Question

A 2kg accelerate at the rate of 11m/s2 in a direction 30° north of east as shown in the figure. One force has a magnitude 11N and is directed north. The magnitude of second force is
1)11N 2)11√2N 3)11√3N 4)122N​

Answer 1

Answer:

Option (2)11√2 is the correct answer

Explanation:

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Answer 2

Concept:

• Calculating resultant vectors
• Force and acceleration

Given:

• Mass of object = 2kg
• acceleration of 11 m/s^2 30° north of east
• Vertical force F1 = 11 N
• The angle between horizontal force F2 and acceleration = 30°
• The angle between vertical force F1 and acceleration = 60°

Find:

• The magnitude of second force F2

Solution:

We know that F = ma

The net force causing acceleration of 11 m/s^2 = 2*11 = 22N

We know F1 = 11N

The resultant force of 2 perpendicular forces is the square root of the sum of the squares of the forces

22 = √11²+ F2²

22² = 121 + F2²

484 = 121+ F2²

363 = F2²

F2 = 11√3 N

The magnitude of the second force is 11√3 N.

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