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Q1. A Federation star ship (2.0×10^6) uses its tractor beam to pull a shuttlecraft (2.20×10^4) aboard from a distance of 14km away. The tractor beam exerts a constant force of 40,000 N on the shuttlecraft. Both spacecraft are initially at rest. How far does star ship move as it pulls the shuttlecraft aboard?
Q2. A projectile is launched at some speed at an angle of 74 degrees and travels a range of 262 meters. The launch angle is after that changed, but the projectile is fired at the same speed as the original case and also travels the same range of 272 meters. Find the maximum vertical displacement at 74 degrees, (ymax1), and find out the maximum vertical displacement for the second angle (ymax2), and then find out the difference between them in meters (diff = ymax1 - ymax2).
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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