1. Two cells that subdivide on Earth every 10.0s start from the Earth on a journey to the Sun (1....
1. Two cells that subdivide on Earth every 10.0s start from the Earth on a journey to the Sun (1.5 x 1011 m away) in a spacecraft moving at 0.850c. How many cells wil exist when the spacecraft crashes into the Sun? Earth time is 588s. Spacecraft time is 310s or 31 cycles of division. 2312.1x 10 cells at the end of the journey. 2. As a spacecraft moving at 0.92c travels past an observer on Earth, the Earthbound observer and the occupants of the craft each start identical alarm clocks that are set to ring after 6.0 h have passed. According to the Earthling, what does the Earth clock read when the spacecraft clock rings? Spacecraft's 6.0h is a proper time, so Earth's clock's will read a longer time, stretched by y to 15h. 3. A spacecraft moving at 0.95c travels from the Earth to the star Alpha Centauri, which is 4.5 light years away. How long will the trip take according to (a) Earth clocks and (b) spacecraft clocks? (c) How far is it from Earth to the star according to spacecraft occupants? (d) What do they compute their speed to be? (a) 1.5 x 108 s (b) 4.7 x 107 s (c) 1.3 x 1016 m (d) 2.8 x 108 m/s
1. Two cells that subdivide on Earth every 10.0s start from the Earth on a journey to the Sun (1.5 x 1011 m away) in a spacecraft moving at 0.850c. How many cells wil exist when the spacecraft crashes into the Sun? Earth time is 588s. Spacecraft time is 310s or 31 cycles of division. 2312.1x 10 cells at the end of the journey. 2. As a spacecraft moving at 0.92c travels past an observer on Earth, the Earthbound observer and the occupants of the craft each start identical alarm clocks that are set to ring after 6.0 h have passed. According to the Earthling, what does the Earth clock read when the spacecraft clock rings? Spacecraft's 6.0h is a proper time, so Earth's clock's will read a longer time, stretched by y to 15h. 3. A spacecraft moving at 0.95c travels from the Earth to the star Alpha Centauri, which is 4.5 light years away. How long will the trip take according to (a) Earth clocks and (b) spacecraft clocks? (c) How far is it from Earth to the star according to spacecraft occupants? (d) What do they compute their speed to be? (a) 1.5 x 108 s (b) 4.7 x 107 s (c) 1.3 x 1016 m (d) 2.8 x 108 m/s