Question

Given m= 45, K = 360 in the formula K = 1/2mv², find the value of V.​

Answer 1

Answer:

Value of v = 4

Step-by-step explanation:

Given :

Mass (m) = 45

Kinetic energy (K) = 360

To find :

The value of velocity (v)

Solution :

$\implies \sf{ k = \dfrac{1}{2} m {v}^{2} }$

$\implies\sf{360=\dfrac{1}{\cancel{2}}\times \cancel{45}\times {v}^{2}}$

$\implies\sf{360=22.5\times {v}^{2}}$

$\implies\sf{\cancel{\dfrac{360}{22.5}}={v}^{2}}$

$\implies\sf{16={v}^{2}}$

$\implies\sf{\sqrt{16}=v}$

$\implies\sf{4=v}$

So , the value if v is 4 .

Verification :

Find the kinetic energy from mass and velocity . If the value will come 360 . Then the answer will verified .

$\implies\sf{K=\dfrac{1}{2}\times 45\times{4}^{2}}$

$\implies\sf{K=22.5\times(4\times4)}$

$\implies\sf{K=22.5\times 16}$

$\implies\sf{K=360}$

Hence , verified