The resultant of two equal forces acting at right angles to each other is 1414 N. Find the magnitude of each force?

Solution

Consider the component, A=B = x.
The forces are acting at right angles to each other.
That is,
$straight theta space equals space 90 to the power of 0$
Resultant, R = 1414 N
Now,

$space space space space space space space space space space space space space space space space space space space space space space space straight R space equals space square root of straight A squared plus straight B squared plus 2 AB space cos space straight theta end root space space rightwards double arrow space space space space space left parenthesis 1414 right parenthesis squared space equals space straight x squared space plus space straight x squared space plus space 2 straight x. straight x space straight x space cos space 90 to the power of straight o space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 2 straight x squared space rightwards double arrow space space space space space space space space space space space space space space space space space straight x space equals space fraction numerator 1414 over denominator square root of 2 end fraction space equals space 1000 space straight N$
x is the magnitude of each force.

Some More Questions From Motion in A Plane Chapter

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

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Motion In A Plane

The resultant of two equal forces acting at right angles to each other is 1414 N. Find the magnitude of each force?

Some More Questions From Motion in A Plane Chapter

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Give two examples of polar vectors.

What are axial vectors?

Give two examples of axial vectors.

What are tensors?

Give one example of tensor.

What is module of vector?

What are equal vectors?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Motion In A Plane

The resultant of two equal forces acting at right angles to each other is 1414 N. Find the magnitude of each force?

Some More Questions From Motion in A Plane Chapter

Pick out the only vector quantities in the following list:Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list: force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Give two examples of polar vectors.

What are axial vectors?

Give two examples of axial vectors.

What are tensors?

Give one example of tensor.

What is module of vector?

What are equal vectors?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.