Exploring Resultant Forces in Vector Problems

What is the resultant force magnitude calculated using the law of cosines?

• 4.5 Newtons

• 6.0 Newtons

• 5.0 Newtons

• 5.4 Newtons

What is the angle opposite to the resultant force in the parallelogram?

• 70 degrees

• 90 degrees

• 100 degrees

• 80 degrees

What is the correct expression for the magnitude of the resultant force using the law of cosines?

• Square root of (3^2 + 5^2 - 2*3*5*cos(80 degrees))

• Square root of (3^2 + 5^2 + 2*3*5*cos(80 degrees))

• 3^2 + 5^2 + 2*3*5*cos(80 degrees)

• 3^2 + 5^2 - 2*3*5*sin(80 degrees)

What is the force exerted by the first magnet on the metal ball?

• 10 Newtons

• 8 Newtons

• 3 Newtons

• 5 Newtons

At what angle is the second magnet's force applied relative to the first magnet's force?

• 100 degrees

• 90 degrees

• 80 degrees

• 120 degrees

Which rule is used to add the two vectors geometrically?

• Parallelogram rule

• Circle rule

• Triangle rule

• Rectangle rule

What geometric shape is formed by the vector addition in this scenario?

• Rectangle

• Triangle

• Parallelogram

• Circle

What is the angle between the resultant force and the first magnet's force direction?

• 45 degrees

• 30 degrees

• 33 degrees

• 25 degrees

Using the law of sines, what is the relationship used to find the direction of the resultant force?

• Cotangent of theta over side opposite

• Sine of theta over side opposite

• Cosine of theta over side opposite

• Tangent of theta over side opposite

What is the approximate value of theta using the law of sines?

• 30 degrees

• 35 degrees

• 40 degrees

• 33 degrees