(20%) Problem 5: This question will ask what speed, expressed as its ratio to th
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(20%) Problem 5: This question will ask what speed, expressed as its ratio to the speed of light, corresponds to various values of the relativistic parameter y Randomized Variables 1 = 2.25 Y2 = 8.5 50% Part (a) At what speed, relative to the speed of light, is = 2.25? Grade Summarv Deductions Potential 0% 100% sinO cotan)a atan)acotan cos cosO asin() HOME tan acosO sinh) cotanh) Submissions Attempts remaining: 3 (5% per attempt) detailed view )s 0 tanh) ·Degrees Radians END BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 3% deduction per hint. Hints remaining: 1 Feedback: 3% deduction per feedback 50% Part (b) At what speed, relative to the speed of light, is = 8.5?Explanation / Answer
y = 1 / sqrt[1 - (v/c)^2 ]
a) for y = 2.25
y = 2.25 = 1/ sqrt[ 1 - (v/c)^2]
sqrt[ 1 - (v/c)^2 ] = 0.444
1 - (v/c)^2 = 0.1975
(v/c)^2 = 0.8025
(v/c) = 0.896
b) for y =8.5
y = 8.5 = 1/ sqrt[ 1 - (v/c)^2]
sqrt[ 1 - (v/c)^2 ] = 0.1176
1 - (v/c)^2 = 0.0138
(v/c)^2 = 0.9862
(v/c) = 0.993
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