Question

An ingot of lead is dropped with an initial velocity of 14 ft/s.  When it hits the ground, its temperature has been increased by 0.25 ^oF. From what height was the ingot dropped (in ft)?  Neglect air resistance.  

Answer 1

Solution -

1. The mass was not given in question so taken as one kilograms and mass has no effect on the calculation as it will cancel on both right and left hand side of the energy equation.

2. The units have been converted into metric system and then answer we got in metres have been converted into feet for the sake of easy calculation. Reference for the conversion factors have been given in solution.

3. Temperature difference in degree Celsius and Kelvin remains same only absolute temperature in degree Celsius and Kelvin differ by 273 so keep this in mind as this concept is used in solution.

If you finds the solution crisp clear conceptual and easy to understand please give a good rating to solution and provide your valuable feedback in comment section.

Solution Images -

Note - All the values converted into metric unit and then final auswer is converted ento units used in the questions Given ) velocity of lead ingot (V) = luft/s 4.2672 m/s ) Temp 'mise of Png of (01) - 0.250F = 0.1389°C valve taken from references is Heat capacity of tead in (7/16g k) = 125. boy Since mass of lead ingot not given me assu 125.604 ML= 1kg. meowy - → Applying energy conservation - Intial Energy of lead ingot = Rinal Energy of ingot (k. E) Ingot + (P. E.) Ingot = Heat energy in ingot I my² + mgH = meat Heata as malig (assumed) equation reduces to-meat) 1 v ²+ 94- CAT take 92 9,81 m/s² 1 (4.2672) + 9.81(4) - 125.604 x 0.1389 Loto s 20.1389°c 9.1045 + 9.81(H) = 17.4464 9.814 = 8.3419 Ha 8.3419 -0.8503466 meter. 9.81 or 0.1389k a

LLLLL111111111 HP 0.8503466 merce Converting this distance into feet, wo get TH= 2.78985 feet | Ans:- The ingot has been dropped from herght of 2.78985 feel. Mote - © for conversion of metre ento feet multiply value in metre by 3.281 ② por connessiim of feet into mere divide the length en feet by 3.281. I foot = 0.305 metre. I meme = 3 feet 3.37 inches. Note- All above convesion what give approxinste. results, I used google convertor for the accurate conresion to higher places of decimal to maintain the highest possible. accuracy in auswer aus is best all the best Thank you student & 1199

Thank you student.?