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A uniform rod, supported and pivoted at its midpoint, but initially at rest, has a mass of 83 g and a length 8 cm. A piece of clay with mass 35 g and velocity 2 m/s hits the very top of the rod, gets stuck and causes the clay-rod system to spin about the pivot point O at the center of the rod in a horizontal plane.
After the collisions the clay-rod system has an angular velocity ω about the pivot. With respect to the pivot point O, what is the magnitude of the initial angular momen-tum Li of the clay-rod system?
Mary runs off a diving board with a velocity of 1.7 m/s in the horizontal direction. If the water surface is 2 meters below the board: A. how long will it take for her to hit the water B. where will she hit the water C. With what velocity will she..
A point moves along the x-axis with its position, x, at time t given by x(t) = t3 - 3t2 + 2t - 1. Which of the following is the acceleration when t = 2?
A child of mass 24 kg sits 2.10m to the left of the center of a seesaw. The mass of the seesaw is 35 kg. How far to the right of the central pivot must a second child of mass 40 kg sit if the seesaw is to be perfectly balanced.
Density of Aluminium is 2.7g/cm3 or 2.7g/ml. How heavy (in grams) would be the coke can if instead of soda it would be filled in with aluminium? The volume of a soda can is 303 ml.
A scuba diver at a depth of 42.0 m below the surface of the sea off shores of Panama City, where the temperature is 7 °C, releases an air bubble with volume 18 cm3.
Find out the potential difference between a point.
A pipe open at one end has a fundamental frequency of 256 Hz. A second pipe,identical to first pipe, is shortened by cutting off a portion of the open end. When both pipes vibrate at their fundamental frequencies, a beat frequency of 12 Hz is heard..
How long would it take her to reach the bottom of the hill, assuming she starts from rest and accelerates uniformly, if the elevation change is 335m.
Compute the x-coordinate of the center of mass XCM. Suppose that the mass of the rod is small enough to be ignored in your calculation. Your answers must be accurate to within 0.1 cm.
Find the x and y components and the magnitude and direction of the electric field at the following points. Find the x and y components and the magnitude of the electric field at the origin.
A 9.05 kg projectile is fired vertically upward. Air drag decreases the mechanical energy of the projectile-Earth system by 77.5 kJ throughout the projectile's ascent. How much higher would the projectile have gone were air drag negligible.
A piece of string 5.30 m long has a mass of 15.5 g. What must the tension in the string be to make the wavelength of a 128 Hz wave 120.0 cm.
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