Question

A body of mass 5kg falls from a height of 30m. If all its mechanical energy is lost into heat, then the heat produced will be

(A) 350 cal

(B) 150 cal

(C) 60 cal

(D) 6 cal

Answer 1

The heat produced when a 5kg body falls from a 30m height and loses all its mechanical energy into heat is approximately 350 calories, making option (A) correct.

Step-by-step explanation:

The subject of the question revolves around the conversion of mechanical energy into heat energy when an object falls from a height. Given a mass of 5 kg and a fall from 30 meters, we can calculate the potential energy at the beginning which entirely converts into heat upon hitting the ground. The potential energy (PE) can be found using the formula PE = mgh, where m is mass, g is the acceleration due to gravity (9.8 m/s2), and h is the height from which the body falls. The heat produced can be calculated by converting from joules to calories (1 cal = 4.184 J). By doing the math, the amount of heat produced equals 1470 Joules, which is approximately 350 calories, making option (A) the correct answer.