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In a football game, a receiver is standing still, having just caught a pass. Before he can move, a tackler, running at a velocity of +3.1 m/s, grabs him. The tackler holds onto the receiver, and the two move off together with a velocity of +1.6 m/s. The mass of the tackler is 130 kg. Assuming that momentum is conserved, find the mass of the receiver. 1 kg The lead female character in the movie Diamonds Are Forever is standing at the edge of an offshore oil rig. As she fires a gun, she is driven back over the edge and into the sea. Suppose the mass of a bullet is 0.012 kg, and its velocity is +727 m/s. Her mass (including the gun) is 56 kg.
(a) What recoil velocity does she acquire in response to a single shot from a stationary position, assuming that no external force keeps her in place? 1 m/s
(b) Under the same assumption, what would be her recoil velocity if, instead, she shoots a blank cartridge that ejects a mass of 5.0 10-4 kg at a velocity of +727 m/s? 2 m/s.
The average unit weight of this soil is 118 lb/ft^3, and the average moisture content is 9.6%. It also has a maximum dry unit weight of 122 lb/ft^3 and an optimum moisture content of 11.1%
The natural ground water table at a site is located at a depth of 2m below the ground water. Laboratory tests reveal that the voidratio of the soil is 0.85 while the grain size corresponding to 10%finer is 0.05 mm.
The frame is supported in part by normal and friction forces between the wall and the plate at A. Determine the friction force exerted on the plate at A. Also determine the minimum required coefficient of friction at A for the frame to remain in e..
A jet of water of diameter 75mm moving with a velocity of 25m/s strikes a fixed plates in such a way that the angle between the jet and plate is 60 find the force exerted by the jet on the plate.
Chemical ‘x' is regulated by EPA and the maximum allowable concentration in water is 10g/L. 1000 kg of chemical ‘x' is released in a lake (volume 1,000 m3) where it undergoes degradation as a first order reaction process
A soil sample with a water content of 14.5% and unit weight of 128.2 lb/cu. ft. was dried to a unit weight of 118.8 lb/cu. ft. without changing its void ratio. What is its new water content (in %)?
The pipe is connected to a 400mm diameter pipe by a concentric reducer, the gauge pressure at the entrance of the reducer is 3.00 bar and the the energy losses are neglected . Determine the restraining force.
An airport corridor is 30 ft wide. given a peak demand of 300 pedestrians per minute and an average walk speed of 3 ft/s, estimate the LOS at the corridor
The elevation of Y is 5265.879 ft. The elevation of X is required. Instrument at X: +S = 3.182,-S = 9.365,9.370, and 9.368. Instrument at Y: +S = 10.223; -S = 4.037,4.041, and 4.038. Find the elevation of X
A building frame is made with a 10" square steel box shape that has an area of 15 in^2 and a moment of inertia I =225 in^4. The frame consists of pinned supports at points A and F and an internal pin at point D.
A temporary flood wall has been constructed to protect several homes in the floodplain. the wall was built to withstand any discharge up to the 20-year period after all the homes have been relocated.
The Hubert H. Humphrey Metrodome in Minneapolis opened in 1982 at a cost of $55 million. To prepare for the footings, et cetera, 3.00x105 cubic yards of dirt were removed. The Metrodome's inflatable roof covers 10.0 acres and its interior volume i..
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