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Calculate the radial probability density

Questions:

1) A rectangular air mattress is 1.6 m long, 0.56 m wide, and 0.07 m thick. If it has a mass of 2.0 kg, what additional mass can it support in water?

2)bowling ball of mass 7.21 kg and radius of 10.0 cm rolls without slipping down a lane at 3.00 m/s.

Calculate the total kinetic energy.

3)Calculate the radial probability density P(r) for the hydrogen atom in its ground state at (a) r = 0 and (b) r = 1.84a, where a is the Bohr radius.

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Find the magnitude of the acceleration acm of the center of mass of the spherical shell.