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Assume the mass density of Earth from the center to r= R_cm (radius of the core mantle boundary) is d_cm and from R_cm until the surface r=R_e the density is d_e.
Using these densities, determine the gravitational potential energy of the Earth. Assume R_cm= R_e/2
Compare your results with the simpler case of constant mass density.
A 100-W lightbulb has a resistance of about 12 ? when cold (20 ?C) and 140? when on (hot). Estimate the temperature of the filament
Two point charges are on the y-axis, one of magnitude 3.0 ? 10-9 C at the origin and a second of magnitude 6.0 ? 10-9 C at the point y = 25 cm
The second person, on the opposite side of the lock, pulls at an angle of 45o. Illustrate with what force should the second person pull so that the net force on the raft is in the forward direction?
A force of 7 pounds is required to hold a spring stretched 0.5 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length.
A 50.0-g object is attached to a horizontal spring, What is the velocity of the object when it is halfway to the equilibrium position if the surface is frictionless
Calculate the period of a satellite orbiting the Moon, 130km above the Moon's surface. Ignore effects of the Earth
What is the potential diffrence between two infinte parallel plates seperated by a distance d with uniform surface charge densities +s and -s, what is the voltage at positive infinity
A cylinder is rolling along the ground without the slipping at 7m/s. It comes to a hill and begins going up. Assume no losses to friction, how high vertically would it go before it stops?
Estimate the thickness of lead shielding needed to reduce the exposure rate 2.5 m from a 5.92x10^11 Bq point source of Cs-137 to 1.0 mR/hr.
After falling from rest from a height of 35 m, a 0.58-kg ball rebounds upward, reaching the height of 26 m. If the contact between ball and ground lasted 2.5 ms, what average force was exerted on ball.
A photoflash unit makes a very bright light for a very short time, Which is important: the intensity of the light, or the product of the intensity and the time of the flash
At t = 0, a particle leaves the origin with a velocity of 9 m/s in the positive y direction and moves in xy plane with a constant acceleration of (-2 i -4 j) m/s2. At t = 1 s, what is the velocity of particle in the x direction.
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