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An alpha particle (m= 6.64E-27 kg) trapped in the nucleus of an atom can be modelled as a particle moving in a one-dimensional box of width 1.00E-14m. Using this model, calculate:
a) The ground state momentum of the particle.
b) The zero point energy (i.e. lowest energy) of the alpha-particle.
c) The frequency of the photon that could promote the alpha-particle to the second excited state (n=3.
d) Sketch the curve of the probability density for the alpha-particle in the box, for the state n=3.
A 300kg piano slides 4.10 m down a 30° incline and is kept from accelerating by a man who is pushing back on it parallel to the incline. The effective coefficient of kinetic friction is 0.4. Determine the force exerted by the man.
A superhero flies 147 m from the top of a tall building at the angle of 33 degrees below the horizontal. What is the vertical component of the superhero's displacement.
An unstable particle with a mass equal to 3.34x10^-27 kg is initially at rest. Find the masses of the fragments
A child in a boat throws a 5.15-kg package out horizontally with a speed of 10.0 m/s. Calculate the velocity of the boat immediately after, assuming it was initially at rest
The output voltage of an AC generator is given by ?v = (120 V) sin (50?t). The generator is connected across a 25.0-? resistor. Find the power delivered to the resistor
An eagle is flying horizontally at 5.7 m/s with a fish in its claws. It accidentally drops the fish. (a) How much time passes before the fish's speed doubles? (b) How much additional time would be required for the speed to double again?
A plane sinusoidal electromagnetic wave has a magnetic field amplitude of 5.00 x 10^-5 T. What is the electric field amplitude of the wave
If the rope tension is 120 N, and if the rope does 2500 J of work on the box, what angle theta does the rope make with the horizontal
Find the minimum diameter of an l = 16.3 m long steel wire that will stretch no more than 7.39 mm when a mass of 343 kg is hung on the lower end
An ordinary workshop grindstone has a radius of 7.50 cm and rotates at 6000 rpm. What is the linear speed of a point on its edge
A box slides down a 25° ramp with an acceleration of 1.070m/s2. Resolve the coefficient of kinetic friction between box and ramp.
A 71kg pole-vaulter falls from rest from a height of 4.6m onto a foam-rubber pad. The pole-vaulter comes to rest 0.4s after landing on the pad.
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