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A hollow sphere of radius 0.35 m, with rotational inertia I = 0.022 kg m2 about a line through its center ofmass, rolls without slipping up a surface inclinedat 32° to the horizontal. Ata certain initial position, the sphere's total kinetic energyis 65 J.
a) How much of this initial kinetic energy is rotational?b) What is the speed of the center of mass of the sphere at theinitial position?Now, the sphere moves 1.0 m up the incline from its initialposition.c) What is its total kinetic energy now?d) What is the speed of its center of mass now?
Three 4 uF capacitors are connected in parallel across the terminals of a 120 Hz generator. What is the capacitive reactance of the circuit
An optometrist prescribes contact lenses that have a focal length of 50.0cm. Are the lenses converging or diverging? Is the person who wears them near-sighted or far-sighted?
a playground merry-go-round has a radius r and a rotational inertia i. when the merry-go-round is at rest a child with
A cylindrical copper cable carries a current of 1380 A. There is a potential difference of 1.6 10-2 V between two points on the cable that are 0.21 m apart. What is the radius of the cable
A Pilot ejects from a jet raveling horizontally at 361 m/s. The combined mass of the pilot and their ejection seat is 200 kg. Whats the drag force exerted on the pilot
The x-component of a velocity vector that has an angle of 31 degrees to the +x-axis has a magnitude of 4.9m/s. What is the magnitude of the velocity
A 2000kg vehicle is travelling down the road at 20m/s (45 mph) when it reaches an intersection. Between rubber and dry asphalt, the coefficient of friction is 0.80. What is the minimum distance necessary for the car to stop.
A freezer has a coefficient of performance of 6.30. The freezer is advertised as using 430 kW-h/y, On average, how much energy does the freezer use in a single day
A length of wire has a radius of 3.00 × 10 -3 m and a resistance of 0.200 ?. When the potential difference across the wire is 10.0 V, calculate the density of free electrons in the wire
An isotope of the element Thallium, Tl-206, undergoes beta decay with a half life of 3.1 minutes. what mass of the isotope will be left after 9.3 minutes have elapsed
a jellyfish is floating in a water filled aquarium 1.00 m behind a flat pane of glass 6.00 cm thick and having an
A ramp inclined at 60.0 degrees with respect to the horizontal rests on a floor. The mass of the ramp is 10.kg, and the coefficent of static friction between the bottom of the ramp and the floor is .8. A 5.0 kg block is then placed on the inclined..
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