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A spring with spring constant k stands vertically, and a massm is placed on top of it. The mass is gradually lowered toits equilibrium position. With the spring held at thiscompression length, the system is rotated to a horizontalposition. The left end of spring is attached to a wall, andthe mass is placed on a table with coefficient of kinentic frictionμ = 1/8. The mass is released.
(a) what is the initial compression of the spring?
(b) How much does the maximal stretch (or compression) of thespring decrease after each half-oscillation?
(c) How many times does the mass oscillate back and forthbefore coming to rest?
An insect with many legs is scuttling across the floor. Assume that each leg pushes with the same force at exaclty the same spot. What is the insects acceleration in terms of gravity
A 2kg package is released on a 53.1 degree incline, 4m from a long spring with force constant 120 n/m that is attached to the bottom of the incline. What is the maximum compression of the spring
A patient recovering from surgery is being given fluid intravenously. The fluid has a density of 1040 kg/m3, and 9.54 10-4 m3 of it flows into the patient every five hours. Find the mass flow rate in kg/s
(a) Determine the distance of the final image relative to the converging lens. (b) What is the height of the final image (including the proper algebraic sign)?
A carnot engine operates between a hot reservoir at 47C and a cold one at -13C. If the engine absorbs 500J as heat per cycle at the hot reservoir, how much work per cycle does it deliver
A train traveling at v0 = 28.0 m/s begins to brake by applying a velocity-dependent instantaneous acceleration a(v) = ? /(v+u) m/s^2, Determine the distance traveled by the train until it comes to a complete stop
a wheel of perimeter 220 cm rolls on a level road at a speed of 9 km/hr how many revolutions does the wheel make per second
A car of mass 920.0 kg accelerates away from an intersection on a horizontal road. When the car speed is 41.0 km/hr (11.4 m/s), Calculate the acceleration of the car at that time
A long uniform rod of mass 4kg and length 2m is suspended by a frictionless pivot at its top end from the ceiling. What is the amplitude (in degrees) and period of the subsequent pendular motion of the rod/blob system
In February 1955, a paratrooper fell 1200 ft from an airplanewithout being able to open his chute but happened to land in snow, What is the minimum depth of snow that wouldhave stopped him safely
Calculate the labour price (rate) variances for each worker level. b. Compute the labour efficiency variances for each worker level. c. Compute the labour mix variances for each worker level.
Two plastic spheres, each carrying charge uniformly distributed throughout its interior, are initially placed in contact and then released. Find the maximum speed achieved by the sphere
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