Answer:
v = 0.6c = 1.8 x 10⁸ m/s
Explanation:
From Einstein's theory of relativity, we know that the length of an object contracts while traveling at a speed relative to speed of light. The contraction is according to following equation:
where,
L = Relative Length
L₀ = Rest Length
According to given:
L = 0.8 L₀
c = speed of light = 3 x 10⁸ m/s
v = relative speed of train = ?
Therefore,
squaring on both sides:
taking square root on both sides:
<u>v = 0.6c = 1.8 x 10⁸ m/s</u>
Answer:
3
Explanation:
-The formula for kinetic energy is the following:
K.E.=m
where:
K.E. is kinetic energy
m is mass
v is velocity
Here we can see that kinetic energy is proportional to the velocity squared, so if the speed or velocity of the scooter doubles then this would quadruple its kinetic energy.
-The acceleration is the rate of change of velocity per unit of time. A scooter could double its speed with a constant acceleration, so an increase in speed doesn't necessarily mean an increase in acceleration.
-The formula for momentum is the following:
p=mv
where:
p is momentum
m is the mass of the object
v is the objects velocity
Here we can see that the momentum is directly proportional to the velocity, so if the scooter where to double its velocity then it would also double its momentum.