On a smooth plane surface (figure) two block A and B are accelerated rightwards by applying a force 15N on A . If mass of B is twice that of A , the force on B is

Question

On a smooth plane surface (figure) two block A and B are accelerated rightwards by applying a force 15N on A . If mass of B is twice that of A , the force on B is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-uzluulddql2kxpcw.jpg" /> (A) 30N (B) 15N (C) 10N (D) 5N

Tardigrade Admin · Accepted Answer

Let us consider the mass of block A=m , Then the mass of block B=2m Net force acting on the blocks is 15N . Then the acceleration of both blocks will be, a=(15/m + 2 m)=(15/3 m)=(5/m) ' So, force on block B=2ma=2m× (5/m)=10N .

Q. On a smooth plane surface (figure) two block $A$ and $B$ are accelerated rightwards by applying a force $15 N$ on $A$ . If mass of $B$ is twice that of $A$ , the force on $B$ is

$30 N$

$15 N$

$10 N$

$5 N$

Let us consider the mass of block $A = m$ ,
Then the mass of block $B = 2 m$
Net force acting on the blocks is $15 N$ .
Then the acceleration of both blocks will be,
$a = \frac{15}{m + 2 m} = \frac{15}{3 m} = \frac{5}{m}$ '
So, force on block $B = 2 ma = 2 m \times \frac{5}{m} = 10 N$ .

Q. On a smooth plane surface (figure) two block A and B are accelerated rightwards by applying a force 15N on A . If mass of B is twice that of A , the force on B is

30N

15N

10N

5N