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A hemispherical observation dome is proposed for a new tourist oceanarium and the owners want it as large as possible and as deep as possible. Including the engineering factor of safety, the maximum vertical shear force on the seal holding the dome in place 15 kN. The dome manufacturer states that the transparent plastic is safe from buckling at a horizontal load of 80 kN (for domes less than 2 m in diameter). The seawater density is 1027 kg m -3 .
(a) What is the maximum diameter y2 of the dome that is safe from seal failure?
(b) What is the maximum safe depth y1 that is safe from dome buckling?
The block of mass M slides back along the horizontal surface with a coefficient of kinetic friction mk and eventually comes to a rest. In terms of v4, how far does the block slide during this final leg of its journey
What is the highest compression of the spring for a perfectly inelastic impact.
A cylindrical pulley with a uniform solid disk shape has a radius of 10.0cm and a mass of 0.80kg. At this point, what total percentage of the kinetic energy does the pulley have
Assume the charge on black hole is 5740 C. At what distance from it is the electric potential equal to 1100 V.
Laser light with a wavelength lambda = 660nm illuminates a pair of slits at normal incidence.
You operate a small grain elevator near Champaign, Illinois. What is the power provided by the electric motor powering the bucket elevator when the bucket elevator ascends with a full load at a speed of 2.2 m/s
A 56.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial speed of 1.24 102 m/s from the top of a cliff 146 m above level ground, What is the initial total mechanical energy of the projectile
A cannon shoots a cannonball from the ground level (ignore the height of the cannon) to the top edge of a cliff that is 135m high. What will be the speed of the ball when it hits the cliff
a long solenoid has 500 turns. a current of 2 A is passed through it, the resulting magnetic flux linked with each turn of a solenoid is 4x1/1000wb
An electron moves in the positive x-direction a distance of 2.31 m in 2.85·10-8 s, bounces off a moving proton, and then moves in the opposite direction a distance of 1.53 m in 3.33·10-8 s.
On aircraft carriers, catapults are used to accelerate jet aircraft to flight speeds in a short distance. What is the acceleration of the jet in m/s2
A rocket blasts off from a platform on a space station. An identical rocket blast off from free space. Considering that everything else is equal, will the two rockets have the same acceleration? define.
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