Physics, 07.03.2020 23:29 nidiavega2009

Please answer this question for me and explain why.

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Answer from: ash062701

D.None of these

Explanation:

The derivation of acceleration formula:

Let us call the 5kg mass m_2 and the 4kg mass m_1 . If the tension in the string is then for the mass m_2

(1). T-m_2g=-m_2a (the negative sign on the right side indicates that acceleration is downwards)

And for the mass m_1

(2). T-m_1g =m_1a (the acceleration is upwards, hence the positive sign)

Solving for in the 2nd equation we get:

T =m_1a+m_1g ,

and putting this into the 1st equation we get:

$m_1a+m_1g-m_2g=-m_2a\\\\m_1a+m_2a = m_2g-m_1g\\\\a(m_1+m_2)= (m_2-m_1)g$

$\boxed{a= \dfrac{(m_2-m_1)}{(m_1+m_2)} g}$

Back to the question:

Using the formula for the acceleration we find

$a= \dfrac{(5kg-4kg)}{(5kg+4kg)} g$

$a = \dfrac{g}{9},$

which is the acceleration that none of the given choices offer. Also, the acceleration of the two blocks is the same, because if it weren't, the difference in the instantaneous velocities of the objects would cause the string to break. Therefore, these two reasons make us decide that none of the choices are correct.

Answer from: Quest

object 2 because all the other ones are wrong

Answer from: Quest

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