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Two fixed circular rings, in contact with each other, stand in a vertical plane. A ball bounces elastically back and forth between the rings as in Figure 4.33. Assume that initial conditions have been set up so that the ball's motion forever lies in one parabola. Let this parabola hit the rings at an angle ? from the horizontal. Show that if you want the magnitude of the change in the horizontal component of the ball's momentum at each bounce to be maximum, then you should pick cos ? = (v 5 - 1)/2, which just happens to be the inverse of the golden ratio
Your 85-kg friend (modeled in the picture as a box) is a window-washer and leans a ladder against a large frictionless window. What is the force from the wall on the ladder
The approximate distance between the Earth and the Sun is 1.5 x 1011 in m. Calculate the average speed of the Earth in its orbit in kilometers per second
A block of mass m = 5.5 kg is pulled up a ? = 26° incline as in the figure with a force of magnitude F = 37 N. Find the acceleration of the block if the incline is frictionless
Determine the location of the center of mass of the molecule as measured from the hydrogen atom (Chlorine is 35 times more massive than hydrogen.).
A 0.710 m long solenoid is formed by wrapping 450 turns of wire around a hollow cylinder with a radius of 0.280 m. Calculate the energy stored in the field
An ideal engine has an efficiency of 0.605 and uses gas from a hot reservoir at a temperature of 502 K. What is the temperature of the cold reservoir
A person is performing a knee extension exercise with a 100 N weight acting at the ankle. What is the torque at the knee necessary to maintain a knee joint angle of -60q relative to the right horizontal passing through the knee joint
a rock climber throws a small first aid kit to another climber who is higher up the mountain. the initial velocity of
a double-slit interference experiment is performed using blue light from a hydrogen discharge tube 486 nm. the
At some point in its trajectory a ballistic missile (ICBM) of massm breaks into three fragments of mass m/3 each. Find the initial speeds of the latter two fragments in terms of v0
A 4.7mH toroidal inductor has 135 identical equally spaced coils. find how much magnetic flux passes through each of its coils
Light shines during a single slit whose width is 8.60 10-4 m. A diffraction pattern is formed on a flat screen located 4.0 m away. The distance among the middle of the central bright fringe and the first dark fringe is 4.75 mm. What is the wavelength..
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