College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 26, Problem 35P
To determine
Show that
E 2 = p 2 c 2 + m 2 c 4
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Chapter 26 Solutions
College Physics
Ch. 26.3 - Prob. 26.1QQCh. 26.4 - Suppose youre an astronaut being paid according to...Ch. 26.4 - True or False: People traveling near the speed of...Ch. 26.4 - You are packing for a trip to another star, and on...Ch. 26.4 - You observe a locket moving away from you. (i)...Ch. 26.7 - Prob. 26.6QQCh. 26.7 - Prob. 26.7QQCh. 26 - Choose the option from each pair that makes the...Ch. 26 - Choose the option that makes the following...Ch. 26 - Choose the option that makes the following...
Ch. 26 - Choose the option from each pair that makes the...Ch. 26 - A spacecraft with the shape of a sphere of...Ch. 26 - What two speed measurements will two observers in...Ch. 26 - The speed of light in water is 2.30 108 m/s....Ch. 26 - With regard to reference frames, how does general...Ch. 26 - Give a physical argument that shows it is...Ch. 26 - It is said that Einstein, in his teenage years,...Ch. 26 - List some ways our day-to-day lives would change...Ch. 26 - Two identically constructed clocks are...Ch. 26 - Prob. 13CQCh. 26 - Imagine an astronaut on a trip to Sirius, which...Ch. 26 - Explain why, when defining the length of a rod, it...Ch. 26 - Prob. 16CQCh. 26 - The control panel on a spaceship contains a light...Ch. 26 - A spaceship moves past Earth with a speed of...Ch. 26 - If astronauts could travel at v = 0.950c, we on...Ch. 26 - a meterstick moving at 0.900c relative to the...Ch. 26 - The length of a moving spaceship is 28.0 m...Ch. 26 - An astronaut at rest on Earth has a heart rate of...Ch. 26 - The average lifetime of a pi meson in its own...Ch. 26 - An astronaut is traveling in a space vehicle that...Ch. 26 - A muon formed high in Earth's atmosphere travels...Ch. 26 - A star is 15.0 light-years (ly) from Earth. (a) At...Ch. 26 - The proper length of one spaceship is three times...Ch. 26 - A car traveling at 35.0 m/s takes 26.0 minutes to...Ch. 26 - A supertrain of proper length 1.00 102 m travels...Ch. 26 - A box is cubical with sides of proper lengths L1 =...Ch. 26 - Prob. 15PCh. 26 - Prob. 16PCh. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - An unstable particle at rest breaks up into two...Ch. 26 - Spaceship R is moving to the right at a speed of...Ch. 26 - An electron moves to the right with a speed of...Ch. 26 - A spaceship travels at 0.750c relative to Earth....Ch. 26 - A spaceship is moving away from Earth at 0.900c...Ch. 26 - Two identical spaceships with proper lengths of...Ch. 26 - Spaceship A moves away from Earth at a speed of...Ch. 26 - A pulsar is a stellar object that emits light in...Ch. 26 - A rocket moves with a velocity of 0.92c to the...Ch. 26 - A proton moves with a speed of 0.950c. Calculate...Ch. 26 - Protons in an accelerator at the Fermi National...Ch. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - A chain of nuclear reactions in the Suns core...Ch. 26 - An unstable particle with a mass equal to 3.34 ...Ch. 26 - Prob. 35PCh. 26 - Prob. 36PCh. 26 - Prob. 37APCh. 26 - Prob. 38APCh. 26 - Prob. 39APCh. 26 - A spring of force constant k is compressed by a...Ch. 26 - A star is 5.00 ly from the Earth. At what speed...Ch. 26 - An electron has a total energy equal to five times...Ch. 26 - An astronaut wishes to visit the Andromeda galaxy,...Ch. 26 - An alarm clock is set to sound in 10.0 h. At t =...Ch. 26 - Owen and Dina are at rest in frame S, which is...Ch. 26 - An observer in a coasting spacecraft moves toward...Ch. 26 - A spaceship of proper length 300. m takes 0.75 s...Ch. 26 - The cosmic rays of highest energy are protons that...Ch. 26 - Prob. 49APCh. 26 - Prob. 50APCh. 26 - The muon is an unstable particle that...Ch. 26 - Prob. 52APCh. 26 - The identical twins Speedo and Goslo join a...Ch. 26 - An interstellar space probe is launched from...Ch. 26 - An observer moving at a speed of 0.995c relative...Ch. 26 - An alien spaceship traveling 0.600c toward Earth...
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- Draw a third quadrant vector C. (remember that boldface characters represent vector quantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x- axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally, show the smallest angles that C makes with the positive x-axis and the positive y-axis: call these angles p1 and p2, repectively. a) Prove the following formulas for the components of C involving the standard angle (hint: start with the formulas for the components based on the angle & and then use (look up if necessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 = 3π/2-8 (this will switch cosine and sine around and eliminate - signs as well)) - C=Ccose C₁=Csine b) Prove the following formulas for the components of C: C=Ccosp1 C=Ccosp2arrow_forwardNotation matters when working with vectors! In particular, it is important to distinguish between the vector itself (A) and its magnitude (A). Illustrate in four separate sketches that each of the following statements is possible: a) both R = A + B and R=A+B are correct b) R = A + B is correct, but R=A+B is incorrect c) R = A + B is incorrect, but R=A+B is correct d) both R = A + B and R=A+B are incorrectarrow_forwardYou know from your math courses that an infinitesimal segment of a circular arc can be considered as a straight line segment. Imagine that you cover a full circle in, say, the clockwise direction, with infinitesimal displacement vectors dr. Then evaluate fdr and fdr (the circle symbol on the integral just reminds us that we have to go around the full circle).arrow_forward
- When 1.00 g of water at 100˚C changes from the liquid to the gas phase at atmospheric pressure, its change in volume is: 1.67 x 10^-3 How much heat is added to vaporize the water? How much work is done by the water against the atmosphere in expansion? What is the change in the internal energy of the water?arrow_forward1 m3 of pure water is heated from 10˚C to 120˚C at a constant pressure of 1 atm. The volume of the water is contained, but allowed to expand as needed remaining at 1 atm. Calculate the change in enthalpy of the water. You are provided with the following information at the conditions of 1 atm: The density of pure water between 10˚C and 100˚C: 1000kh/m^3 The heat capacity of water: 4.18 kj/kgK Enthalpy required to convert liquid water to gas (enthalpy of vaporization): 2260 kj/kg The heat capacity of steam: 1.7kj/kgk Is the reaction endothermic or exothermic? Why?arrow_forwardWhen a dilute gas expands quasi-statically from 0.50 to 4.0 L, it does 250 J of work. Assuming that the gas temperature remains constant at 300 K. What is the change in the internal energy of the gas? How much heat is absorbed by the gas in this process?arrow_forward
- A high-speed lifting mechanism supports an 881 kg object with a steel cable that is 22.0 m long and 4.00 cm^2 in cross-sectional area. Young's modulus for steel is 20.0 ⋅10^10 Pa. Determine the elongation of the cable.arrow_forwardNamor, from Wakanda Forever, sits on a throne at the bottom of the ocean in a city called Talocan (and Atlantis in the comics). Assuming he, including his gold headdress, has a density of 1085 kg/m3 and that Namor is surrounded by salt water with a density of 1027 kg/m3, what is Namor’s normal force while sitting underwater? Take Namor’s mass as 285. kg and solve as if he has a uniform density.arrow_forwardTo get there they need to travel through an area of salt-water, which seems to also be a magical portal, before arriving in a dry area. Judging by the time Maui and Moana spend falling through the water, it seems they dive 3440. ft deep. Assume the portal is non-magical salt-water, with a density of 1027 kg/m^3. Given that the air pressure above the portal is 1.013 ⋅10^5 Pa, what is the pressure when they are 3440. ft deep? 1 m = 3.28 ft. Moana would have a surface area of 1.30 m2. How much force would be acting on her at the bottom of this portal?arrow_forward
- A plank 2.00 cm thick and 15.7 cm wide is firmly attached to the railing of a ship by clamps so that the rest of the board extends 2.00 m horizontally over the sea below. A man of mass 92.9 kg is forced to stand on the very end. If the end of the board drops by 5.97 cm because of the man's weight, find the shear modulus of the wood.arrow_forwardwhen considering particle B (4,1) distances in relation to P (-4, 5), why are the y coordinates being used gto resolve the distance along the x-axis and vice-versa?arrow_forwardA 198 kg load is hung on a wire of length of 3.58 m, cross-sectional area 2.00⋅ 10-5 m2, and Young's modulus 8.00⋅10^10 Pa. What is its increase in length?arrow_forward
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