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Unit $4$ Progress Check: FRQ $2$

A second cart, Cart $2,$ which has a mass greater than the mass $m$ of the original cart, is placed on the same track, as shown in Figure $5.$ With Cart $2$ initially at rest, the scenario is repeated with a horizontal applied force having the same time$-$dependence as the force that was applied to the original cart.

$($d$)$ Indicate whether the maximum momentum for Cart $2$ is greater than, less than, or the same as the maximum momentum for Cart $1.$ Justify your answer.

Greater than $$ Less than $$ Equal to