A uniform, horizontal bar of length L = [L] m and mass [m1] kg is free to rotate about a vertical axis passing through its center. Two point spheres, each with a mass of [m2] kg, are attached to the two ends of the bar. Determine the moment of inertia of the system about the vertical rotation axis in kg·m².
Read DetailsA car driver collides with an airbag during a crash. The driver’s body, with a total mass of [m] kg, is moving at an initial speed of [v] m/s when it comes into contact with the airbag. The airbag brings the driver to rest over the time interval from 0 to t2. The figure shows the plot of the force magnitude exerted on the driver by the airbag as a function of time. t2 =[t2] × 10-2 s. Determine the maximum force Fmax in newtons (N).
Read DetailsBox A, moving at an initial velocity of vA = [vA] m/s, collides with box B, which is initially at rest. The masses of the boxes are mA = [mA] kg and mB = [mB] kg. The collision is completely inelastic so the boxes stick together. Determine the kinetic energy of the system immediately after the collision (in joules).
Read DetailsA cosmetic products company are producing 200 facial masks, this company incurs an average total cost of $1 per facial mask. The company’s marginal cost is constant at $0.80 for all facial masks produced. The total cost to produce 100 facial masks is
Read DetailsManuel like to spend his part of his monthly income on buying fitness membership and perfumes. Each fitness membership cost $25 per month, with marginal utility is 50.If his Marginal utility from buying perfumes is 160, how much it costs Manuel to buy each perfume?
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