Question

The hinge of a door is at a distance of 25 cm from the point of application of
force How much force must be applied so that it produces the moment of force of 4Nm
​

Answer 1

Answer:

Moment of force is also called Torque. As an idea, it is the turning effect to a force.

By definition,

Torque (about a point) = magnitude of force X perpendicular distance (of this point) from the point of application of force.

Putting the given values here,

4 = F X 0.25 (in SI units)

=> F = 16 N

Hope it helps.

Enjoy !

Answer 2

Explanation:

$⇝Given :-</p><p></p><p>Distance =25cm</p><p></p><p>Momentum = 5nm</p><p></p><p>▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃</p><p></p><p>⇝To Find :-</p><p></p><p>Force = ?</p><p></p><p>▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃</p><p></p><p>⇝Formula Used :-</p><p></p><p>{\red{\bigstar \: \: {\orange{\underbrace{\underline{\green{\bf{Force = \frac{momentum}{distance} }}}}}}}}★Force=distancemomentum</p><p>▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃</p><p></p><p>⇝Solution :-</p><p></p><p>❒ Here :</p><p></p><p>Force = ?</p><p>Momentum = 4nm</p><p>Distance = 25cm</p><p></p><p>❒ Solving Starts :</p><p></p><p>{:{\twoheadrightarrow{\bf \: \: \: \: \: \: \: \: \: \: \: {Force = \frac{momentum}{distance} }}}}:↠Force=distancemomentum</p><p>{:{\twoheadrightarrow{\bf \: \: \: \: \: \: \: \: \: \: \: {Force = \frac{4 \times{\cancel {100}}}{\cancel{25}} }}}}:↠Force=254×100</p><p>{:{\twoheadrightarrow{\bf \: \: \: \: \: \: \: \: \: \: \: {Force = 4 \times 4 }}}}:↠Force=4×4</p><p>{\large{\purple{:{\longmapsto{\underline{\boxed{\bf{Force = 16 N}}}}}}}}:⟼Force=16N</p><p></p><p>❒ Therefore :</p><p></p><p>\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\large{\purple{\underline{\red{\underline{\pink{\pmb{\mathfrak{Force = 16 N}}}}}}}}}Force=16NForce=16N</p><p>▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃</p><p></p><p>❒ More Info :</p><p></p><p>✏3 Laws of motion :</p><p></p><p>\begin{gathered}\begin{gathered}\red{\large \qquad \boxed{\boxed{\begin{array}{cc} \ ➳ \: \: \bf v = u + at \\ \\ \ ➳ \: \: \bf s = ut + \dfrac{1}{2}a {t}^{2} \\ \\ \ ➳ \: \: \bf{v}^{2} - {u}^{2} = 2as\end{array}}}}\end{gathered}\end{gathered} ➳v=u+at ➳s=ut+21at2 ➳v2−u2=2as</p><p>▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃</p><p>$