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The ultracentrifuge is an important tool for separating and analyzing proteins. Because of the enormous centripetal accelerations, the centrifuge must be carefully balanced, with each sample matched by a sample of identical mass on the opposite side. Any difference in the masses of opposing samples creates a net force on the shaft of the rotor, potentially leading to a catastrophic failure of the apparatus. Suppose a scientist makes a slight error in sample preparation and one sample has a mass 10 mg larger than the opposing sample. If the samples are 12 cm from the axis of the rotor and the ultracentrifuge spins at 70,000 rpm, what is the magnitude of the net force on the rotor due to the unbalanced samples? (Please be thorough on your answer)
A satellite is in geosynchronous orbit., What is the satellite's speed and What additional speed is required for the satellite to escape Earth's gravity completely
Consider a series RLC circuit with R = 15 , L = 190 mH, C = 75 µF, and a maximum voltage of 142 V. What is the impedance of the circuit at resonance
A 4.3-m long plank with a weight of 164 N is place on a dock with 1.4 m of its length extended over the water. How far from the edge of the dock can the boy move until the plank is just on the verge of tipping
The student realizes that the spring demonstrates SHM with the attached mass of 255.0 g. The student is next asked to calculate the period of oscillation, T
Consider two masses (M=50 kg, m = 10 kg) connected by a string as shown below. Find the tension in the connecting string
A "swing" ride at a carnival consists of chairs that are swung in a circle by 12.0 m cables attached to a vertical rotating pole, Find the speed of the chair
a vehicle covers 600m on a compass bearing of 47 degrees,then 500m bearing 128 degrees; Determine the resultant displacement of the vehicle
How much kinetic energy will an electron gain (in joules) if it accelerates through a potential difference of 1.30×104V
The specific heat of a certain metal can be determined by measuring the temperature change that occurs when a piece of the metal is heated, What is the specific heat of the metal
A ball of mass 0.60 kg is fired with velocity 200 m/s into the barrel of a spring gun of mass 2.0 kg initially at rest on a frictionless surface. What fraction of the ball's initial kinetic energy is stored in the spring
A typical car battery is composed of six, 2.1 V cells arranged in series to have an Emf of 12.6 V. How many electrons pass through the starter motor
An AC voltage of the form ?v = 100 sin 1 000t, where ?v is in volts and t is in seconds, is applied to a series RLC circuit. Find the average power delivered to the circuit
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