Choose the option that completes this sentence accurately: An object of mass m, and with velocity v, is moving in space. Another object of mass m and with velocity perpendicular to the first has O The same kinetic energy. Four times the kinetic energy. O Twice the kinetic energy. O Cannot be determined.

Choose the option that completes this sentence accurately: An object of mass m, and with velocity v, is moving in space. Another object of mass m and with velocity perpendicular to the first has O The same kinetic energy. Four times the kinetic energy. O Twice the kinetic energy. O Cannot be determined.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter28: Special Relativity

Section: Chapter Questions

Problem 51PE: A muon has a rest mass energy of 105.7 MeV, and it decays into an electron and a massless particle....

See similar textbooks

Similar questions

One particle has mass mand a second particle has mass 2m . The second particle is moving with speed vand the first with speed 2v . How do their kinetic energies compare?
A neutron lives 900 s when at rest relative to a observer. How fast is the neutron moving relative to a observer who measures its life span to be 2065 s?
(a) Show that that at large velocities This means that at large velocities(b) Is when as for the astronaut discussed in the twin paradox?
According to special relativity, a particle of rest mass m0 accelerated in one dimension by a force F obeys the equation of motion dp/dt = F. Here p = m0v/(1 –v2/c2)1/2 is the relativistic momentum, which reduces to m0v for v2/c2 << 1. (a) For the case of constant F and initial conditions x(0) = 0 = v(0), find x(t) and v(t). (b) Sketch your result for v(t). (c) Suppose that F/m0 = 10 m/s2 ( ≈ g on Earth). How much time is required for the particle to reach half the speed of light and of 99% the speed of light?
(a) What is the momentum of a 2000 kg satellite orbiting at 4.00 km/s? (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that =1+(1/2)v2/c2 at low velocities.)
Alpha decay is nuclear decay in which a helium nucleus is emitted. If the helium nucleus has a mass of 6.80×10-27kg and is given 5.00 Me V of kinetic energy, what is its velocity?
A muon has a rest mass energy of 105.7 MeV, and it decays into an electron and a massless particle. (a) If all the lost mass is converted into the electron's kinetic energy, find for the electron. (b) What is the electron's velocity?
A rod of length L0 moving with a speed v along the horizontal direction makes an angle 0 with respect to the x axis. (a) Show that the length of the rod as measured by a stationary observer is L = L0[1 (v2/c2)cos2 0]1/2. (b) Show that the angle that the rod makes with the x axis is given by tan = tan 0. These results show that the rod is both contracted and rotated. (Take the lower end of the rod to be at the origin of the primed coordinate system.)
(a) A nuclear power plant converts energy from nuclear fission into electricity with an efficiency of 35.0%. How much mass is destroyed in one year to produce a continuous 1000 MW of electric power? (b) Do you think it would be possible to observe this mass loss if the total mass of the fuel is 104 kg?
The Sun produces energy at a rate of 4.001026 W by the fusion of hydrogen. (a) How many kilograms of hydrogen undergo fusion each second? (b) If the Sun is 90.0% hydrogen and half of this can undergo fusion before the Sun changes character, how long could it produce energy at its current rate? (c) How many kilograms of mass is the Sun losing per second? (d) What fraction of its mass will it have lost in the time found in part (b)?
Choose the option that completes this sentence accurately: An object of mass m, and with velocity v, is moving in space. Another object of mass m and with velocity 2 v has O Four times the kinetic energy. O Two times the kinetic energy. O The same kinetic energy. O Cannot be determined.
UP Sending spaceships to the outer regions of the solar system requires large energies. The slingshot effect is a frequently used method for speeding up spaceships without using much rocket fuel. To use this effect, the spaceship is diverted to pass around one of the inner planets (such as Venus). If the spaceship is sent in the right direction, it will reach to greater speeds after it passes around the planet. You will see the effect at play in this question. A spaceship is sent with an initial velocity of is = (30 - j – 20 - î) km/s towards a planet. The planet is moving with velocity úp = 20i km/s. After the encounter with the planet, the spaceship emerges to be moving along the +r direction (with a final velocity of the form is = vgi). Find the final speed of the spaceship in units of km/s. = 40 km/s. 40 Incorrect answer. Hint 1: This is an elastic "collision". When you hear the word collision, you usually imagine something that happens quickly; in contrast this collision happens…