Answered

Experience the convenience of getting your questions answered at IDNLearn.com. Get the information you need from our community of experts, who provide detailed and trustworthy answers.

Find the magnitude of the sum of a 10m displacement and a 5 -m displacement when the angle between them is 45

Sagot :

Onyebuchinnajiidn

Answer:

The magnitude of the resultant of the two vectors is 7.37 m.

Explanation:

let the first vector = a = 10 m

let the second vector = b = 5 m

angle between the two vectors, θ = 45⁰

The magnitude of the resultant of the two vectors is calculated as;

[tex]R^2 = a^2 + b^2 -2ab \times cos(\theta)\\\\R^2 = 10^2 + 5^2 - [2\times 10 \times 5 \times cos(45)]\\\\R^2 = 125 - [100 \times 0.7071]\\\\R^2 = 125 -70.71\\\\R^2 = 54.29 \\\\R= \sqrt{54.29} \\\\R = 7.37 \ m[/tex]

Therefore, the magnitude of the resultant of the two vectors is 7.37 m.

Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.