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A small uniform solid sphere of mass m and radius r (I= (2/5)mr2) is at rest at point A. It is permitted to roll down the incline which ends in the circular path of radius R on which it continues to roll. Assume perfect rolling at all times. Find the normal forces Nb and Nt exerted on the sphere when it is at the bottom and the top of the circular path.
A tin can is filled with water to a depth of 38cm . A hole 20cm above the bottom of the can produces a stream of water that is directed at an angle of 30? above the horizontal. Find the maximum height of this stream of water
suppose that .12 mol of nitrogen gas in contact with a thermal reservoir that holds the temperature fixed at T0=9.8C has an initial volume of 1.3L and does 14J of work
A student is reading a lecture written on a blackboard. The lenses in her eyes have a refractive power of 69.40 diopters, How far (in meters) is the blackboard from her eyes
A plane sinusoidal electromagnetic wave has a magnetic field amplitude of 5 x 10^-5 T. What average force does this radiation exert on a totally reflecting surface of area 0.5 m^2
Assume the coefficient of static friction between the tires and the road on a car is 0.60 and the car has no negative lift. Evaluate what speed will put the car on the verge of sliding
A ten pound car wheel has a moment of inertia of 0.52 kg m2. How much torque is required to stop the wheel in 43.21 s?
In a Compton scattering experiment, an x-ray photon scatters through an angle of 21.0° from a free electron that is initially at rest. The electron recoils with a speed of 2,520 km/s.
Light in a transparent material (index of refraction 1.333) strikes the boundary with another transparent material (n = 1.010). compute the critical angle for total internal reflection
Assume that an inexpensive watch runs 0.004% slower than a "perfect watch" (viz., a "time standard") that neither loses nor gains time, what would the perfect watch measure for this time interval
Penny's eraser was accidentally dropped out of the window and falls into the street. The window is 9 m above the road. What is the speed of the eraser when it hits the floor
An electron moves with a speed of 8.0 × 106 meter per second along the +x-axis. When the electron passes through the origin, find the magnitude and direction of the magnetic field at a position of (0, 0, 5.00 cm)
Two identical diverging lenses are separated by 15 cm. The focal length of each lens is -8.0 cm. Determine the final image distance relative to the lens on the right
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