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Horizontal and Vertical Components of Projectile Motion

A mass m1 i...

Question

A mass $m_{1}$ is connected by a weightless cable passing over a frictionless pulley to a container of water, whose mass is $m_{0}$ at $t = 0$ . If the container ejects water in downward direction at a constant rate $b k g / s e c$ , with a velocity $v_{0}$ relative to the container, then acceleration of $m_{1}$ as a function of time is

\frac{(m_{1} - m_{0}) g}{m_{1} + (m_{0} - b t)}

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\frac{m_{1} g - (m_{0} - b t) g}{m_{1} + (m_{0} - b t)}

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\frac{m_{1} g - (m_{0} - b t) g + v_{0} b}{m_{1} + (m_{0} - b t)}

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\frac{m_{1} g - (m_{0} - b t) g + v_{0} b}{m_{1} - (m_{0} - b t)}

2218

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Solution

The correct option is C $\frac{m_{1} g - (m_{0} - b t) g + v_{0} b}{m_{1} + (m_{0} - b t)}$
option C is correct.

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The correct option is C m1g−(m0−bt)g+v0bm1+(m0−bt)option C is correct.

The correct option is C $\frac{m_{1} g - (m_{0} - b t) g + v_{0} b}{m_{1} + (m_{0} - b t)}$
option C is correct.