To solve the exercise it is necessary to use the reciprocal Lorenz factor of the special theory of relativity with the pulse rate.
Where,
Pulse rate measured by earth observed
Reciprocal Lorenz Factor
Here v is the velocity and c the light speed.
PART A) For the given values we can replace it at the previous equation,
PART B ) If the speed of vehicle is 0.94c:
Answer:
Approximately , assuming that
Explanation:
The weight of the elevator is:
.
Since the speed of the elevator is constant, the acceleration of this elevator would be .
By Newton's Second Law of Motion, the net force on the elevator (proportional to acceleration) would also be . All external forces on the elevator need to be balanced in every direction.
The only two vertical forces on the elevator are:
These two forces need to balance one another. Since the weight of the elevator is approximately , the upward pull of the motor would be
. in magnitude.
The direction of this upward pull is the same as the direction of the motion of this elevator. Thus, the work that the motor did on the elevator would be positive:
.
Since the velocity of the elevator is constant, instantaneous power output of the motor would be equal to the average power of the motor:
.