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Two objects are connected by a string that passes over a frictionless pulley as in the figure below, where m1 < m2 and a1 and a2 are the respective magnitudes of the accelerations. Which mathematical statement is true concerning the magnitude of the acceleration a2 of mass m2?

1. a2 = g
2. a2 < g
3. a2 > g
4. a2 > a1
5. a2 < a1

Respuesta :

Answer:2

Explanation:

Given

[tex]m_2>m_1[/tex]

and [tex]a_1[/tex] and [tex]a_2[/tex] are the acceleration of 1 and 2

Suppose  T is the Tension

then for block 2

[tex]m_2g-T=m_2a[/tex]

[tex]m_2(g-a)=T---1[/tex]

For block 1

[tex]T-m_1g=m_1a[/tex]

[tex]T=m_1(g+a)----2[/tex]

equate 1 and 2

[tex]m_2(g-a)=m_1(g+a)[/tex]

[tex]a=\frac{m_2-m_1}{m_1+m_2}[/tex]

where [tex]a=a_1=a_2[/tex]

thus we can see that a is less than g

therefore [tex]a_2 < g[/tex]

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