1- there is a ball at rest in your reference frame with mass M. a second ball also with rest mass M is moving with speed v. the two balls collide, stick together, and continue on. keep inmind that the combined mass after the collision will not be 2M.

a. write equation for conservation of relativistic momentum in terms of initial and final speeds (initial momentum=final momentum)

b. write equation for conservation of relativistic energy in terms of initial and final speeds

c. use (a) and (b) to findthe final speed of the two balls

d. from (c) find the approximate final speed in the limit of v<<c

e. from (c) find the approximate final speed in the limit of v~c

2- 1kg water has a heat capacity of 4180 joules per degree celcius. determine the mass increase of the water when it's heated above freezing (0 deg.Celcius) to just below boiling (100 deg.Celcius). What's the percentage change of mass?

3- F=dp/dt, where p is momentum (relativistic)

a. prove that if we apply constant force F to a mass M which starts at rest at t=0, we get p=tF

b. use p=tF to solve for speed of the mass with repect to time, v(t). Also, show that your answer reduces to the classical answer when v<<c

c. show that v(infinity)=c for any force except F=0

Subject | Science |

Due By (Pacific Time) | 09/01/2015 10:00 pm |

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