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Question
1. A runner is running on a circular track that is 200 m in circumference. Find out the magnitude of his acceleration in m/s2 when he is running at a constant speed of 8.0 m/s.
2. A 529 kg automobile slides across an icy street at a speed of 66.0 km/h and collides with a parked car that has a mass of 856 kg. The two cars lock up and slide together. What is the speed of two cars just after they collide?
3. A ball with mass 3.5 kg is thrown horizontally with a velocity of 6.9 m/s at a cart of mass 21.3 kg. The ball bounces back with a velocity of -2.971 m/s. The collision is not elastic. Friction between cart and road surface can be neglected. What is the final velocity of the cart?
4. A 230 kg satellite is orbiting on a circular orbit 6870 km above the Earth's surface. Find out the speed of the satellite. (The mass of the Earth is 5.98×1024 kg, and radius of the Earth is 6370 km.)
5. A mechanic can exert the most force of 26 N. He has a wrench of length 0.8 m. What is the greatest torque he can concern to a bolt using that wrench?
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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