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A 5.8 m diameter merry-go-round is rotating freely with an angular velocity of 0.90 rad/s. Its total moment of inertia is 1850 kg·m2. Four people standing on the ground, each of 50 kg mass, suddenly step radially onto the edge of the merry-go-round. What is the angular velocity of the merry-go-round now?
A car is being pulled out of the mud by two forces that are applied by the two ropes shown in the drawing. The dashed line in the drawing bisects the 30.0° angle.
A tiger leaps horizontally from a 5.90 m high rock with a speed of 4.10 m/s. How far from the base of the rock will she land.
A wheel 2.25 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 3.50 rad/s2, find the angular position of the point P
Two point charges are on the y-axis. A 6.0 µC charge is located at y = 1.35 cm, and a -2.20 µC charge is located at y = -1.00 cm. (a) Find the total electric potential at the origin. (b) Find the total electric potential at the point having coordi..
A man is running at speed c (much less than the speed of light) to catch a bus already at a stop. At t=0, while he is a distance b from the door to the bus, the bus starts moving with the positive acceleration a.
A 3 kg block moves down a hill that makes a 40° angle with the horizontal direction. Ignoring friction and assuming g=10 m/s2, what is the magnitude of the acceleration of the block?
Two protons, each having a speed of 0.970c in the laboratory, are moving toward each other. Determine the momentum of each proton in the laboratory
Consider Iron asteroid (density 7900 kg/m^3) shaped like a cylinder 5.0 km long and 3.0 km in diameter, How much fuel is required to spin up the asteroid
A microphone is located on the line connecting two speakers that are 0.514 m apart and oscillating 180° out of phase. The microphone is 2.17 m from the midpoint of the two speakers.
Suppose that the aluminum cup inside a calorimeter has a mass of 48 g and contains 84 g of water. Both the cup and water are initially at a temperature of 5.6 degrees C, what is your best estimate of the specific heat of the aluminum
A 23 g ice cube at -4.6 oC is place in an aluminum cup whose initial temperature is 80.56 oC. What is the mass in grams of the cup
Find out the angle between the filter's polarizing axis and the direction of polarization of light necessary to increase the ratio of the clouds' intensity to that of blue sky so that it is three times the normal value.
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