Question

A 10N force pulls a system of two masses on a horizontal frictionless surface as shown in fig. What is the tension developed in the string
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Answer 1

Solution :

⏭ Given:

✏ Two masses which are joined with massless string are placed on frictionless surface as shown in the figure.

✏ External force on system = 10N

⏭ To Find:

✏ Tension in the string

⏭ Concept:

✏ First we have to calculate acceleration of whole system after that we can find out tension force in the string with the help of net force method.

⏭ Calculation:

• Calculation of acceleration

$\implies \sf \: \red{F_{net} = (m_A + m_B) \times a} \\ \\ \implies \sf \: 10 = (3 + 2) \times a \\ \\ \implies \sf \: 10 = 5a \\ \\ \implies \: \boxed{ \sf{ \blue{a = 2 \: m {s}^{ - 2}}}}$

• Calculation of tension in string

✏ Net force on A block is given by

$\implies \sf \: \green{T = m_ A \times a} \\ \\ \implies \sf \: T = 3 \times 2 \\ \\ \implies \: \underline{ \boxed{ \bold{ \sf{ \orange{ \large{T = 6 \: N}}}}}} \: \gray{ \bigstar}$