HX W – 4 PROBLEM SET – Basic Projectile Math , Gears amp; Levers , Behavior of Water at 1 atm ( ten answers 1 . ( Projectile Math ) A battleship…

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HX W – 4PROBLEM SET – Basic Projectile Math , Gears &amp; Levers , Behavior of Water at 1 atm ( ten answers 1 .( Projectile Math ) A battleship maneuvers to within 2. 49 km of an island’s 1. 79 km high mountain peak . It fires aprojectile at an enemy ship which is 61.1 meters on the other side of the island’s peak ( as illustrated in thefigure ) . The battleship’s big gun is able to fire projectiles with an initial velocity of 243 m /s . If the ship fires theprojectile at an initial angle of 71.0′ above the horizontal water surface ,A) How many meters from the enemy ship does the projectile land ? AndB ) By how many meters does the projectile clear the peak ?`1790 m2480 TO -2 .Oil mNote : Figure to not draws to scale( Gear Ratios ) In a two-gear torque multiplier , a small gear of diameter 5. Ocm drives a large gear of diameterunits of RPM .30 . Ocm . If the small wheel turns at 150 rad / sec , at what rate of rotation does the big wheel turn ? Answer in3 .( Levers ) If 15 . Oft long &quot; first class&quot; lever is used to move a heavy one-hundred lbf stone , and you place the|4 .fulcrum 3. 0 ft from the rock , what force ( in 16f ) must be applied to the other end of the lever to move the rock ?( Water ) A 0 . 200 kg block of ice at – 20. 0′ C will have to be raised to O. O’C before it can begin to melt . What is the5 .heat energy in kilojoules required for this task ?( Water ) A 0 . 200 kg block of ice initially at 0. 0’C entirely melts into liquid form . How much energy in kilojoules isrequired to melt the full block of ice ?6 .( Water ) 0 . 200 kg of liquid water is contained in a beaker at 0. 0′ C . The water will absorb heat in its liquid stateuntil it reaches 100. 0’C. How much heat energy in kilojoules is this beaker of liquid water able to absorb ?&quot;ENGINEERING APPLICATIONS7 .( Mechanical Advantage ) Your military Hummer small transport vehicle is stuck in a mud hole with a deadbattery . This is not your best day . But remembering your engineering studies , you manually pull out the wenchcable and secure it tautly around a large tree 12 yards ( about 1 1m ) from the vehicle , and you pull on it sidewaysat the midpoint as in the figure . Calculate the pounds-force that the cable is exerting on the car when you havepulled the cable to an angle of only 3.50 by exerting a force of only 381 N ( about 85 16f ) and the stuck vehicle has381 N 3 . 5%- 11 191 -not moved yet . Answer in units of pounds-force .8 .( Water) Fire is a dangerous event on an oil tanker because of the very high BTU energy released when crude oilburns . Burning one gallon of crude oil releases 138, 000 BTU of heat energy . Water-dowsing , fire safety vessels.can deliver great sums of liquid water 20. 0’C to a burning vessel .Calculate the A ) MASS ( short tons ) and B ) VOLUME ( U. S. 8all of this store of liquid water it would take to absorb*the heat energy contained is one thousand gallons of crude oil . Let the water-temperature range for water -dowsing process be + 20. 0 0C &lt; T&lt; + 300. 0 0C.NOTE : specific heat capacities and latent heats for waterCice = 2. 090 *9: 0 0L fusion = 334 ~`Cwater = 4 . 186 }8:0 0L. vaporization = 2256 *_

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