Question

1. Написать по правилам Паскаля выражение, значением которого является: а) периметр квадрата, площадь которого равна а; б) площадь равностороннего треугольника, периметр которого равен р; в) работа силы тяжести при перемещении тела массы m на расстояние s. Угол между вектором силы тяжести и направлением перемещения равен alfa.

Answer 1

1) S:=a*a 
2) S:=sqr(p/3)*0,5*(sqrt(3)/2)
3)A:=10*m*s*cos(alfa)

Answer 2

Writing Expressions in Pascal

To write expressions in Pascal, we can use the following formulas:

a) Perimeter of a Square with Area a: The perimeter of a square with area a can be calculated using the formula: P = 4 * sqrt(a).

b) Area of an Equilateral Triangle with Perimeter p: The area of an equilateral triangle with perimeter p can be calculated using the formula: S = (p^2 * sqrt(3)) / 36.

c) Work Done by Gravity on an Object of Mass m Over a Distance s at an Angle α: The work done by gravity on an object of mass m over a distance s at an angle α can be calculated using the formula: W = m * g * s * cos(α).

Let's put these formulas into Pascal expressions:

a) Perimeter of a Square with Area a: ```pascal P := 4 * sqrt(a); ```

b) Area of an Equilateral Triangle with Perimeter p: ```pascal S := (p * p * sqrt(3)) / 36; ```

c) Work Done by Gravity on an Object of Mass m Over a Distance s at an Angle α: ```pascal W := m * g * s * cos(α); ```

These Pascal expressions can be used to calculate the perimeter of a square with a given area, the area of an equilateral triangle with a given perimeter, and the work done by gravity on an object over a distance at a specific angle.

I hope this helps! If you have any further questions, feel free to ask.