From what height did the lead ball fall without initial velocity if its temperature increased by DT = 10 K during the fall? Consider that 80% of the ball’s energy went into heating it. Neglect air resistance. Specific heat of lead c = 130 J / (kg * K)
When a lead ball moves, it has potential and kinetic energies. When the ball is at a height of 10 meters, it has potential energy, and its kinetic energy will be zero, since in the problem statement it is said that the ball moves without initial velocity.
П = m * g * h, where
m – body weight
h – the height from which the ball falls
g we take equal to 10
80% of the potential energy went to heating the ball, which means we get the following equality:
0.8 * m * g * h = c * m * t
we reduce the masses:
0.8 * g * h = c * t
h = (c * t) / (0.8 * g)
h = (130 * 10) / (0.8 * 10) = 162.5 m
Answer: the ball fell from a height of 162.5 meters
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.