Question

(PLEASE ANSWER + 10 POINTS!!)

Rhonda and Matt are pushing a crate across the floor of a warehouse. Rhonda applies a force of 297 newtons (N), while Matt applies a force of 394 N in a direction that is perpendicular to Rhonda's. The sum of these forces corresponds to the length of the hypotenuse of a triangle in the force diagram, as shown in the figure. What is the approximate total force, F?

A. 97 newtons

B. 259 newtons

C. 493 newtons

D. 691 newtons

Answer 1

a^2 + b^2 = c^2

297^2 + 394^2 = C^2

88209+155236=243445

take the square root of 243445

you get 493.4

which in your answer they're rounded

so your answer is

C. 493

Answer 2

Answer: C. 493 newtons

Explanation:

In the given picture, we have a right triangle in which the side opposite to the right angle is F (Hypotenuse of the right angle).

The other two sides are of 297 N and 394 N.

We know that Pythagoras theorem says that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Now by Pythagoras theorem we have,

`F^2=(297)^2+(394)^2\\\\\Rightarrow\ F^2=88209+155236=243445\\\\\Rightarrow\ F=√(243445)=493.40145926\approx493\ N`

Hence, the approximate total force, F = 493 N.