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Q. A frictionless pulley has the shape of a uniform solid disk of mass 6.00 kg and radius 24.0 cm. A 1.50 kg stone is attached to a very light wire that is wrapped around the rim of the pulley , and the stone is released from rest. As it falls down, the wire unwinds without stretching or slipping, causing the pulley to rotate. How far must the stone fall so that the pulley has 6.50 J of kinetic energy?
Q. Sasha's favorite ride at the fair is the Ferris wheel that has a radius of 7 m. a) If the ride takes 20 s to make one full revolution, what is the linear speed of the wheel? b) What centripetal force will the ride exert on Sasha's 50 kg body? c) Does Sasha feel as if she is being pulled in or out by the ride? d) Explain the difference between what she feels and what is really happening at the top and bottom of the wheel.
Which color has the highest index of refraction
The wavelength of an ocean wave
A dentist uses a small mirror with a radius of 36 mm to locate a cavity in a patient's tooth. If the mirror is concave and is held 16 mm from the tooth, what is the magnification of an image.
A bumper car with mass m1 = 116 kg is moving to the right with a velocity of v1 = 5 m/s. A second bumper car with mass m2 = 96 kg is moving to the left with a velocity of v2 = -3.8 m/s. The two cars have an elastic collision. Suppose the surface is f..
How rapidly atom are assembled in this protein synthesis
A wooden raft has a mass of 81 kg. while empty it floats in water (density 1000 kg/m3) with 64% of its volume submerged. What mass of sand can be put on the raft without it sinking.
A styrofoam cooler (k = 0.030 W/(m·K)) has outside dimensions of 0.270 m by 0.230 m by 0.280 m, and an average thickness of 2.6 cm. About how long would it take for 1.60 kg of ice at 0 °C to melt in the cooler if the outside temperature is 30.0 °C..
What mass (in grams) of steam at 100 °C must be mixed with 287g of ice at its melting point, in a thermally insulated container, to produce liquid water at 65°C? The specific heat of water is 4186 J/kg·K. The latent heat of fusion is 333 kJ/kg, an..
A trapeze artist swings in simple harmonic motion with a period of 4.2s. The acceleration of gravity is 9.81m/s2. Compute the length of the cables supporting the trapeze.
Use the value of the Sun's luminosity (3.90×10^26 watts, or 3.90×10^26 joules per second) to calculate what mass of hydrogen the Sun will convert into helium during its entire main-sequence lifetime of 1.2×10^10 years.
An airplane is flying with a velocity of 81.0 m/s at an angle of 24.0^circ above the horizontal. When the plane is a distance 108m directly above a dog that is standing on level ground, a suitcase drops out of the luggage compartment.
A square, single turn coil 0.20m on a side is placed with its plane perpendicular to a constant magnetic field. An emf of 18mV is induced in the coil winding as the area of the coil decreases at the rate of 0.10m2/S. What is the magnitude of the m..
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