Answer:
333.3 m
Explanation:
Given
[tex]m =100g\ =\ 0.1kg\\v = 100 m/s\\g = 10 m/s ^2[/tex]
Potential energy =[tex]\frac{2}{3}\ of\ Kinetic\ energy[/tex]......Equation(1)
We know that
Potential energy=mgh
Kinetic energy =[tex]\frac{1}{2} mv^{2}[/tex]
Now From the Equation(1)
[tex]mgh=\frac{2}{3}*\frac{1}{2} mv^{2}\\ gh=\frac{v^{2} }{3} \\10 * h=\ \frac{10000}{3}\\ h=\ \frac{1000}{3} \\h=333.3\ m[/tex]
