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1. On air track, a 2kg cart moving at 1m/s to the right collides with a 1kg cart moving at 3 m/s to the left. After the collision, the 2kg cart is moving at 2m/s to the left. What is the velocity and direction of the 1 kg cart after the collision 2. Two skaters stand face to face on ice. skater 1 has a mass of 40 kg and skater 2 has a mass of 50 kg. they push off one another and move in opposite direction. what is the ratio of skaters 1's speed to skater 2's speed? A) 1:1 B) 1:2 C) 4:5 D) 5:4 3.) A small rocket is fired into the air and lands 30m forward from the launch site. The rocket is fired at a second time at the same velocity and angle. This time the rocket splits into pieces at the peak of its motion. The first piece lands on the ground 27m from the launch site. Where would the second piece land, which is half the mass of the first piece?
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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