You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Relative Velocity

Two blocks of...

Question

Two blocks of masses $m_{1} = 1 k g$ and $m_{2} = 2 k g$ are connected by massless strings and placed on a horizontal frictionless surface as shown in figure. A force $F = 12 N$ is applied to mass $m_{1}$ as shown then tension $(T)$ between $m_{1}$ and $m_{2}$

4 N

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8 N

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

10 N

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 N

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $8 N$
Net force on the system $(m_{1} + m_{2} = 3 k g)$ is $F = 12 N$ so the common acceleration will be $a = \frac{F}{3 k g} = 4 m / s^{2}$
When we consider $m_{2}$ we $n o t i c e$ that $o n l y$ $h o r i z o n t a l$ force on it is $T$ so it should $p r o d u c e$
an acceleration $4 m / s^{2}$ in $m_{2}$ so that it can move $t o g e t h e r$ with $m_{1}$ so $4 m / s^{2} = \frac{T}{m_{2}}$
ot $T = 4 m / s^{2} \times 2 k g = 8 N$

Suggest Corrections

Similar questions

Q. Two masses

m_{1}

and

m_{2}

are placed on a smooth horizontal surface and are connected by a string of negligible mass. A horizontal force

F

is applied on the mass

m_{2}

as shown in the figure. The tension in the string is

Three blocks of masses $m_{1} = 1 k g, m_{2} = 2 k g a n d m_{3} = 3 k g$ are placed in contact on a horizontal frictionless surface. A force $F = 12 N$ is applied to mass $m_{1}$ . The acceleration of the system is

Q. Three blocks of masses

m_{1,} m_{2}

, and

m_{3}

are connected by a massless unstrechable string as shown in the figure on a frictionless table. They are pulled by a force

T_{3} = 40 N

. If

m_{1} = 10 k g

m_{2} = 6 k g

and

m_{3} = 4 k g

, then tension

T_{2}

will be:

Three blocks of mass $M_{1}$ , $M_{2}$ & $M_{3}$ are connected by massless strings as shown on a frictionless table. Where $T_{1}$ is the tension in the string between block $M_{1}$ and $M_{2}$ , $T_{2}$ is the tension in the string between block $M_{2}$ and $M_{3}$ . They're pulled with a force $F = 40 N$ . If $M_{1}$ =10 kg, $M_{2}$ = 6 kg and $M_{3}$ = 4 kg, then tension $T_{2}$ will be:

Q. Two blocks of masses

m_{1} = 1 K g

and

m_{2} = 2 K g

are connected by a string. An external force of

2 N

is exerted on a

2 K g

block as shown in figure. Coefficient of friction between the blocks and the floor is 0.4 and 0.5 as shown in figure. Find the tension force between the two blocks.

Join BYJU'S Learning Program

Two blocks of masses m1=1 kg and m2=2 kg are connected by massless strings and placed on a horizontal frictionless surface as shown in figure. A force F=12 N is applied to mass m1 as shown then tension (T) between m1 and m2

Two blocks of masses $m_{1} = 1 k g$ and $m_{2} = 2 k g$ are connected by massless strings and placed on a horizontal frictionless surface as shown in figure. A force $F = 12 N$ is applied to mass $m_{1}$ as shown then tension $(T)$ between $m_{1}$ and $m_{2}$