? 5. The formula for length contraction gives the length of an interval on a ruler moving with velocity v relative to an observer as V1-v²/c² times the length of the same interval on a ruler at rest with respect to the observer. By what fraction is the length of a meter stick reduced if its velocity relative to you is measured to be 95 percent the speed of light? 6. If an electron is speeding down the two-mile-long Stanford Linear Accelerator at 99.98 percent the speed of light,…

1) A 5-kg particle's momentum is (211, 329) kg*m/s.  Calculate its kinetic energy. 2)Calculate the x-component of vSJ. vS = 6 km/s vJ = 9 km/s θ = 23o 3) In Jupiter's frame, the incoming spacecraft is moving rightward and upward, at 45o.  The outgoing spacecraft, having already flown by, is going at the same relative speed, but leftward and upward, also at 45o.  (See the figures.)  You are going to transform back to the sun's frame and calculate the final outgoing speed.  You need to follow several steps: Calculate the vector components of the outgoing vSJ. Add Jupiter's vector velocity to get the outgoing vS. Finally calculate the outgoing speed, vS = |vS| in km/s.  Enter that as the final answer. use these parameters:  vSJ = 4 km/s vJ = 8 km/s

The space and time coordinates for two events as measured in a frame S are as follows: Event 1: x1=x0 , t1=x0/c Event 2: x2=2x0, t2=x0/2c a. There exists a frame in which these events occur at the same time. Find the velocity of this frame with respect to S. b. What is the value of t at which both events occur in the new frame?