Q.9 A body starts from rest and travels with an acceleration of 1.5 m/s2. After t seconds its velocity is 6 m/s . Then tis? (a) 10 S (b) 5 s (c) 4 (d) 65
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Ответ:
Gamma factor
y equals one divided by the square root of the quantity one minus v squared over c squared
v is the velocity of the object
c is the velocity of light (3 E8 m/s).
Example:
What would be the gamma factor for an object moving at 0.5c?
v = 0.5c
c = c
y equals one divided by the square root of the quantity one minus parenthesis zero point five times c parenthesis squared over c squared equals one point one five times c
Time Dilation
delta t equals delta t sub zero divided by the square root of the quantity one minus v squared over c squared
can also be written as delta t equals delta t sub zero times y
v is the relative speed between the observer who measures delta t sub zero
Δt the change in time the observer measures
Example:
A clock moves past you at a speed of 0.5c. How much time passes for you for each second that elapses on the moving clock?
v = 0.5c
c = c
delta t sub zero = 1 s
delta t equals delta t sub zero divided by the square root of the quantity one minus v squared over c squared
delta t equals delta one s divided by the square root of the quantity one minus parenthesis zero point five times c parenthesis squared over c squared equals one point one five times s
Length Contraction
L equals L sub zero times the square root of the quantity one minus v squared over c squared can also be written as L = L0 /
v is the relative speed between the observer who measures L0
L the length the observer measures
Example:
If a meterstick moves to your right at a constant velocity of 0.7c, what would you measure its length to be?
v = 0.7c
c = c
L0= 1m
L equals L sub zero times the square root of the quantity one minus v squared over c squared
L equals one m times the square root of the quantity one minus parenthesis zero point seven times c parenthesis squared over c squared equals zero point seven meters
Explanation: