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A record with a 10 cm radius and 200 g mass is dropped vertically onto a freely rotating turntable (meaning the turntable is not being driven by a motor). Frictional forces act to bring the record and turntable to a common angular speed. The radius of the turntable is also 10 cm, and the mass is 2 kg. The initial angular velocity of the turntable is 5 rad/s. (i) What is the final angular velocity of the record and the turntable? (ii) If there is a net frictional torque of 0.1 N·m, how long will it take for the record and turntable to stop rotating?
A frictionless pulley has the shape of a uniform solid disk of mass 6 and radius 25 . A 1.90 stone is attached to a very light wire that is wrapped around the rim of the pulley.
What is the maximum speed the car. A roller-coaster car speeds down a hill past point A where R1 = 8.0 m and then rolls up a hill past point B where R2 = 15.0 m.
A 52.0 skateboarder wants to just make it to the upper edge of a "quarter pipe," a track that is one-quarter of a circle with a radius of 2.90. What speed does he need at the bottom.
A 13.00 g bullet travelling 236 m/s penetrates a 2 kg block of wood and emerges cleanly at 179 m/s. If the block is stationary on a frictionless surface as hit, how fast does it move after the bullet emerges.
Suppose that a person in Tilted Land throws a ball straight up at 20 m/s. Where does the ball hit the ground?
A rock of mass 33 kg accidentally breaks loose from the edge of a cliff and falls straight down. The magnitude of the air resistance that opposes its downward motion is 242 N. What is the magnitude of the acceleration of rock.
A child exerts a tangential 47.6 {N} force on the rim of a disk-shaped merry-go-round with a radius of 2.10 {m}. If merry-go-round starts at rest and acquires the angular speed of 0.080 {rev/s} in 3 {s}, what is its mass.
A force of 7 pounds is required to hold a spring stretched 0.5 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length.
explain the magnitude of the centripetal acceleration. At what two locations on the x-axis (xpositive, xnegative) is the potential zero.
A 11.20 kg object oscillates at the end of a vertical spring that has a spring constant of 2.10 104 N/m. The effect of air resistance is represented by the damping coefficient b = 3 N•s/m.
A 73 trampoline artist jumps vertically upward from the top of a platform with a speed of 4.0. If the trampoline behaves like a spring of spring constant 6.2×104, how far does he depress it.
A loudspeaker of mass 22 {rm kg} is suspended a distance of h = 2 {rm m} below the ceiling by two cables that make equal angles with the ceiling. Each cable has the length of l = 3.90 {rm m}.
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