Question

Three blocks kept on a smooth horizontal surface are connected with massless strings. If 3 kg block is pulled by 6 N
force as shown, find the tension in string between 1 kg and 2 kg block?
​

Answer 1

Answer:

The tension in the string between the 1 kg and 2 kg blocks is 11.8 N.

Explanation:

                   6 N

                    |

                    |

                    |

   ---------------------------------

   |               |               |

   |               |               |

  1 kg            2 kg            3 kg

Let's assume that the tension in the string between the 1 kg and 2 kg blocks is T1, and the tension in the string between the 2 kg and 3 kg blocks is T2.

Since the surface is smooth, there is no friction, and we can assume that the blocks are in equilibrium.

For the 3 kg block:

The force applied, F = 6 N

The mass, m = 3 kg

Acceleration, a = F/m = 6/3 = 2 m/s^2 (the acceleration of all blocks)

For the 1 kg block:

The net force acting on the block is equal to the tension in the string (T1) minus the weight of the block (m1*g, where g is the acceleration due to gravity). So we have:

T1 - m1g = m1a

Substituting the values, we get:

T1 - 19.8 = 12

T1 = 11.8 N

Therefore, the tension in the string between the 1 kg and 2 kg blocks is 11.8 N.

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