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
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
A constant
Proportional to ${t^2}$
Inversely proportional to t
Proportional to t
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
$F = \frac{{dp}}{{dt}}\bar = \frac{d}{{dt}}(a + b{t^2}) = 2bt$
$\therefore F \propto t$
Other Language