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The displacement of a particle along the X-axis is given as
x=5t2+1
, where x is in metres and t in seconds. Calculate its instantaneous velocity 2 s.

46 m/s

40 m/s

20 m/s

25 m/s
a man walks 5.0m due east, and then 10.0m N30oE find his resultant displacement?
Find the average value of Px. <Px> for n=1 state of a particle in a one dimensional box of length 'l'. Comment on your result.
if the Einstein experiment of the two clock under different gravitational field, give the result of electron having different oscillation period, ( faster and slow).
doesn't it mean in different gravity, we experience the the vibration of electron differently.

that electron is our measurement of time, but not time itself?.

why do the general public keep using the word time so ambiguously..

and why do people keep saying time ( electron) slow down when one goes faster?..does that mean if one goes faster, one experience less gravity?
Use the Clebsch-Gordan expansion method to calculate the matrix representations of Lz(z is a subscript) and Sz(z is a subscript) in the coupled basis | jmʲ(j is a subscript)ℓs > for the ℓ= 1 states of an electron. [You have 6×6 matrices.]
Show that the operator p⁴ commutes with the operator L² and Lz, so that the relativistic
perturbation Hamiltonian is diagonal within each degenerate subspace.
Consider a charged particle bound in the harmonic oscillator potential V (x) =½mω²x². A weak electric field E is applied to the system such that the potential energy is shifted by an amount H'=-qEx.

(a) Calculate the energy levels of the perturbed system to second order in the small perturbation.
(b) Show that the perturbed system can be solved exactly by completing the square in the
Hamiltonian. Compare the exact energies with the perturbation results found in (a).
Calculate the first-order energy corrections for all levels of an infinite square well potential
(between x = 0 and x = L) with a perturbation H' = αx(L-x)
A sailboat moves north for a distance of 10.00 km when blown by a wind from the exact southeast with a force of 2.00 × 104 N. The sailboat travels the distance in 1.0 h. How much work was done by the wind? What was the wind’s power? Your response should include all of your work and a free-body diagram.
In compton effect, when scatterring angle of x-rays is zero,hence there is no change in frequency and energy.
but in this case elecron recoils at 90 degrees why?
From where does it get the energy to recoil?