Question

If a=mg-kv2/m,find,correct to the nearest whole number the value of v when a=2.8,m=12,g=9.8 and k=8/3

Answer 1

Answer:

The value of $v$ is ± 22.729.

Step-by-step explanation:

Let be $a=m\cdot g -\frac{k\cdot v^{2}}{m}$, the variable $v$ is now cleared:

$\frac{k\cdot v^{2}}{m}=m\cdot g -a$

$k\cdot v^{2} = m^{2}\cdot g- m\cdot a$

$v^{2} = \frac{m^{2}\cdot g - m\cdot a}{k}$

$v =\pm \sqrt{\frac{m^{2}\cdot g-m\cdot a}{k} }$

If $a = 2.8$, $m=12$, $g = 9.8$ and $k = \frac{8}{3}$, the value of $v$ is:

$v=\pm \sqrt{\frac{(12)^{2}\cdot (9.8)-(12)\cdot (2.8)}{\frac{8}{3} } }$

$v \approx \pm 22.729$

The value of $v$ is ± 22.729.