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A planet of total mass M and radius R has a non-uniform density such that p(r) = po (1-r/R), where po is the density at the center. Determine the gravitational field g(r) at a point r ? R inside the planet. Hint: recall that the volume element for a sphere is dV=4?r^2dr.
A 500- kg ice boat moves on runners on essentially frictionless ice. A steady wind blows, What was the force due to the wind
Use the value of the Sun's luminosity (3.90×10^26 watts, or 3.90×10^26 joules per second) to calculate what mass of hydrogen the Sun will convert into helium during its entire main-sequence lifetime of 1.2×10^10 years.
An eagle is flying horizontally at a speed of 3.00 m/s when the fish in her talons wiggles loose and falls into the lake 5.00 m, Calculate the velocity of the fish relative to the water when it hits the water
A point moves along the x-axis with its position, x, at time t given by x(t) = t3 - 3t2 + 2t - 1. Which of the following is the acceleration when t = 2?
A steady current 1.5 amps flows in a wire out of the page. A small +4 uc point charge is 5 can away from wire, What is the magnetic force acting in the charge
Find the equivalent resistance of two resistors connected in parallel if one is 0.5 ohm and the other 0.33 ohm, what current will flow through the 10-ohm resistor
A 10.0-uF capacitor, a 40.0-uF capacitor, and a 100.0-uF capacitor are connected in parallel across a 12.0v battery. what is the equivalent capacitance of the combination
Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial speed of 22 m/s at an angle 63 degrees, What is the horizontal and vertical component of the balls
It is desired to magnify reading material by a factor of 3.0× when a book is placed 8.5cm behind a lens, determine the power of the lens in diopters
If they are released from rest and allowed to fall toward one another, what is their speed when they first make contact?
The objective lens in a microscope with a 21.0 cm long tube has a magnification of -50.0 and the eyepiece has a magnification of 15.0. What is the focal length of the objective
A 13 g bullet traveling 217 m/s penetrates a 2 kg block of wood and emerges cleanly at 153 m/s. If the block is stationary on a frictionless surface when hit, how fast does it move after the bullet emerges.
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