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Q1. A Federation star ship (2.0×10^6 kg) uses its tractor beam to pull a shuttlecraft (2.0×10^4 kg) aboard from a distance of 10.0 km away. The tractor beam exerts the constant force of 2.50 X 10^4N on the shuttlecraft. Both spacecraft are initially at rest. How far does the star ship move as it pulls the shuttlecraft aboard?
Q2. A rectangular swimming pool 60ft long, 10ft wide, and 16ft deep is filled with water to a depth of 13 ft. Use an integral to find the work necessary to pump all the water out over the top. (Take as the density of water delta = 62.4 hbox{lb/ft}^3.)
Speedboat A negotiates a curve whose radius is 118 m. Speedboat B negotiates a curve whose radius is 270 m. Each boat experiences the equivalent centripetal acceleration. What is the ratio vA/vB of the speeds of boats.
Find the change in internal energy using first law of thermodynamics.
A pipe with a 2m diameter carries water having a velocity of 4 m/s. What is the mass flow rate of the water in kg/s at the following temperatures.
Estimate the distance of GPS satellite from the ground.
Unpolarized light travels throughout 2 linear polarizers. What (minimum) angle should the second polarizer be relative to the first polarizer (the difference between q1 and q2) so that the final intensity of light is 1/3 original value.
A force vector points at an angle of 50.6° above the +x axis. It has a y component of +280 newtons. Calculate the magnitude of the force vector.
Illustrate the cause of the components accelerating from rest down the conveyor.
What is voltage difference between floor and hover-board
A projectile is fired with an initial speed v at an angle of 30 degrees above the horizontal from a height of 40meters above the ground. The projectile strikes the ground with a speed of 1.2v. Find v.
The flywheel of an engine has a moment of inertia 3.00 {rm kg} cdot {rm m} ^ {2} about its rotation axis. What is its final kinetic energy.
How many 104 W lightbulbs can you use in a 102 V circuit without tripping a 17 A circuit breaker? (The bulbs are connected in parallel that means that the potential difference across each lightbulb is 102 V.)
Which is safer as a road material
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