Question

1. a duck with a mass of 2 kg swims upstream. the water pushes it forward with 30 n, while resistance pushes backward with 22 n. what is the ducks acceleration? a) 2 m/s² b) 3 m/s² c) 4 m/s² d) 8 m/s²

Explanation:

Step1: Calculate net force

The water pushes forward with 30 N and resistance pushes backward with 22 N. Net - force $F_{net}=F_{forward}-F_{backward}$. So, $F_{net}=30 - 22=8$ N.

Step2: Use Newton's second law

Newton's second law is $F = ma$, where $F$ is the net - force, $m$ is the mass and $a$ is the acceleration. We know $F_{net}=8$ N and $m = 2$ kg. Rearranging for $a$, we get $a=\frac{F_{net}}{m}$. Substituting the values, $a=\frac{8}{2}=4$ m/s².

Answer:

c) 4 m/s²