Question

Three blocks are connected to each other with light inextensible strings as shown in the figure given below. Tension T, and T2 are respectively 10 kg 7 kg 3 kg T, T 2. 20 N 100 N (1) 100 N, 20 N (2) 20 N, 100 N (3) 60 N, 32 N (4) 32 N, 60 N​

Answer 1

Answer:

• Acceleration :

$\implies \sf Acceleration = \dfrac{Force_{(net)}}{mass_{(net)}}$

$\implies \sf Acceleration = \dfrac{100 -20 }{3 + 7 + 10}$

$\implies \sf Acceleration = \dfrac{80}{20}$

$\implies \sf Acceleration =\dfrac{8}{2}$

$\implies \underline{ \boxed{ \red{\bf Acceleration =4 \: {ms}^{ - 2} }}}$

Block of mass 3 kg :

$\implies \sf T_1 - 20 = 3 \times 4$

$\implies \sf T_1 - 20 = 12$

$\implies \sf T_1 = 12 + 20$

$\implies \underline{ \boxed{ \orange{ \bf T_1 = 32 \: N}}}$

Block of mass 10 kg :

$\implies \sf 100 - T_2 = 10\times 4$

$\implies \sf 100 - T_2 =40$

$\implies \sf T_2 =100 - 40$

$\implies \underline{ \boxed{ \purple{ \bf T_2 = 60 \: N}}}$

Hence, the option (4) is the correct answer.