Question

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. Proportional to $t^2$
• B. $A$ constant
• C. Proportional to $t$
• D. Inversely proportional to $t$

Answer 1

Answer: (C)

$F=\frac{dp}{dt}=2bt$