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(a) What is γ if v = 0.250c ? (b) If v = 0.500c ?
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- (a) How long would the mum] in Example 5.3 have lived as observed on Earth if its velocity was. 0.0500c? (b) How far would it have traveled as observed on Earth? (c) What distance is this in the muon’s frame?If p/m is .9c,what is v in terms of c?What is the typical speed of a helium atom in a child’s balloon at a room temperature of 20°C?
- How much energy is required to accelerate a golf ball of mass 0.046 kg initially at rest to a speed is .75c?A fixed mass of an ideal gas is heated from 50 to 80°C at a constant pressure of (a) 1 atm and (b) 3 atm. For which case do you think the energy required will be greater? Why?Sam flies past earth at 0.75c. As he goes by, he fires a bullet forward at 0.75c. Suzy, on the earth, measures the bullet’s speed to beA. 1.5c B. c C. Between 0.75c and cD. 0.75c E. Less than 0.75c
- A 50g piece of iron, with a temperature 90°C, is placed into 50g of water at 20°C. Do you think the final temperature of the system will be more, less or equal to 55°C (halfway point between the two objects)? Why? When does the reaction stop, when the energy of the two objects is equal or when the temperature is equal?A fixed mass of an ideal gas is heated from 50 to 80°C at a constant volume of (a) 1 m3 and (b) 3 m3. For which case do you think the energy required will be greater? Why?You are packing for a trip to another star. During the journey, you will be traveling at 0.99c. You are trying to decide whether you should buy smaller sizes of your clothing because you will be thinner on your trip due to length contraction. You also plan to save money by reserving a smaller cabin to sleep in because you will be shorter when you lie down. Should you (a) buysmaller sizes of clothing, (b) reserve a smaller cabin, (c) do neither of thesethings, or (d) do both of these things?
- A garage is a box 3m wide (x-direction) by 2m high (y-direction) and 8m deep (z-direction). You approach it at speed 0.968c along the z-direction. What dimensions do you observe the garage to have?A 0.25kg mass of liquid mercury initially 300°C is placed in an insulating closed container. The lid of the container is briefly lifted to insert a mass of copper initially at 390°C, causing all of the liquid mercury to undergo a phase change. What mass of copper was added if the system thermalizes at the boiling point of mercury?An electron travels at a speed of 0.600c. a) What is its kinetic energy? b) What is its total energy?