You take a trip to a star located 1,000 light-years away and return. you travel at an average speed of 0.99c. hint: the time dilation formula is: t′=t1−(vc)2−−−−−−−−√. about how many years will pass on earth while you are gone?

Asolid cylinder and a cylindrical shell have the same mass, same radius, and turn on frictionless, horizontal axles. the cylindrical shell has light-weight spokes connecting the shell to the axle. a rope is wrapped around each cylinder and tied to blocks of equal masses that are held the same height above the ground. both blocks are released simultaneously. the ropes do not slip. which block hits the ground first? or is it a tie?