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As measured by Earth, Ships A and B move on the x axis; according to the Earth,

ID: 2171867 • Letter: A

Question

As measured by Earth, Ships A and B move on the x axis; according to the Earth, Ship A has a speed of 0.850c in the positive x direction, and Ship B travels directly toward Ship A with a speed of 0.620c in the negative x direction. As measured by Earth, it takes 60minutes for the baker on Ship B to bake a cake. Also, the Earth measures the length of Ship A to be 100 meters.

a.What is the velocity of Ship A as measured by Ship B?

b. How much does it take to bake the cake as measured by the baker in Ship B?

c. What is the length of Ship A as measured by Ship B?

Explanation / Answer

VA = 0.85c;

VB = 0.62c;

so

a)   velocity of Ship A as measured by Ship B =VAB = VA -VB = 0.85c-0.62c = 0.17c;

b) t1 = t* lorentz factor;

= 60* (1-0.172 )= 59.12644 min;

c) length = l/lorentz factor = 100/0.985444 =101.477 m