Three blocks of masses m1, m2 and m3 are connected to a massless string on a frictionless table as shown in the figure. They are pulled with a force of 40 N. If m1=10 kg, m2=6 kg and m3=4 kg, then tension T2 will be

Question

Three blocks of masses m1, m2 and m3 are connected to a massless string on a frictionless table as shown in the figure. They are pulled with a force of 40 N. If m1=10 kg, m2=6 kg and m3=4 kg, then tension T2 will be <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-jvqs8jv0eglr.png" /> (A) 10N (B) 20N (C) 32N (D) 40N

Tardigrade Admin · Accepted Answer

Since, the table is frictionless, i.e., it is smooth, therefore, force on the block is given by

F = (m_{1} + m_{2} + m_{3}) a

\Rightarrow a = \frac{F}{m _{1} + m _{2} + m _{3}}

\Rightarrow a = \frac{40}{10 + 6 + 4} = \frac{40}{20} = 2 m s^{- 2}

Now, the tension between 10 kg and 6 kg masses is given by

T_{2} = (m_{2} + m_{3}) a

= (4 + 6) 2 = 10 \times 2

T_{2} = 20 N

Q. Three blocks of masses $m_{1}, m_{2}$ and $m_{3}$ are connected to a massless string on a frictionless table as shown in the figure. They are pulled with a force of $40 N .$ If $m_{1} = 10 k g, m_{2} = 6 k g$ and $m_{3} = 4 k g,$ then tension $T_{2}$ will be

$10 N$

$20 N$

$32 N$

$40 N$

Q. Three blocks of masses m1​,m2​ and m3​ are connected to a massless string on a frictionless table as shown in the figure. They are pulled with a force of 40N. If m1​=10kg,m2​=6kg and m3​=4kg, then tension T2​ will be

10N

20N

32N

40N

Since, the table is frictionless, i.e., it is smooth, therefore, force on the block is given by F=(m1​+m2​+m3​)a ⇒a=m1​+m2​+m3​F​ ⇒a=10+6+440​=2040​=2ms−2 Now, the tension between 10 kg and 6 kg masses is given by T2​=(m2​+m3​)a =(4+6)2=10×2 T2​=20N

Q. Three blocks of masses $m_{1}, m_{2}$ and $m_{3}$ are connected to a massless string on a frictionless table as shown in the figure. They are pulled with a force of $40 N .$ If $m_{1} = 10 k g, m_{2} = 6 k g$ and $m_{3} = 4 k g,$ then tension $T_{2}$ will be

$10 N$

$20 N$

$32 N$

$40 N$