Question

Какая масса снега падает с горы при снежной лавине, если лавиной совершается работа 3 МДж, а высота горы 500 м?Вентилятор мощьностью 400 Вт совершил работу 24 кДж. Какое время он работал?

Answer 1

A=mgh

m=A/gh

m=3000000:5000=600кг

 

 

A=Nt

t=A/N

t=24000:400=60с=1мин

Answer 2

Calculation of Snow Mass in an Avalanche

To calculate the mass of snow that falls during an avalanche, we need to use the work-energy principle. The work done by the avalanche is equal to the change in potential energy of the snow.

The work done by the avalanche is given as 3 MJ (megajoules), and the height of the mountain is 500 m.

Using the formula for potential energy, which is given by PE = mgh, where m is the mass of the snow, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height of the mountain, we can rearrange the formula to solve for mass:

m = PE / (gh)

Substituting the given values:

m = (3 MJ) / (9.8 m/s^2 * 500 m)

Calculating the mass:

m ≈ 612.24 kg

Therefore, approximately 612.24 kg of snow falls during the avalanche.