What is the acceleration of a 10kg mass pushed by a 5N force?
1 answer:
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Answer:
a. speed, v = 0.97 c
b. time, t' = 20.56 years
Given:
t' = 5 years
distance of the planet from the earth, d = 10 light years = 10 c
Solution:
(a) Distance travelled in a round trip, d' = 2d = 20 c = L'
Now, using Length contraction formula of relativity theory:
(1)
time taken = 5 years
We know that :
time =
5 = (2)
Dividing eqn (1) by v on both the sides and substituting eqn (2) in eqn (1):
Squaring both the sides and Solving above eqution, we get:
v = 0.97 c
(b) Time observed from Earth:
Using time dilation:
Solving the above eqn:
t'' = 20.56 years
Answer:
The duration is
Generally the time it would take for the message to get the the other civilization is mathematically represented as
Here c is the speed of light with the value
=>
=>
converting to years
Now the total time taken is mathematically represented as
=>
=> [tex]T =72 \ years /tex]