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Q. A model rocket is launched straight upward. Its altitude y as a function of time is given by y = bt -ct2, where b = 82 m/s, c = 4.9 m/s2, t is the time in seconds, and y is in meters, (a) Use differentiation to find a general expression for the rocket's velocity as a function of time, (b) When is the velocity zero?
Q. layer of oil (n = 1.45) floats on an unknown liquid. A ray of light shines from the oil into the unknown liquid. The angles of incidence and refraction are, respectively, 65.0° and 56.0°. What is the index of refraction of the unknown liquid?
Find out the magnitude and direction of the displacement
What is the new acceleration of box
Find the typical speed for a tsunami. (Note down that in the open ocean, tsunamis generally have amplitude of less than a meter, allowing them to pass ships unnoticed. As they approach shore, however, water depth decreases and the waves slow down. Th..
A series RLC circuit with L = 15 mH, C = 3.1 F, and R = 4.7 is driven by a generator with a maximum emf of 120 V and a variable angular frequency 8700. Find out phase angle (in degrees).
A lighthouse that rises 49 above the surface of water sits on a rocky cliff that extends 19 from its base. A sailor on the deck of a ship sights the top of the lighthouse at the angle of 30.0 above the horizontal.
What centripetal force does an 80-kg passenger experience when seated 12 m from the center of the Ferris wheel whose angular speed is 0.50 rad/s.
An airplane starting from airport A flies 280 km east, then 365 km at 29.0° west of north, and then 130 km north to arrive finally at airport B.
A golf ball strikes a hard, smooth floor at an angle of θ = 31.6°, rebounds at the same angle. The mass of the ball is 0.043 kg, and its speed is 45m/s just before and after striking the floor. What is the magnitude of impulse applied to the golf bal..
A sample of animal bone unearthed at an archaeological site is found to hold 173 grams of carbon and the decay rate of 14-C in the sample is measured to be 8.10 Bq. How old is the bone.
Find the Youngs modulus for the muscle tissue
A gymnast of mass 56.0 {rm kg} hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81 {rm m/s^2} for the acceleration of gravity.
A tank is in the shape of an inverted cone, having height h = 2.50 m and base radius r = 0.750 m. If water is poured into the tank at a rate of 15 L/s, how long would it take to fill the tank.
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