Special relativity lorentz Due to the rotation of the earth the speed of a point in the equator is 460 m/s with respect to a point in the north pole. According to the effect of time dilation in relativity, why do the clock rhythms differ if one is in the equator and the other at the north pole? after a year, for how many seconds do the clocks differ?

1. An observer on earth sees objects A and B traveling toward the earth each with a speed v but from different directions. Draw the shape of each object as measured by someone traveling with that object, eg. how would objects A look according to someone on A. Earth

* Sophie and Frieda are twins. They plan a trip to planet X which is 54 light years from Earth. They both leave Earth on their 30th birthday, but on different spacecraft. Sophie takes a spacecraft that travels at .99c, and Frieda takes a spacecraft that travels at .95c. As soon as Frieda arrives she is met at the terminal by Sophie (who was waiting there for her since she had arrived!). What are each of their biological ages (to the nearest 0.1 year) at this meeting? Earth and planet X are in the same (stationary) frame of reference here. A light year is 9.47x1015 m (but using meters will be awkward here)

9. An astronomer on earth observes two spacecraft moving away from each other along an axis that passes through the earth. The astronomer measures the speed of each spacecraft to be 0.875c relative to the earth. At what speed are the spacecrafts moving apart relative to each other? a) 0.496c b) 0.467c c) 1.750c d) 0.143c e) 0.991c 10. How far apart must two objects on the moon be to be resolved by a telescope which has a 7.80-m diameter mirror? The wavelength of the light used is A610 nm, and the distance to the moon to be 3.80 x 105 km. a) 24.4 m b) 29.7 m c) 36.3 m d) 72.5 m e) 12.2 m 11. A converging lens with a focal length of (f₁ = 32.0 cm) is placed 42.0 cm to the left of a diverging lens with a focal length of (f2 = -25.5 cm). An object is placed 40.0 cm to the left of the converging lens. What is the location of the image produced by the combination of lenses? a) 32.5 cm to the right of the diverging lens b) 32.5 cm to the left of the diverging lens c) 160 cm to the left of the…

Incorrect Question 1 1/10 pts Eitan, Haley and Anthony are working at a particle accelerator facility. In one experiment, they observe that particles A and B collide head on at relativistic speeds. If the velocity of A is 0.764c to the left, and the velocity of B is 0.324c to the right (both of these speeds are measured in Earth's rest frame), how fast are the particles moving with respect to each other? 1,088