Question

Question #384a4

Answer 1

The reactive force exerted on the body will be equal to 25 N.

Explanation:

An equilateral triangle has all three internal angles equal to `60^@`.

This means that, regardless on which side your triangle stands on, its other two sides will form `60^@` angles with the horizontal.

Either side of the triangle will thus be equivalent to an inclined plane

The normal force exerted on the body will be equal to

`N = mg * cos(theta)`, where

`m` - the mass of the body;
`g` - the gravitational acceleration;
`theta` - the angle formed by the inclined plane with the horizontal.

Plug your values into the above equation and solve for `N` (assume `g` to be equal to `10"m/s"^2`)

`N = "5 kg" * 10"m"/"s"^2 * cos(60^@)`

`N = 50 underbrace(("kg" * "m")/"s"^2)_(color(blue)("=Newton")) * 1/2 = color(green)("25 N")`