Лезвие конька толщиной 2 мм имеет длину 200 мм. Лыжа длиной 2 м имеет ширину 5 см. Во сколько раз
уменьшится величина давления на лед, если спортсмен снимет коньки и станет на лыжи? ПОЖАЛУЙСТА ПОЛНОЕ РЕШЕНИЕ С ОФОРМЛЕНИЕМОтветы на вопрос
Ответ:
в 250 раз
Объяснение:
Дано: толщина конька=2мм, длина=200мм ; длина лыжи=2м, ширина=5см
Переведём всё в метры
2мм=0,002м 5см=0,05м
200мм=0,2м
1) Найдём площадь коньков
2мм×200мм=0,002м×0,2м=0,0004м²
2) Найдём площадь лыж
5см×2м=0,05×2=0,1м²
3) Делим площадь 2) на 1)
0,1м²÷0,0004м²=250
Надеюсь, всё правильно и понятно)
Problem Analysis
To solve this problem, we need to calculate the difference in pressure on the ice when a skater removes their skates and stands on skis. We are given the following information: - The thickness of the skate blade is 2 mm. - The length of the skate blade is 200 mm. - The length of the ski is 2 m. - The width of the ski is 5 cm.Solution
To find the difference in pressure, we need to compare the pressure exerted by the skater on the ice when wearing skates to the pressure exerted when standing on skis.Let's start by calculating the area of contact between the skate blade and the ice. The area of contact can be calculated by multiplying the length of the skate blade by the width of the skate blade.
The area of contact between the skate blade and the ice is: Area_skate = length_skate x width_skate
Next, let's calculate the area of contact between the ski and the ice. The area of contact can be calculated by multiplying the length of the ski by the width of the ski.
The area of contact between the ski and the ice is: Area_ski = length_ski x width_ski
Now, let's calculate the pressure exerted by the skater on the ice when wearing skates. The pressure can be calculated by dividing the force exerted by the skater by the area of contact between the skate blade and the ice.
The pressure exerted by the skater on the ice when wearing skates is: Pressure_skate = Force_skater / Area_skate
Similarly, let's calculate the pressure exerted by the skater on the ice when standing on skis. The pressure can be calculated by dividing the force exerted by the skater by the area of contact between the ski and the ice.
The pressure exerted by the skater on the ice when standing on skis is: Pressure_ski = Force_skater / Area_ski
Finally, let's calculate the ratio of the pressure exerted when wearing skates to the pressure exerted when standing on skis. This can be calculated by dividing the pressure when wearing skates by the pressure when standing on skis.
The ratio of the pressure when wearing skates to the pressure when standing on skis is: Pressure_ratio = Pressure_skate / Pressure_ski
Calculation
Let's substitute the given values into the equations and calculate the pressure ratio.Given values: - Thickness of skate blade = 2 mm = 0.2 cm - Length of skate blade = 200 mm = 20 cm - Length of ski = 2 m = 200 cm - Width of ski = 5 cm
Calculations: - Area_skate = 20 cm x 0.2 cm = 4 cm^2 - Area_ski = 200 cm x 5 cm = 1000 cm^2 - Pressure_ratio = Pressure_skate / Pressure_ski
Answer
To find the difference in pressure on the ice, we need to calculate the pressure ratio. However, we don't have enough information to calculate the force exerted by the skater. Without the force value, we cannot determine the pressure ratio. Therefore, we cannot provide a complete solution to this problem without the force exerted by the skater.If you have any additional information or if there is anything else I can help you with, please let me know!
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