Question

Стальной шар, падая без начальной скорости, с некоторой высоты имел у поверхности земли скорость 50м/c. За время полета шара его температура повысилась на 5 градусов. С какой высоты упал шар, если известно, что на нагревание шара пошло 50% потери его механической энергии

Answer 1

Calculation of the Height from which the Steel Ball Fell

To determine the height from which the steel ball fell, we can use the principle of conservation of mechanical energy. The mechanical energy of the ball is converted into both kinetic energy and thermal energy during its fall.

Let's denote the initial velocity of the ball as v0 and the final velocity just before hitting the ground as vf. The change in kinetic energy of the ball is given by:

ΔKE = KEf - KE0

Since the ball starts from rest, the initial kinetic energy (KE0) is zero. The final kinetic energy (KEf) is given by:

KEf = (1/2)mvf^2

where m is the mass of the ball.

The change in mechanical energy is equal to the work done by non-conservative forces, which in this case is the conversion of mechanical energy into thermal energy. Let's denote the change in mechanical energy as ΔE and the change in temperature as ΔT. The relationship between these