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A model of Earth's interior: Look up the radius and mass of the Earth.
Radius is 6,371 km
Mass is 5.974 x 10^24 kg
Calculate its average density.
p_e = (5.974 x 10^24 kg)/ (4/3)pi r^3 = (5.974 x 10^24 kg)/ (4/3)pi (6371)^3 = 5.54 g/cm^3
Imagine a planet of the same radius made completely and uniformly out of an incompressible fluid such that its mass density is equal to the average density of the Earth.
Find how the acceleration of gravity depends on the distance from the center of the planet. Sketch a graph showing this dependence.
I know the dependence would be a straight line but i'm not sure how to prove in mathematically
Now, use the equation of hydrostatic equilibrium to find the pressure as a function of distance from the center. What is the pressure at the center of the planet?
A pilot claims to have seen a UFO moving initially at the speed of about 440 m/s in an easterly direction and then, in a tie interval of only 1.0s turning 45 degrees and moving souutheast at 440 m/s
How much ice was in bucket before the copper block.
A rifle with a weight of 25 N fires a 4.0-g bullet with a speed of 240 m/s. Find the recoil speed of the rifle
A 5 cm by 5 cm square loop of wire is rotating at 30 rpm in a uniform magnetic field of strength 3.0T. The direction of the field is perpendicular to the axis of rotation of the loop.
Find the smallest radius of an unbanked track around which a bicyclist can travel if her speed is 31 km/hand the μs between tires and track is 0.31
Two balls of mass 0.6 kg and 0.8 kg are connected by a low-mass spring. This device is thrown through the air with low speed, what is the total momentum of the device
A proton is confined to a nucleus that has a diameter of 8.3 × 10-15 m. what is the minimum uncertainty in its momentum
You produce an image of the Sun on a screen using a thin lens whose focal length is 28.3 cm. What is the diameter of the image in millimeters
the piston of a hydraulic automobile lift is 0.330m in diameter.part a what gauge pressure in pascals is required to
A 12-gram bullet is fired at 1600 m/sinto the wooden block of a ballistic pendulum, causing it to swingback, raising up 1.40 meters vertically. Find the mass of the block.
Two 12 kg blocks are fastened to the ceiling of an elevator asin figure P 4.15. The elevator accelerates upward at 3.00 m/ssqed. find the tension in the top rope. find the tension in the bottom rope.
The heat of vaporization of ethyl alcohol is about 200 cal/g. If 2.8kg of it were allowed to vaporize in the refrigerator, how many grams of ice would be formed from 0 °C water.
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