Linear momentum p of a body moving in one dimension varies with time according to equation p = a + b

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4-1.Newton's Laws of Motion

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The linear momentum $p$ of a body moving in one dimension varies with time according to the equation $p = a + b{t^2}$ where a and b are positive constants. The net force acting on the body is

AA constant

BProportional to ${t^2}$

CInversely proportional to t

DProportional to t

Solution

(d) $F = \frac{{dp}}{{dt}}\bar = \frac{d}{{dt}}(a + b{t^2}) = 2bt$
$\therefore F \propto t$

Standard 11

Physics

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