Question

Two mutually perpendicular forces of magnitude 6N and 8N are acting at a point find magnitude of the resultant force

Answer 1

We can solve it by parallogram law (class 11th kinematics topic)

Answer 2

The magnitude of the resultant force is 10 N.

Given,

Two mutually perpendicular forces of magnitude 6N and 8N are acting at a point.

To Find,

The magnitude of the resultant force.

Solution,

The formula for calculating the magnitude of the resultant of two forces is

F net = √(A²+B²+2ABcosθ)

where,

A and B are the magnitude of the forces

θ is the angle between the two forces.

Now, substituting the values

F net = √(6²+6²+2*6*8cos90)

Now, we know that the value of cos90 is 0

So,

F net = √(36+64)

F net = 10 N

Hence, the magnitude of the resultant force is 10 N.

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