Question

The linear momentum $P$ of a body varies with time and is given by the equation $P=x+y{t}^2$ where $x$ and $y$ are constants. The net force acting on the body for a one-dimensional motion is proportional to:

• A. $t^2$
• B. $aconstant$
• C. $\frac{1}{t}$
• D. $t$

Answer 1

Answer: (D)

$t$

$P=x+y{t}^2$
$F=\frac{dP}{dt}=2yt\propto t$