PHY 1120 Homework 11 Special Theory of Relativity 1. At what speed v will the length of a 1.0 m stick look 8% shorter (e.g, 92 cm)? A box at rest has the shape of a cube 2.8 m on a side. This box is loaded onto the flat floor of a spaceship and oriented so some edges are parallel to the direction the ship will travel. The ship then flies past us with a horizontal speed of 0.85 c. What is the volume of the box as we observe it fly past? (Hint: length contraction is only in the direction of travel.) What is the momentum of a proton travelling at v=0.75 c? Mass of a proton is 1.6726 x 10-*\" kg. A certain chemical reaction requires 4.6 x 10* J of energy input for it to occur. What is the increase in mass of the products over the reactants if all the input energy is transformed into mass? How much energy (in J) can be obtained from conversion of 0.5 g of mass? How much mass (in kg) could this energy raise to a height of 1.0 km above the earth's surface