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a. In an Incline Plane experiment, a cart has a mass of 496 grams and the weight has an unknown mass; the incline angle is 8.12°, and the cart accelerates up the track at 3.22 m/s2. What is the acceleration of the counter weight? Answer in m/s2and to the fourth decimal place.
b. If the weight that pulls the cart has a mass of 199 grams and the cart accelerates up the track at 1.44 m/s2. What is the tension in the string that connects the weight and the cart? Answer in newtons, and to the fourth decimal place. Use g = 9.81 m/s2.
c. If the cart has a mass of 505 grams, and is at an incline of 18.15°, what is the magnitude of the normal force that prevents the cart from going through the track? Answer in newtons, and to the fourth decimal place. Use g = 9.81 m/s2.
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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