Question

There are 2 Physics questions of class 11th. Kindly open and answer only if you can answer it with full explanation. Even I know the answers explanation is all I need. Thank you

Answer 1

1st Question :

100 N is said to be to be one of the rectangular component of a vector . We have to find the actual vector and the other rectangular component.

Let the vector be $\vec A$

$|\vec A| \sin( \theta) = 100$

$= > |\vec A| \sin( 60 \degree) = 100$

$= > |\vec A| \times \dfrac{1}{ \sqrt{3} } = 100$

$= > |\vec A| = 100 \times \sqrt{3}$

$= > |\vec A| = 100 \times 1.732$

$= > |\vec A| = 173.2 \: N$

So actual vector is 173.2 N

So other component will be :

$= |\vec A| \cos( 60 \degree)$

$= 173.2 \times \dfrac{1}{2}$

$= 86.6 \: N$

2nd Question :

One of the rectangular component of 80 km/hr vector is 40 km/hr. We have to find the other rectangular component :

Let the vector be $\vec B$

$|\vec B| \sin( \theta) = 40$

$= > 80 \times \sin( \theta) = 40$

$= > \sin( \theta) = \dfrac{40}{80}$

$= > \sin( \theta) = \dfrac{1}{2}$

$= > \theta = 30 \degree$

So other rectangular component will be :

$= |\vec B| \cos( \theta)$

$= |\vec B| \times \cos( 30 \degree)$

$= 80 \times \dfrac{ \sqrt{3} }{2}$

$= 40 \sqrt{3} \: km {hr}^{ - 1}$