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At time t, a particle of mass m has a position vector position vector r = (a^2 + ß)ˆi + at^2ˆj where a and ß are constants. Find an expression for the linear (translational) velocity v =dr/dt of the particle at some time t.
An object falls off of a pier and into the ocean (sea water) where it displaces a total volume of 1.6 cubic meters of sea water. What is the buoyant force acting on the object
The image of a very distant car is located 35 cm behind a convex mirror. What is the radius of curvature of the mirror
A cart carrying a vertical missile launcher moves horizontally at the constant velocity of 30.1 to the right. It launches a rocket vertically upward. The missile has an initial vertical velocity of 40.33 relative to the cart.
A resistor with R = 2.4 k? is connected to an AC generator that operates at 60 Hz with an amplitude of 41 V. Find the amplitude of the current through the resistor
Consider a particle with positive charge q = 8.00 * 10^18 C moves with velocity v=(4i + 2j - k) m/s through a region, calculate the total force on the moving particle
The intensity of the electromagnetic radiation from the Sun when it reaches the Venus' surface is approximately 2600 W/m2. What is the amplitude of the associated magnetic field
A solid disk of mass m1 = 9.5 kg and radius R = 0.2 m is rotating with a constant angular velocity of ? = 31.0 rad/s. A thin rectangular rod with mass m2 = 3.4 kg and length L = 2R = 0.4 m begins at rest above the disk and is dropped on the disk w..
A 0.410 kg pendulum bob passes through the lowest part of its path at a speed of 3.13 m/s. What is the tension in the pendulum cable at this point if the pendulum is 76.2 cm long.
An athlete at the gym holds a 1.2 kg steel ball in his hand. His arm is 64 cm long and has a mass of 4.0 kg. Evaluate the magnitude of the torque about his shoulder if he holds his arm straight, but 30 degrees below horizontal?
A cell phone battery uses chemistry to create a charge separation between the terminals (anode and cathode). How many free electrons does the battery contain
what is the weight in newtons of a 12 kg dog?a trampoline accelerates a 50 kg jumper upward with an acceleration of 2
At large distances, a bar magnet acts like the magnetic dipole created by a current carrying loop. Imagine such a magnet is oriented as shown. What is the magnetic dipole moment of the bar
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