Question

if the horizontal components of three vectors are given by 1, 2 and 3 N and vertical components are 1.3 and 4 N respectively then the magnitude of the resultant force is​

Answer 1

Answer:

Assume that the chain is exerting a 60 N force upon Fido at an angle of 40 degrees above the horizontal. A quick sketch of the situation reveals that to determine the vertical component of force, the sine function can be used and to determine the horizontal component of force, the cosine function can be used.

Explanation:

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Answer 2

Given: Horizontal force = 1, 2 and 3N

           Vertical force = 1, 3 and 4N

To find: The magnitude of the resultant force

Solution:

The resultant horizontal force will be the sum of all the forces in horizontal force, F₁= 1 + 2 + 3 = 6N

The resultant vertical force will be the sum of all the forces in vertical force, F₂ = 1 + 3 + 4 = 8N

The magnitude of the resultant force will be equal to F = $\sqrt{F1^2 + F2^2$

Putting the value of F₁ and F₂ into the equation,

F = $\sqrt{6^2 + 8^2$ N

F = $\sqrt{100$ N

F = 10N

The magnitude of the resultant force will be 10N.

• The force is the push/pull on an object with mass that causes it to change its velocity.
• The force is the vector quantity, and the SI unit is Newton.
• The force is the product of mass and acceleration.
• Acceleration is the rate of change of velocity.