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Suppose that the Earth's orbit around the Sun is perfectly circular. At some instant in time the sun suddenly loses 1/4 of its mass (it just dissapears). Neglect the motion of the Sun.
a) Employing conservation arguments, find the value of the eccentricity e of the orbit.
b) Find the distance of closest approach (perihilion) of the new orbit in termsof the radius ro of the original circular orbit.
A student sits at rest on a piano stool that can rotate without friction. The moment of inertia of the student-stool system is 3.5 kg*m^2. Calculate the initial and final kinetic energy of the system
At what rate does the Sun radiate energy, given that it is essentially a spherical blackbody with 6.96x10^8m, Use appropriate astronomical data to find the solar radiation per unit area at Earth's orbit
A ball is thrown upward from the top of a building at an angle of 30.0° to the horizontal and with an initial speed of21.0m/s. Find the horizontal range of the ball
An ambulance has a siren of frequency 700 Hz. If the ambulance is moving at a speed of 60 miles per hour, what will be the frequency heard by a man standing on the sidewalk as the ambulance approaches him
You are in a hot air balloon (yes, another balloon problem!) rising from the ground at a constant velocity of 2.70 m/s upward. To celebrate the takeoff, you open a bottle of champagne, expelling the cork with a horizontal velocity of 4.00 m/s rela..
A drug prepared for a patient is tagged with 9943Tc, which has a half-life of 6.05 h. What is the decay constant of this isotope
The sinusoidal wave is traveling in the positive x-direction and has a frequency of 21.4 Hz. The wavelength is 10.4 cm, the amplitude is 4.13 cm, and the period is 0.047 seconds. What is the wave's speed?
A person in a rocking chair completes 15 cycles in 17s, What are the period of the rocking
To find out if the ball clears the crossbar, what is its height with respect to the crossbar when it reaches the plane of the crossbar?
A 0.6410-kg ice cube at -12.40°C is placed inside a chamber of steam at 365.0°C. Later, you notice that the ice cube has completely melted into a puddle of water.
In a purely inductive AC circuit, L=25.0 mH and the rms voltage is 150 V. Calculate the inductive reactance and the rms current in the circuit
It was a rainy day and the coefficient of friction was estimated to be 0.42. Use these data to determine the speed of the car while the driver slammed on (and locked) the brakes.
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