help@askiitians.com

+91-735-322-1155

General Physics> Can two forces of magnitude 6N and 10N re...

question mark

Can two forces of magnitude 6N and 10N respectively have a resultant of (a). 12N (b). 18N ?

Anmol chaudhary , 8 Years ago

Grade 11

1 Answers

Shreya D Nanda

Magnitude of resultant force is given by, $F_{r} =\sqrt{F_{1}^{2} +F_{2}^{2} +2F_{1}F_{2} \cos \theta }$

According to the given question, let us consider

12N as answer

$\therefore 12 = \sqrt{6^2 + 10^2 + 2*6*10 \cos \theta }$ $\Rightarrow 12=\sqrt{36+100+120\cos\theta }$

or $12^2=136+120\cos\theta$ $\Rightarrow \cos\theta = [144-136]/120 = 0.667$

$\Rightarrow \theta = 86.177^{\circ}$

$\therefore$ The answer to the question is 12N. , i.e, the resultant of forces 6N and 10N can be 12N when angle between the two forces is $\cos^{-1}0.667$ or $86.1774^{\circ}$ .

NOTE: The resultant of 6N and 10N can never be 18 N, as from above method, we get $\cos \theta = 1.556$

which is impossible becoz, $-1\leq \cos \theta \leq 1$

Hope you understand....

Approved

Last Activity: 8 Years ago

LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

Full Live Access

Study Material

Live Doubts Solving

Daily Class Assignments

In viewing through a magnifying glass, one usually positions one's eyes very close to the lens. Does angular magnification change if the eye is moved back?

general physics

1 Answer Available

Last Activity: 3 Months ago

moment of inertia of a equilateral triangle about an axis passing through centre and perppendicular to the plane

general physics

1 Answer Available

Last Activity: 3 Years ago

. Because of the rotation of the earth, a plumb bob may not hang exactly along the direction of
the earth’s gravitational pull (its weight) but deviates slightly from this direction. Calculate the
deviation (a) at 40 latitude, (b) at the poles, and (c) at the equator

general physics

1 Answer Available

Last Activity: 3 Years ago

The length of a massless rod is measured using vernier callipers having 10 vernier scale divisions and least count of 0.1 mm. Two masses 1.00 ± 0.01 kg and 4.00 ± 0.02 kg are attached to its ends. If reading of vernier scale is 5 divisions coinciding with 1.3 cm, what is the % error in locating centre of mass from lighter mass

general physics

2 Answers Available

Last Activity: 3 Years ago

A block is kept on x-y plane at a point (2m,3m). It is pushed with a force of magnitude 10 Ntowards point (5m,7m). The force can be represented as?

general physics

1 Answer Available

Last Activity: 3 Years ago

View all Questions