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1. A child sits on the edge of a spinning merry-go-round that has a radius of 1.7 m. The child's speed is 5 m/s. What is the child's acceleration?2.During a NASCAR race a car goes 48 m/s around a curved section of track that has a radius of 240 m. What is the car's acceleration?3.Initially stationary (the train starts at rest), a train has a constant acceleration of 0.8 m/s2.(a) What is its speed after 33 s?(b) What would be the total time it would take to reach a speed of 44 m/s?4.A rock is dropped off the side of a bridge and hits the water below 8.3 s later.(a) What was the rock's velocity when it hit the water?speed direction (b) What was the rock's average velocity as it fell?speed direction (c) What is the height of the bridge above the water?5.During takeoff, an airplane goes from 0 to 76 m/s in 7 s.(a) What is its acceleration?(b) How fast is it going after 3 s?(c) How far has it traveled by the time it reaches 76 m/s?6.A high-performance sports car can go from 0 to 100 mph in 4.6 s. (Assume the car travels in the positive direction. Indicate the direction with the sign of your answer.)(a) What is the car's average acceleration (in SI units; meter-kilogram-second)?(b) The same car can come to a complete stop from 35 m/s in 5.5 s. What is its average acceleration?7.A passenger jet flies from one airport to another 1,333 miles away in 3.1 h. Find its average speed in the mks system of units.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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