A merry-go-round has a small box placed on it at a distance 'R' from its axis of rotation. Initially (at time = 0), the
Posted: Thu Jul 07, 2022 2:09 pm
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A merry-go-round has a small box placed on it at a distance 'R' from its axis of rotation. Initially (at time = 0), the merry- go-round is stationary. At time t = 0.0, a constant torque of 5 Nm is applied to it, causing it to start rotating. As the merry-go-round spins faster, a point comes when the small box slides off of it. Given the following data, calculate the time after it starts spinning, that the box will slip off the disk. Assume that the merry-go-round is a solid disc. Write your answer in seconds. Mass of the merry-go-round (disk) = 30.0 kg. Radius of the merry-go-round = 3.9 m Distance from the axis where the box is placed = R = 1.4 m Coefficient of friction between merry-go-round and box: Static = 0.5, kinetic = 0.3. Mass of the box= 0.4 kg.
An aluminum calorimeter of mass 63 g, has 166 g water, both at a temperature of 21.8°C. A 152-g piece of Copper originally kept in boiling water (T = 100°C) is transferred to the calorimeter. Calculate the final equilibrium temperature of the mixture in °C. Specific Heats: Al = 900 J/kg, water =4186 J/g, Cu = 387 J/kg.
A crate of mass 7 kg is initially at rest on an inclined plane at the point 'A! It is then pulled up the incline by a constant force F = 99 N, which is parallel to the incline. The coefficient of friction between the crate and the inclined plane is 0.19, and the angle of incline is 30°. The point 'B' is L = 2.1 m from the point 'A: Calculate a) the work done by the force to pull the crate from 'A' to 'B' b) the kinetic energy of the crate when it crosses the point 'B'. Write the kinetic energy as your answer in canvas.
Determine the minimum area (in square meters) of a flat ice floe 1.1 meter thick if it is to support a 2,462 kg car above seawater. (Pice = 920 kg/m³, Psea = 1020 kg/m³.). The ice floe may be completely submerged but the car must be completely outside water.
A container of volume 4 m³ holds M = 44 grams of helium gas at 103°C. Assume that helium behaves as an ideal gas. Calculate the: a) total kinetic energy of the system, and b) the average energy per molecule. In canvas, write the answer for the total kinetic energy in terms of kilo-joules. Helium is a monoatomic gas. Each atom has two protons and two neutrons.