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ASHA 777 [7]
3 years ago
6

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

Mathematics
1 answer:
RUDIKE [14]3 years ago
6 0

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.

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