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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.
You throw a ball straight into the air from a height of 4 feet and with a speed of 5.02 m/s, How far are you from the ball, the moment it hits the ground
Consider the following two-step process. Heat is allowed to flow out of an ideal gas at constant volume so that its pressure drops from P1 = 2.5atm to P2 = 1.3atm, Calculate the total heat flow into or out of the gas
One end of a horizontal rope is attached to a prong of an electrically driven tuning fork that vibrates at a frequency 125Hz, What is the speed of a transverse wave on the rope
A 16.0-? resistor, a 12.0-µF capacitor, and a 17.0-mH inductor are connected in series with a 170-V generator. What is the maximum value of the rms current?
At the start of a race, a four-man bobsled team pushes their sled as fast as they can along a 50 m flat starting stretch. What is the speed of the sled right before the team jumps on the sled
On a typical mission, the Space Shuttle (m = 2.00 106 kg) orbits at an altitude of 250 km above the Earth's surface. Find the speed of the shuttle in its orbit.
In the experiment you will observe well defined "bumps" in the string, and you will measure their length. What is the relation between this length and the wavelength of the wave
If a 120g mass was placed at the 25cm mark, and a 20 g mass at the 12 cm mark, where must a 500 g mass be placed to balance the system?
A 47 g golf ball is driven from the tee with an initial speed of 50.0 m/s and rises to a height of 24.8 m.
The power needed to operate your body is about 100 {rm watts}. Suppose your body could run on fusion power and could convert a total of 0.7 of its mass into energy. How much energy would be available through fusion? Assume the mass is 70kg.
A series RCL circuit contains a 48.0-? resistor, a 2.70-?F capacitor, and a 3.75-mH inductor. When the frequency is 2590 Hz, what is the power factor of the circuit
Starting from rest, a 40 kg body reaches a speed of 8.0m/s in 2s. Calculate the force acting on the body?
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