Question

Two masses are connected by a string that passes over a pulley.
The mass m_{1} is 9.2 kg, and the mass m_{2} is 1.6
kg. When the masses are simultaneously released from rest, what is
the magnitude of their acceleration (in m/s^{2})? Neglect
any friction.

[Note: if you need to enter a number in scientific notation, use 'e'. For example, 1200 = 1.2e3 and 0.0012 = 1.2e-3. Include several decimal places in your calculations and your answer to avoid rounding error. Do not include units with your answer.]

Answer #1

Let the magnitude of the acceleration is a.

Let the tension in the string is T.

Mass m_{1}=9.2 kg.

Mass m_{2}=1.6 kg.

For the mass m_{1}

For the mass m_{2}

From equation one and two we can say

The
magnitude of their acceleration is 6.896296296 m/s^{2}.

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