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The height of an empty can is H, and the mass M. The mass of a full can is m. A small hole is made on the top and bottom of the full can (doesn't affect the location of the mass center). Soda flows slowly out of the full can.
a) What is the center of mass of the can as a function of x? h is the height from the bottom to the surface. and
b) with what value of x is the height of the center of mass the smallest?
A small ball of mass 50 g is suspended from a string of length 66-cm and whirled in a circle lying in the horizontal plane. If the string makes an angle of 21? with the vertical, find the centripetal force experienced by ball. The acceleration of ..
A microscope has a 12.0 x eyepiece and a 59.0 objective lens 20.0 cm apart. Calculate (a) the total magnification, (b) the focal length of each lens, and (c) where the object must be for a normal relaxed eye to see it in focus?
A person who weighs 68 kg steps onto a spring scale in the bathroom, and spring compresses by 0.79cm. (a) what is the spring constant? (b) What is the weight of another person who compresses the spring by 0.34cm.
A copper wire is 10.00 m long and has a cross-sectional area of 1.00 x10-4 m2. This wire forms a one turn loop in the shape of a square and is then connected to the battery that applies a potential difference of 0.200 V.
Visitors at a science museum are invited to sit in a chair to right of a full-length diverging lens (f1 = -3.06 m) and observe a friend sitting in a second chair, 1.84m to the left of the lens.
The pulley is located so that the string makes a 45 degree angle with the beam. The beam is uniform, 5 meters long, and has weight. The professor stands 2 meters from the pivot point and has weight.
Laboratory measurement examine that the normal wavelength of this spectral line is 486.133 nm. Is the star coming toward us or moving away from us? At what speed.
A 10 kg runaway grocery cart runs into a spring with spring constant 240N/m and compresses it by 65cm. What was the speed of the cart just before it hit the spring.
A spider of mass m is sitting in a perfectly symmetric web (in a vertical plane with 45 angles between the web lines), where Ti's denote the tensions along the lines that are connected to the spider at the center with i = 1, 2, 3, 4, 5, 6, 7, 8. The ..
Assuming that the total retarding force on the diver is constant at 55.0 N with the parachute closed and constant at 3600 N with the parachute open, what is speed of the diver while he lands on the ground.
An adult exerts a horizontal force on a sewing that is suspended by a rope of length L, holding it at an angle x with the vertical. The child in the swing has a weight W and dimensions that are negligible compared to L.
The vertical displacement of particles in a string (when a wave is propagating through it) is given by y = (0.02) sin[(10?)t - (8?)x], where everything is measured in standard units, meters and seconds. What is the amplitude of the wave?
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