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Question

Josh and Taylor, standing face-to-face on frictionless ice, push off each other, causing each to slide backward. Josh is much bigger than Taylor. After the push, which of the two is moving faster?

Solution

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Given values:\text{\underline{\textbf{Given values:}}}

m1>m2m_1>m_2

\begin{align*} \tag{$m_1$ mass of Josh.}\\ \tag{$m_2$ mass of Taylor.}\\ \end{align*}

Bodies of greater mass are more inert, are more difficult to move.

The force with which Josh and Taylor act on the surface is their weight:

W1=m1gW2=m2g\begin{align*} W_1=\frac{m_1}{g} \tag{Equation $1.$}\\ W_2=\frac{m_2}{g} \tag{Equation $2.$}\\ \end{align*}

From Equations 11 and 22, we see that W1W_1 is greater than W2W_2, so to move Taylor, we need less force. Thus, Taylor will have greater acceleration     \implies greater speed.

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