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Starting from the formula r.. = -μ(r/γ3) show by differentiation that the quantity h =|r.|2/2- μ/γ is a constant. It is useful to recall that |r.|2= r..r.. You will need to use your calculus skills to find an expression for the derivative of 1/r with respect to time t, after which the fact that γγ.= r.r. is likely to be useful.
A 9.88-kg monkey is hanging by one arm from a branch and swinging on a vertical circle. Find the magnitude of the tension in the monkey's arm
What must be the mass m2 of the hanging block if it is to descend 11.0m in the first 3.00s after the system is released from rest
Two springs with spring constants k1 and k2are put together end-to-end. Let x1 be the amount by which thefirst spring is stretched relative to its equilibrium length, andsimilarly for x2.
a soccer ball is kicked simultaneously by bryan and anthony. bryon kicks with 700 N force to the west while anthony kicks with 800 N force to the north. calculate the net force acting on the ball
A railroad car of mass 2.1 104 kg moving at 2.50 m/s collides and couples with two coupled railroad cars, What is the speed of the three coupled cars after the collision
A rocket is fired at a speed of 59.0 m/s from ground level, at an angle of 35.0 ° above the horizontal. The rocket is fired toward an 11.7-m high wall, which is located 21.0 m away.
A 72.8 kg skier encounters a dip in the snow's surface that has a circular cross section with radius of curvature of = 12.9 m. find the normal force exerted by the snow on the skier
A deep-space vehicle moves away from the Earth with a speed of 0.885c. An astronaut on the vehicle measures a time interval of 2.80 s to rotate her body through 1.00 rev as she floats in the vehicle. What time interval is required for this rotation a..
A spacecraft flies in the horizontal direction at a speed of v=0.980c, What is the slope angle to an astronaut on the spacecraft
Assuming that the mass of the planet is distributed with spherical symmetry, what is its mass.
A projectile is fired such that its horizontal range is equal to 2.0 times its maximum height. Find the angle the projectile was fired at
In a binary star system, two stars have elliptical orbits about the center of mass of the system. what is the change in the gravitational potential energy of the system
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