Answer:

Explanation:
initially the merry go round is at rest
after 6.73 s the merry go round will accelerates to 20 rpm
so final angular speed is given as



so final tangential speed is given as


now average acceleration of the girl is given as



Answer:
Wavelength
Explanation:
Wavelength is the distance between two corresponding consecutive phases of a waveform. It is usually represented by λ in the mathematical expressions.
A continuous propagating wave repeats its wavelength over the distance.
A wave has crest and trough with respect to time and space.
Wave is defined as a disturbance of any parameter repeated in a cyclic manner over the given time.
The rest energy of a particle is

where

is the rest mass of the particle and c is the speed of light.
The total energy of a relativistic particle is

where v is the speed of the particle.
We want the total energy of the particle to be twice its rest energy, so that

which means:


From which we find the ratio between the speed of the particle v and the speed of light c:

So, the particle should travel at 0.87c in order to have its total energy equal to twice its rest energy.
Position and momentum.
This is Heisenberg's Uncertainty Principle:
Δx Δp ≥ h ÷ 4π, where Δx is the change in position, Δp is the change in momentum, and h is Planck's Constant.
Answer:
<em>Angular displacement=68.25 rad</em>
Explanation:
<u>Circular Motion</u>
If the angular speed varies from ωo to ωf in a time t, then the angular acceleration is given by:

The angular displacement is given by:

The wheel decelerates from ωo=13.5 rad/s to ωf=6 rad/s in t=7 s, thus:



Thus, the angular displacement is:



Angular displacement=68.25 rad