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A top is a toy that is made to spin on its pointed end by pulling on a string wrapped around the body of the top. The string has a length of 72 cm and is wrapped around the top at a place where its radius is 2.3 cm. The thickness of the string is negligible. The top is initially at rest. Someone pulls the free end of the string, thereby unwinding it and giving the top an angular acceleration of +10 rad/s2. What is the final angular velocity of the top when the string is completely unwound?
A cockroach of mass m lies on the rim of a uniform disk of mass 7.00 m that can rotate freely about its center like a merry-go-round. obtain the angular velocity of the cockroach-disk system
A spring is hung from the ceiling. A 0.600-kg block is then attached to the free end of the spring. Find the angular frequency of the block's vibrations
The intensity of sunlight at the distance of the Earth's orbit is 1380 W/m2. An Earth-orbiting satellite has a solar panel that measures 1.35 m by 4.86 m, how much electrical energy does the panel produce
A projectile projectile is fired at an upward angle of 45o from the top of a 265-m cliff with a speed of 185 m/s. What will be its speed when it strikes the ground below
Suppose the temperature of 4.72 L of ideal gas drops from 351 K to 275 K. (a) If the volume remains constant and the initial pressure is atmospheric pressure, Find the number of moles of gas
A Toyota Prius driving north at 61 and a VW Passat driving south at 42 are on the same road heading toward each other.
A small rock with mass 0.200 kg is fastened to a massless string with length 0.750 m to form a pendulum. What is tension in the string at the lowest point
Six pendulums of mass and length are released from rest at the similar angle from vertical. Rank the pendulums according to the number of complete cycles of motion each pendulum goes through per minute.
Calculate the force a piano tuner applies to stretch a steel piano wire 8.10 mm, if the wire is originally 0.850 mm in diameter and 1.30 m long
A 2.50 cm by 2.50 cm parallel-plate capacitor has a 2.30 mm spacing. The electric field strength inside the capacitor is 6.00×10^4. What is the potential difference across the capacitor
A steady beam of alpha particles (q = + 2e, mass m = 6.68 x 10-27 kg) traveling with constant kinetic energy 26 MeV carries a current of 0.34 µA. If the beam is directed perpendicular to a flat surface, how many alpha particles strike the surface i..
At a fabrication plant, a hot metal forging has a mass of 75 kg and a specific heat capacity of 430 J/(kg·°C). To harden it, the forging is immersed in 710 kg of oil that has a temperature of 32°C and a specific heat capacity of 2900 J/(kg·°C).
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