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1) Estimate the difference Δ

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Answer #1

(1) The time interval measured by a proper observer is, to = 9000 sec. Now calculate the time interval observed by the relative observer as shown below: v is the speed of moving object and c is the speed of light in vacuum. The speed of commercial jet at 500 knots will be, v= 257.2 m/s. The value of speed of light will be, c = 3x10 m/s. Then, 9000 = sec 257.22 (3x108) = 9000.00000000330759 sec Then, the difference will be, At die =t-to =(9000.00000000330759-9000 sec A = 3.30759x10-sec

(2) Rest energy of 13.9-gram piece of chocolate. The relation to calculate the rest energy is: E = mc? Here m is the mass of chocolate and c is the velocity of light. m=13.9 g -13.9 g 1000g 1 kg =0.0139 kg c = 3x108 m/s Then, E = mc2 =(0.0139 kg)(3x10° m/s) =(0.0139x(3x10*)) kg m? = 1.25x10' ) 1joule() = 1 kepim s Now convert this energy into Terajoules as shown below: The conversion factor is: 1 TJ = 102 J (or) 1 J= 10-12 TJ Then, the rest energy in Terajoules will be: E =1.25x1015 J =1.25x10% ] x 1TJ =1.25*10 *10-27 =(1.25*10*xions E=1250 TJ

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Answer 1

(1) The time interval measured by a proper observer is, to = 9000 sec. Now calculate the time interval observed by the relative observer as shown below: v is the speed of moving object and c is the speed of light in vacuum. The speed of commercial jet at 500 knots will be, v= 257.2 m/s. The value of speed of light will be, c = 3x10 m/s. Then, 9000 = sec 257.22 (3x108) = 9000.00000000330759 sec Then, the difference will be, At die =t-to =(9000.00000000330759-9000 sec A = 3.30759x10-sec

(2) Rest energy of 13.9-gram piece of chocolate. The relation to calculate the rest energy is: E = mc? Here m is the mass of chocolate and c is the velocity of light. m=13.9 g -13.9 g 1000g 1 kg =0.0139 kg c = 3x108 m/s Then, E = mc2 =(0.0139 kg)(3x10° m/s) =(0.0139x(3x10*)) kg m? = 1.25x10' ) 1joule() = 1 kepim s Now convert this energy into Terajoules as shown below: The conversion factor is: 1 TJ = 102 J (or) 1 J= 10-12 TJ Then, the rest energy in Terajoules will be: E =1.25x1015 J =1.25x10% ] x 1TJ =1.25*10 *10-27 =(1.25*10*xions E=1250 TJ