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An astronaut is being tested in a centrifuge. The centrifuge has a radius of 9.6 m and, in starting, rotates according to ? = 0.34t^2, where t is in seconds and ? is in radians. When t = 5.1 s, what are the magnitudes of the astronaut's
(a) angular velocity,
(b) linear velocity,
(c) tangential acceleration, and
(d) radial acceleration?
A small office building air conditioner operates on 250 V AC and consumes 3.88 kW, What is its effective resistance and How is energy related to power? Check units for consistency
A tank is in the shape of an inverted cone, having height h = 2.50 m and base radius r = 0.750 m. If water is poured into the tank at a rate of 15 L/s, how long would it take to fill the tank.
Jeff of the Jungle swings on a 7.6- vine that initially makes an angle of 47 with the vertical. If Jeff starts at rest and has a mass of 88 , illustrate what is the tension in the vine at the lowest point of the swing?
The bellow of a territorial bull hippopotamus has been measured at 110 dB above the threshold of hearing
A bottle has a mass of 28.60g when empty and 92.15gwhen filled with water. What is the specific gravity of this other fluid
An object with a charge of 0.980 µC is placed at the center of a regular icosahedron with 20 equivalent surfaces. What is the electric flux through one surface of the icosahedron?
A block that was initially at rest is sliding on a steel surface at 0.8 m/s for .2 m. Calculate the temperature rise from friction
What is the volume of the bubble when it reaches just below the surface of the lake, where temperature is 20°C.
Compute the value that the spring constant should have so that passengers undergo an acceleration of no more than 7.0 when brought to rest. Let be the total mass of the elevator and passengers.
A 0.570 kg ball is dropped from rest at a point 1.50 m above the floor. The ball rebounds straight upward to a height of 0.800 m. Illustrate what are the magnitude and direction of the impulse of the net force applied to the ball during the collis..
By using integral calculus, find the area of the region bounded by the graphs of y = x^2 and y = 4. (x and y are in meters.) Calculate the rotational inertia of this object when it is spinning around y-axis.
A 116 g insulated aluminum cup at 15°C is filled with 140 g of water at 50°C. After a few minutes, equilibrium is reached. Estimate the total change in entropy
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