Question 1: Reflection To the right is an image of a ray of light that is traveling down a hall with mirrors on either side. The hall is 7.5 m long and 0.14 m wide, and if the angle that the laser is pointed at is 42, how many times will the beam reflect before exiting the hall? Question 2: Speed of Light (a) The sun is currently, as of September 2022, about 93.755 million miles away. If the speed of light is taken to be 3.00 how long would it take for us to notice that the sun has gone out? Perform any necessary unit conversions by hand. (b) You should remember that the escape velocity from the surface of an object is given by: Vesc= 2GM 7.50 m 42 1.40 m Where v is the velocity of the escaping object, G is the universal gravitation constant, M is the mass of the object that is being escaped, and r is the radius of the object being escaped. If a blackhole is characterized by the fact that not even light can escape its event horizon (essentially the radius of the black hole), how large is the event horizon of a blackhole that has a mass of 2 x 1030 kg according to the above equation? 1 point extra credit if you can provide a complete derivation of the escape velocity equation starting from newton's universal law of gravitation and the conservation of energy.