Relativistic Mass Practice Sheet Alt Question 1 Person A is sitting on a train that is moving at 80 km/h. Person B is standing next to the train tracks. The following formula can be used to calculate how much extra mass person A appears to have, as perceived by person B: extramass=m-m=(1-1)m. If person A has a rest mass, m, of 80 kg, how much extra mass are they perceived to have by person B? Knowing that the extra mass will have a nonzero value, answer in scientific notation to two decimal places. mrest us muc 4mo us 80Kg . A3.29x10 kg . B2.19x10 kg 80. 000 0 672 x80kg . C6.93x10 kg 6 . 75 *0 Oxtre D6.91x10 kg reg camis 00, E8.00x10 kg Forty lenosb ow Question 2 The graph shows relativistic mass, m, against rest mass, m, for objects moving at speed u relative to an observer. What is the value of u?Give your answer as a multiple of c. Wri MREL = ymc A0. Ic . BO.9c . CO.8c DO.5c 7 8 mo . EO.6c mo Question 3 What is the mass, as measured by an observer, of a metal sphere that has a rest mass of 2.00 kg and is moving at 0.999c relative to the observer? Give your answer to two decimal places. Question 4 A space probe has a mass of 700.00 kg in its rest frame. The space probe is moving away from Earth at a speed of 0.05c. What is the mass of the space probe in the rest frame of Earth? Give your answer to two decimal places. 10ocm 100 cm y 11. 549 10 09mm I m 3 100 09 I m cox cm xemQuestion 5 A spaceship moving away from Earth at a speed of 0.6c has a mass of 250,000 kg in the rest frame of Earth. What is the mass of the spaceship in its rest frame? Question 6 At how many meters per second slower than the speed of light would an object have to move in order to have a relativistic mass 10,000 times greater than its rest mass? Give your answer to the nearest two decimal places. Question 7 What would the mass of an object that has a rest mass of 4 kg be if it were moving at the speed of light? . A40 kg BInfinite C4 kg . DO kg E4,000,000 kgCtr Question 8 How fast must an object be traveling in a given reference frame for its mass in that reference frame places to be three times its rest mass? Give your answer as a multiple of the speed of light to three decimal A0.992c . BO.326c . CO.943c . DO.741c E0.889c Question 9 A kaon in a particle accelerator is observed to have a mass of 823/cMeV.The kaon moves at 0.8c along the accelerator. What is the rest mass of the kaon? Give your answer to the nearest mega-electron volt per speed of light squared /cMeV. A503/cMe V B1,370/cMeV C494/cMeV . D825/cMeV E563/cMeV Question 10 A muon produced in a cosmic-ray shower has a speed of 0.2c relative to a particle detector on Earth. A muon has a mass of 106/cMeV in its rest frame. What is the mass of the muon in the rest frame of the particle detector? Give your answer to the nearest mega-electron volt per speed of light squared (MeV/c). A102/cMeV . B103/cMeV . C108/cMeV . D116/cMeV E106/cMe V