Question

Two force vectors are perpendicular, that is, the angle between their directions is ninety degrees. If their magnitudes are 4.52 newtons and 7.33 newtons, then what is the magnitude of their sum?

F=__________ newtons

Answer 1

Magnitude of their sum, F = 8.61 N

Step-by-step explanation:

Resultant, R of two vectors P and Q is given by,

`R=√(P^2+Q^2+2PQcos\theta )`

Here P = 4.52 N

Q = 7.33 N

θ = 90°

Substituting

`R=√(4.52^2+7.33^2+2* 4.52* 7.33* cos90 )\\\\R=8.61N`

Magnitude of their sum, F = 8.61 N