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A playground carousel is free to rotate about its center on frictionless bearings. The carousel has an angular speed of 3.34 rad/s, a moment of inertia of 125 kg · m2, and a radius of 1.80 m. A 45.0-kg person, standing still next to the carousel, jumps onto it very close to the outer edge. Find the resulting angular speed of the carousel and person.
rad/s
Three wires are connected at a branch point. Find the current carried by the third wire into the branch point
A roller coaster is traveling at 5 m/s at the top of a hill 40 m above the ground. What is the speed of the roller coaster when it is 15 m above the ground
A wheel is disconnected from a motor and come to rest from 12,000 rpm because of a 1.10 m·N frictional torque. How long will it take to come to rest
Two point charges Q1 = +4.55 nC and Q2 = ?1.65 nC are separated by 50.0 cm. (a) What is the electric potential at a point midway between the charges? (b) What is the potential energy of the pair of charges? What is the significance of the algebrai..
An electron has an initial velocity of 4.9 • 106 m/s in a uniform 1.9 • 105 N/C strength electric field. How far does the electron travel before coming into rest in m
You shoot an arrow into the air. Two seconds later arrow has gone straight upward to a height of 30 meters above its launch point. a) What was the arrow's initial speed? b) How long did it take for the arrow to first reach a height of 15 meters ab..
A parachutist leaves a stationary plane and free falls for 50.0 meters (ignore air resistance for the free fall). At what height did she leave the plane
When a high-speed passenger train traveling at 170 km/h rounds a bend, engineer is shocked to see that a locomotive has improperly entered onto the track from a siding and is a distance D = 601 m ahead.
When you hit a baseball with a bat, the bat flexes and then vibrates. We can model this vibration as a transverse standing wave. Estimate the approximate distance of the sweet spot (as a fraction of the bat's length L ) from the end of the bat
A 21.0-kg box rests on a frictionless ramp with a 14.3° slope. The mover pulls on a rope attached to the box to pull it up the incline. If the rope makes an angle of 38.4° with the horizontal, what is the smallest force F the mover will have to exert..
An object attached to a horizontal spring is oscillating back and forth along a frictionless surface. The maximum speed of the object is 1.25m/s.
A converging lens with a focal length of 20 cm and a diverging lens with a focal length of -70 cm are 110 cm apart. Calculate the distance between image and diverging lens
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