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To use the principle of work and energy to determine characteristics of a system of particles, including final velocities and positions. The two blocks shown have masses of m_A = 54 kg and m_B = 68 kg . The coefficient of kinetic friction between block A and the inclined plane is mu_k = 0.11 . The angle of the inclined plane is given by theta = 45. Neglect the weight of the rope and pulley. Part A - Normal Force Acting on Block A Determine the magnitudes of the normal force acting on block A, N_A. Part B - Velocity of the Blocks at a Given Position If both blocks are released from rest, determine the velocity of block B when it has moved through a distance of s = 2.00 m . Express your answer to two significant figures and include the appropriate units. Part C - Position of the Blocks at a Given Velocity If both blocks are released from rest, determine how far block A has moved up the incline when the velocity of block B is (v_B)_2 = 5.50 m/s
A model of a submarine, at 1:15 scale, is to be tested at 0.8 ft/s in a wind tunnel at standard at mospheric pressure, while the prototype will be operated in seawater. Both the air and water are at 10 C (50 F).
Maximum dry unit weight was found to be 114lb/ft^3 at a water content of 13.5% in labratory tests. Results of a field unit weight test were dry unit weight=111lb/ft^3 and a water content 11%.
The rate constant for decay of contaminant A in the reservoir is k=1.5 (1/year). Assuming the population, discharge rate, and reservoir conditions have been stable for a long time, estimate the concentration of A in the reservoir.
The long-term average January precipitation in the Colorado River basin is 1.11 inches, with a standard deviation of 0.60 inches. Assuming a normal distribution, what is the probability that less than 0.5 inches of precipitation will occur in any ..
An asphalt mixture is placed and compacted. Two tests are taken from the compacted mixture and checked for density. Core 1 had a density of 2403 kg/m3 and an air void content of 6.5%. Core 2 had a density of 2419 kg/m3.
The cables A and B exert forces FA and FB on the hook. The magnitude of FA is 100 lb. The tension in cable B has been adjusted so that the resultant of the two forces is oriented perpendicular to the wall to which the hook is attached.
A tray rests on an extendible arm consisting of two steel tubes with two different outer diameters. The downward force at the tray center F0 = 1000 N. Determine the downward deflection of the tray center and the tilt angles of the tray about each ..
A particular soil has a total (moist) unit weight of 122 pcf and a dry unit weight of 101 pcf. The specific gravity of soil is 2.70. Calculate the water content and degree of saturation.
Your neighbor has the Bonda generator in the next problem and they have graciously extended a 100 foot extension cord to your home, which has a resistance of 0.0075 ohms per foot of wire (per lead). By how much is the delivered power reduced
Determine largest load P that can be applied without any cable exceeding its yield strength. Bar length in 10 ft with aluminum directly in the center and steel cables 5 feet on either side. Steel cable lengths are 8 ft and aluminum cable is 10 ft...
if a clay slope at a construction site fails derive an equation for the undrained shear strength of the clay given that the shear reistance along L of the slope can be given as: (SuH0)/ sin beta
Ammonium (NH4+) is a weak acid with a pKa of 9.26. The dissociation is: NH+4 NH3 + H+. Calculate the mass of ammonium added to 1 L of water in order to obtain a pH of 4 at equilibrium.
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