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A roughly spherical volume of rock 2.1 km in radius is 30% denser than the surrounding rock, whose density is 2900 kg/m3. The denser rock is centered 2.5 km below Earth's surface. By what percentage is the surface value of g directly above the denser rock increased due to its excess density? Hint: Treat the "extra" mass of the denser rock as a gravitating sphere, and calculate the gravitational acceleration it produces at Earth's surface.
A long thin rod lies along the x-axis. One end is at x=2.00 m and the other at x=4.00 m. Calculate mass of the rod
A 45.8-kg girl is standing on a 161-kg plank. Both originally at rest on a frozen lake that constitutes a frictionless, flat surface. What is the velocity of the plank relative to the ice surface
An airplane flies 200 km due west from city A to city B and after that 295 km in the direction of 26.5° north of west from city B to city C.
A stunt man drives a car at a speed of 20 m/s off a 35-m-high cliff. The road leading to the cliff is inclined upward at an angle of 20?, What is the car's impact speed
A building has two open doors facing the bay. The walls of the building absorb sound well, so multiple reflections can be ignored. Two people are standing a distance L = 150 m from the wall with the open doors, as pictured.
A cylinder of mass 8.0 kg rolls without slipping on a horizontal surface. At a certain instant its center of mass has a speed of 11.0 m/s. Determine the translational kinetic energy of its center of mass
What is the highest height reached by the rocket. what is its initial speed as it leaves the ground.
The plates of a parallel-plate capacitor have a separation of 4.70mm , and each has an area of 13.4cm^2 . what is the potential difference between the plates
A ship sets sail from Rotterdam, The Netherlands, What is the angle of the velocity of the ship relative to the earth in degrees north of east
Two solenoids of radii 2 cm and 5 cm are coaxial. They are each 25 cm long and have 380 and 960 turns, respectively. Find their mutual inductance in mH
An elevator car of mass 780 kg falls from rest 3.10 m, hits a buffer spring, and then travels an additional 0.390 m, What is the force constant of the spring
Find the wavelength of red light in glass if the index of refraction of glass is 1.66. Recall that the wavelength of red light in a vacuum is 700 nm
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