The total mechanical energy is
Explanation:
The total mechanical energy (TME) of an object is equal to the sum of its gravitational potential energy (U) and its kinetic energy (K):
When the car is at rest 50 m above the ground, its speed is zero, therefore its kinetic energy is zero as well:
K = 0
This means that the TME is just equal to the gravitational potential energy:
where:
m is the mass of the car
is the acceleration of gravity
h is the height above the ground
For the car in the problem,
m = 575 kg
h = 50 m
Substituting,
Learn more about gravitational potential energy:
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As per Einstein's theory of relativity we know that when an object will move with the speed comparable to the speed of light then the length of the object will be different from its length at rest position
This is also known as length contraction theory
As we know here that
so here we know that
v = 0.95 c
so from above equation we will have
so here the length will be SHORTER
in 0.758 s, the pulse travels four trips down and back along the cord, 2.85 m long
1 trip is length of cords so four trips down and back is 8 x cord length
speed of traverse wave = distance / time
= 8 x 2.85 / 0.758
= 30.08m/s
speed of traverse wave is also equal to √(T/(m/L)) where T is tension, m is mass and L is length
so speed squared = T/(m/L)
T = speed^2 x m / L
= 30.08^2 x 0.254 / 2.85
= 80.64 N